Kalman Filter Algorithm for Rating and Prediction in Basketball

The Thesis presents a state-space model for a basketball league and a Kalman filter algorithm for the estimation of the state of the league. In the state-space model, each of the basketball teams is associated with a rating that represents its strength compared to the other teams. The ratings are assumed to evolve in time following a stochastic process with independent Gaussian increments. The estimation of the team ratings is based on the observed game scores that are assumed to depend linearly on the true strengths of the teams and independent Gaussian noise. The team ratings are estimated using a recursive Kalman filter algorithm that produces least squares optimal estimates for the team strengths and predictions for the scores of the future games. Additionally, if the Gaussianity assumption holds, the predictions given by the Kalman filter maximize the likelihood of the observed scores. The team ratings allow probabilistic inference about the ranking of the teams and their relative strengths as well as about the teams’ winning probabilities in future games. The predictions about the winners of the games are correct 65-70% of the time. The team ratings explain 16% of the random variation observed in the game scores. Furthermore, the winning probabilities given by the model are concurrent with the observed scores. The state-space model includes four independent parameters that involve the variances of noise terms and the home court advantage observed in the scores. The Thesis presents the estimation of these parameters using the maximum likelihood method as well as using other techniques. The Thesis also gives various example analyses related to the American professional basketball league, i.e., National Basketball Association (NBA), and regular seasons played in year 2005 through 2010. Additionally, the season 2009-2010 is discussed in full detail, including the playoffs.

Geospatial environmental data modelling applications using remote sensing, GIS and spatial statistics

This thesis presents novel modelling applications for environmental geospatial data using remote sensing, GIS and statistical modelling techniques. The studied themes can be classified into four main themes: (i) to develop advanced geospatial databases. Paper (I) demonstrates the creation of a geospatial database for the Glanville fritillary butterfly (Melitaea cinxia) in the Åland Islands, south-western Finland; (ii) to analyse species diversity and distribution using GIS techniques. Paper (II) presents a diversity and geographical distribution analysis for Scopulini moths at a world-wide scale; (iii) to study spatiotemporal forest cover change. Paper (III) presents a study of exotic and indigenous tree cover change detection in Taita Hills Kenya using airborne imagery and GIS analysis techniques; (iv) to explore predictive modelling techniques using geospatial data. In Paper (IV) human population occurrence and abundance in the Taita Hills highlands was predicted using the generalized additive modelling (GAM) technique. Paper (V) presents techniques to enhance fire prediction and burned area estimation at a regional scale in East Caprivi Namibia. Paper (VI) compares eight state-of-the-art predictive modelling methods to improve fire prediction, burned area estimation and fire risk mapping in East Caprivi Namibia. The results in Paper (I) showed that geospatial data can be managed effectively using advanced relational database management systems. Metapopulation data for Melitaea cinxia butterfly was successfully combined with GPS-delimited habitat patch information and climatic data. Using the geospatial database, spatial analyses were successfully conducted at habitat patch level or at more coarse analysis scales. Moreover, this study showed it appears evident that at a large-scale spatially correlated weather conditions are one of the primary causes of spatially correlated changes in Melitaea cinxia population sizes. In Paper (II) spatiotemporal characteristics of Socupulini moths description, diversity and distribution were analysed at a world-wide scale and for the first time GIS techniques were used for Scopulini moth geographical distribution analysis. This study revealed that Scopulini moths have a cosmopolitan distribution. The majority of the species have been described from the low latitudes, sub-Saharan Africa being the hot spot of species diversity. However, the taxonomical effort has been uneven among biogeographical regions. Paper III showed that forest cover change can be analysed in great detail using modern airborne imagery techniques and historical aerial photographs. However, when spatiotemporal forest cover change is studied care has to be taken in co-registration and image interpretation when historical black and white aerial photography is used. In Paper (IV) human population distribution and abundance could be modelled with fairly good results using geospatial predictors and non-Gaussian predictive modelling techniques. Moreover, land cover layer is not necessary needed as a predictor because first and second-order image texture measurements derived from satellite imagery had more power to explain the variation in dwelling unit occurrence and abundance. Paper V showed that generalized linear model (GLM) is a suitable technique for fire occurrence prediction and for burned area estimation. GLM based burned area estimations were found to be more superior than the existing MODIS burned area product (MCD45A1). However, spatial autocorrelation of fires has to be taken into account when using the GLM technique for fire occurrence prediction. Paper VI showed that novel statistical predictive modelling techniques can be used to improve fire prediction, burned area estimation and fire risk mapping at a regional scale. However, some noticeable variation between different predictive modelling techniques for fire occurrence prediction and burned area estimation existed.

Determinants of vascular cognitive impairment : White matter lesions, brain atrophy and their neuropsychological correlates

The concept of vascular cognitive impairment (VCI) covers a wide spectrum of cognitive dysfunctions related to cerebrovascular disease. Among the pathophysiological determinants of VCI are cerebral stroke, white matter lesions and brain atrophy, which are known to be important risk factors for dementia. However, the specific mechanisms behind the brain abnormalities and cognitive decline are still poorly understood. The present study investigated the neuropsychological correlates of particular magnetic resonance imaging (MRI) findings, namely, medial temporal lobe atrophy (MTA), white matter hyperintensities (WMH), general cortical atrophy and corpus callosum (CC) atrophy in subjects with cerebrovascular disease. Furthermore, the cognitive profile of subcortical ischaemic vascular disease (SIVD) was examined. This study was conducted as part of two large multidisciplinary study projects, the Helsinki Stroke Aging Memory (SAM) Study and the multinational Leukoaraiosis and Disability (LADIS) Study. The SAM cohort consisted of 486 patients, between 55 and 85 years old, with ischaemic stroke from the Helsinki University Hospital, Helsinki, Finland. The LADIS Study included a mixed sample of subjects (n=639) with age-related WMH, between 65 and 84 years old, gathered from 11 centres around Europe. Both studies included comprehensive clinical and neuropsychological assessments and detailed brain MRI. The relationships between the MRI findings and the neuropsychological test performance were analysed by controlling for relevant confounding factors such as age, education and other coexisting brain lesions. The results revealed that in elderly patients with ischaemic stroke, moderate to severe MTA was specifically related to impairment of memory and visuospatial functions, but mild MTA had no clinical relevance. Instead, WMH were primarily associated with executive deficits and mental slowing. These deficits mediated the relationship between WMH and other, secondary cognitive deficits. Cognitive decline was best predicted by the overall degree of WMH, whereas the independent contribution of regional WMH measures was low. Executive deficits were the most prominent cognitive characteristic in SIVD. Compared to other stroke patients, the patients with SIVD also presented more severe memory deficits, which were related to MTA. The cognitive decline in SIVD occurred independently of depressive symptoms and, relative to healthy control subjects, it was substantial in severity. In stroke patients, general cortical atrophy also turned out to be a strong predictor of cognitive decline in a wide range of cognitive domains. Moreover, in elderly subjects with WMH, overall CC atrophy was related to reduction in mental speed, while anterior CC atrophy was independently associated with frontal lobe-mediated executive functions and attention. The present study provides cross-sectional evidence for the involvement of WMH, MTA, general cortical atrophy and CC atrophy in VCI. The results suggest that there are multifaceted pathophysiological mechanisms behind VCI in the elderly, including both vascular ischaemic lesions and neurodegenerative changes. The different pathological changes are highly interrelated processes and together they may produce cumulative effects on cognitive decline.

Noise sensitivity medical, psychological and genetic aspects

Noise can be defined as unwanted sound. It may adversely affect the health and well-being of individuals. Noise sensitivity is a personality trait covering attitudes towards noise in general and a predictor of noise annoyance. Noise sensitive individuals are more affected by noise than less sensitive individuals. The determinants and characteristics related to noise sensitivity are rather poorly known. The risk of health effects caused by noise can be hypothesized to be higher for noise sensitive individuals compared to those who are not noise sensitive. A cardiovascular disease may be an example of outcomes. The general aim of the present study was to investigate the association of noise sensitivity with specific somatic and psychological factors, including the genetic component of noise sensitivity, and the association of noise sensitivity with mortality. The study was based on the Finnish Twin Cohort of same-sex twin pairs born before 1958. In 1988 a questionnaire was sent to twin pairs discordant for hypertension. 1495 individuals (688 men, 807 women) aged 31 88 years replied, including 573 twin pairs. 218 of the subjects lived in the Helsinki Metropolitan Area. Self-reported noise sensitivity, lifetime noise exposure and hypertension were obtained from the questionnaire study in 1988 and other somatic and psychological factors from the questionnaire study in 1981 for the same individuals. In addition, noise map information (1988 1992) from the Helsinki Metropolitan Area and mortality follow-up 1989 2003 were used. To evaluate the stability and validity of noise sensitivity, a new questionnaire was sent in 2002 to a sample of the subjects who had replied to the 1988 questionnaire. Of all subjects who had answered the question on noise sensitivity, 38 % were noise sensitive. Noise sensitivity was independent of noise exposure levels indicated in noise maps. Subjects with high noise sensitivity reported more transportation noise exposure than subjects with low noise sensitivity. Noise sensitive subjects reported transportation noise exposure outside the environmental noise map areas almost twice as often as non-sensitive subjects. Noise sensitivity was associated with hypertension, emphysema, use of psychotropic drugs, smoking, stress and hostility, even when lifetime noise exposure was adjusted for. Monozygotic twin pairs were more similar with regards noise sensitivity than dizygotic twin pairs, and quantitative genetic modelling indicated significant familiality. The best fitting genetic model provided an estimate of heritability of 36 %. Follow-up of subjects in the case-control study showed that cardiovascular mortality was significantly increased among noise sensitive women, but not among men. For coronary heart mortality the interaction of noise sensitivity and lifetime noise exposure was statistically significant in women. In conclusion, noise sensitivity has both somatic and psychological components. It does aggregate in families and probably has a genetic component. Noise sensitivity may be a risk factor for cardiovascular mortality in women.

The white-rot fungi Phlebia radiata and Dichomitus squalens in wood-based cultures: expression of laccases, lignin peroxidases, and oxalate decarboxylase

Basidiomycetous white-rot fungi are the only organisms that can efficiently decompose all the components of wood. Moreover, white-rot fungi possess the ability to mineralize recalcitrant lignin polymer with their extracellular, oxidative lignin-modifying enzymes (LMEs), i.e. laccase, lignin peroxidase (LiP), manganese peroxidase (MnP), and versatile peroxidase (VP). Within one white-rot fungal species LMEs are typically present as several isozymes encoded by multiple genes. This study focused on two effi cient lignin-degrading white-rot fungal species, Phlebia radiata and Dichomitus squalens. Molecular level knowledge of the LMEs of the Finnish isolate P. radiata FBCC43 (79, ATCC 64658) was complemented with cloning and characterization of a new laccase (Pr-lac2), two new LiP-encoding genes (Pr-lip1, Pr-lip4), and Pr-lip3 gene that has been previously described only at cDNAlevel. Also, two laccase-encoding genes (Ds-lac3, Ds-lac4) of D. squalens were cloned and characterized for the first time. Phylogenetic analysis revealed close evolutionary relationships between the P. radiata LiP isozymes. Distinct protein phylogeny for both P. radiata and D. squalens laccases suggested different physiological functions for the corresponding enzymes. Supplementation of P. radiata liquid culture medium with excess Cu2+ notably increased laccase activity and good fungal growth was achieved in complex medium rich with organic nitrogen. Wood is the natural substrate of lignin-degrading white-rot fungi, supporting production of enzymes and metabolites needed for fungal growth and the breakdown of lignocellulose. In this work, emphasis was on solid-state wood or wood-containing cultures that mimic the natural growth conditions of white-rot fungi. Transcript analyses showed that wood promoted expression of all the presently known LME-encoding genes of P. radiata and laccase-encoding genes of D. squalens. Expression of the studied individual LME-encoding genes of P. radiata and D. squalens was unequal in transcript quantities and apparently time-dependent, thus suggesting the importance of several distinct LMEs within one fungal species. In addition to LMEs, white-rot fungi secrete other compounds that are important in decomposition of wood and lignin. One of these compounds is oxalic acid, which is a common metabolite of wood-rotting fungi. Fungi produce also oxalic-acid degrading enzymes of which the most widespread is oxalate decarboxylase (ODC). However, the role of ODC in fungi is still ambiguous with propositions from regulation of intra and extracellular oxalic acid levels to a function in primary growth and concomitant production of ATP. In this study, intracellular ODC activity was detected in four white-rot fungal species, and D. squalens showed the highest ODC activity upon exposure to oxalic acid. Oxalic acid was the most common organic acid secreted by the ODC-positive white-rot fungi and the only organic acid detected in wood cultures. The ODC-encoding gene Ds-odc was cloned from two strains of D. squalens showing the first characterization of an odc-gene from a white-rot polypore species. Biochemical properties of the D. squalens ODC resembled those described for other basidiomycete ODCs. However, the translated amino acid sequence of Ds-odc has a novel N-terminal primary structure with a repetitive Ala-Ser-rich region of ca 60 amino acid residues in length. Expression of the Ds-odc transcripts suggested a constitutive metabolic role for the corresponding ODC enzyme. According to the results, it is proposed that ODC may have an essential implication for the growth and basic metabolism of wood-decaying fungi.

Characterization of lignin-modifying enzymes of the selective white-rot fungus Physisporinus rivulosus

White-rot fungi are wood degrading organisms that are able to decompose all wood polymers; lignin, cellulose and hemicellulose. Especially the selective white-rot fungi that decompose preferentially wood lignin are promising for biopulping applications. In biopulping the pretreatment of wood chips with white-rot fungi enhances the subsequent pulping step and substantially reduces the refining energy consumption in mechanical pulping. Because it is not possible to carry out biopulping in industrial scale as a closed process it has been necessary to search for new selective strains of white-rot fungi which naturally occur in Finland and cause selective white-rot of Finnish wood raw-material. In a screening of 300 fungal strains a rare polypore, Physisporinus rivulosus strain T241i isolated from a forest burn research site, was found to be a selective lignin degrader and promising for the use in biopulping. Since selective lignin degradation is apparently essential for biopulping, knowledge on lignin-modifying enzymes and the regulation of their production by a biopulping fungus is needed. White-rot fungal enzymes that participate in lignin degradation are laccase, lignin peroxidase (LiP), manganese peroxidase (MnP), versatile peroxidase (VP) and hydrogen peroxide forming enzymes. In this study, P. rivulosus was observed to produce MnP, laccase and oxalic acid during growth on wood chips. In liquid cultures manganese and veratryl alcohol increased the production of acidic MnP isoforms detected also in wood chip cultures. Laccase production by P. rivulosus was low unless the cultures were supplemented with sawdust and charred wood, the components of natural growth environment of the fungus. In white-rot fungi the lignin-modifying enzymes are typically present as multiple isoforms. In this study, two MnP encoding genes, mnpA and mnpB, were cloned and characterized from P. rivulosus T241i. Analysis of the N-terminal amino acid sequences of two purified MnPs and putative amino acid sequence of the two cloned mnp genes suggested that P. rivulosus possesses at least four mnp genes. The genes mnpA and mnpB markedly differ from each other by the gene length, sequence and intron-exon structure. In addition, their expression is differentially affected by the addition of manganese and veratryl alcohol. P. rivulosus produced laccase as at least two isoforms. The results of this study revealed that the production of MnP and laccase was differentially regulated in P. rivulosus, which ensures the efficient lignin degradation under a variety of environmental conditions.

Degradation of lignin and other 14C-labelled compounds in compost and soil with an emphasis on white-rot fungi

Puu, ruohokasvit ja näistä tehdyt tuotteet kuten mekaanisesta massasta valmistettu sanomalehtipaperi sisältävät ligniiniä, joka hajoaa yleensä hyvin hitaasti luonnossa. Valkolahosienet hajottavat ligniiniä tehokkaimmin, ja koska niiden tuottamat entsyymit hajottavat myös muita vaikeasti hajoavia yhdisteitä, voidaan valkolahosienten avulla mahdollisesti puhdistaa saastuneita maita. Tässä työssä haluttiin selvittää, säilyttävätkö valkolahosienet (Abortiporus biennis, Bjerkandera adusta, Dichomitus squalens, Phanerochaete chrysosporium, Phanerochaete sordida, Phlebia radiata, Pleurotus ostreatus, Trametes hirsuta ja Trametes versicolor) aktiivisuutensa ja kasvavatko ne maassa. Aktiivisuutta mitattiin seuraamalla sienten synteettisen ligniinin (14C-DHP) hajotuskykyä. T. versicolor (silkkivyökääpä) osoittautui tehokkaimmaksi ligniinin hajottajaksi ja sen pentakloorifenolin (PCP) hajotuskykyä tutkittiin erillisessä kokeessa. Entiset tai pitkään käytössä olleet saha-alueet ovat yhä saastuneet puun käsittelyaineista peräisin olevilla kloorifenoleilla. Biohajoavien muovien kehitystyö sekä kompostoinnin yleistyminen jätteiden käsittelymenetelmänä ovat luoneet tarpeen materiaalien biohajoavuuden määrittämiseen. Euroopan standardisoimisjärjestön (CEN) kontrolloidussa kompostitestissä biohajoavuus määritetään materiaalin hajoamisen aikana muodostuvan hiilidioksidin perusteella. Hiilidioksidin tuotto mitataan sekä näytettä sisältävästä kompostista että kompostista ilman näytettä, ja tällöin oletetaan, että kompostin orgaaninen aines molemmissa komposteissa (tausta) tuottaa yhtä paljon hiilidioksidia. Testin puutteeksi saattaa osoittautua kompostissa tai maassa esiintyvä "priming effect". Tällä tarkoitetaan materiaalin lisäämisen jälkeen esiintyvää epänormaalin suurita tai pientä hiilidioksidin muodostusta, minkä seurauksena testin tulosksena saatava biohajoavuus on virheellinen. Ligniinin hajotessa muodostuu enemmän humusta kuin hiilidioksidia, koska ligniini on humuksen tärkein lähtöaine. Näin ollen ligniiniä sisältävät paperituotteet saattavat testin mukaan vaikuttaa biologisesti hajoamattomilta. Valkolahosienet hajottivat 4-23% ligniinistä hiilidioksidiksi ja T. versicolor 29% PCP:sta. Kompostissa ligniini hajosi hiilidioksidiksi 58°C:ssa huomattavasti vähemmän (8%) kuin lämpötiloissa 35°C ja 50°C (23-24%). Kompostin todennäköisesti tärkeimpien ligniinin hajottajien, termofiilisten sienten, tyypillinen optimilämpötila on 45°C, eivätkä ne ole enää aktiivisia 58°C:ssa. Sekä maassa että kompostissa ligniini sitoutui kuitenkin suurimmaksi osaksi humukseen. Valkolahosienet hajottivat sekä humukseen sitoutunutta ligniiniä että PCP:ia, mutta kompostin sekapopulaatio ei tähän pystynyt, ja ligniiniä sitoutui humukseen yhä enemmän kompostoinnin aikana. T. versicolor hajotti PCP:ia tehokkaasti, eikä se tuottanut myrkyllisiä kloorianisoleja, joita jotkut valkolahosienet saattavat muodostaa kloorifenoleista. Priming effect ilmiötä tutkittiin eri ikäisissä ja kypsyydeltään erilaisissa komposteissa. Kompostit erosvat toisistaan myös hajoamattoman jätteen määrän ja mikrobipopulaation suhteen. Negatiivinen priming effect havaittiin kaikissa epästabiileissa komposteissa (ikä enintään 6 kk), ja sen lisäksi yhdessä näistä komposteista positiivinen priming effect kokeen lopussa. Stabiileissa komposteissa (ikä vähintään 6 kk) ilmiötä ei sen sijaan havaittu. Epästabiileissa komposteissa biohajoavuudelle saadut tulokset eivät siis ole luotettavia. Työn tulosten perusteella valkolahosienet, ja erityisesti T. versicolor, ovat lupaavia saastuneen maan puhdistukseen, joskin sienirihmaston mahdollisuudet säilyä aktiivisena maan alkuperäisen mikrobipopulaation kanssa täytyy vielä selvittää. Kompostin sekapopulaatio, joka ei sisällä valkolahosieniä, hajotti ligniiniä yllättävän tehokkaasti termofiilisille sienille sopivissa lämpötiloissa, vaikka ligniini sitoutuikin pääasiallisesti humukseen. Kompostin kypsyys osoittautui tärkeäksi tekijäksi kontrolloidun kompostitestin onnistumisen kannalta. Priming effect ilmiön välttämiseksi on varmistettava, että testissä käytetty komposti on riittävän kypsä. Kompostien mikrobipopulaation koostumusta kompostoinnin eri vaiheissa tulisi tarkemmin selvittää, koska stabiilien ja epästabiilien kompostien ero aiheutui todennäköisesti populaatioiden rakenteessa vallitsevista eroista. Näin myös priming effect ilmiön syyt voitaisiin selittää paremmin.

Integral Transformations of Volterra Gaussian Processes

We study integral representations of Gaussian processes with a pre-specified law in terms of other Gaussian processes. The dissertation consists of an introduction and of four research articles. In the introduction, we provide an overview about Volterra Gaussian processes in general, and fractional Brownian motion in particular. In the first article, we derive a finite interval integral transformation, which changes fractional Brownian motion with a given Hurst index into fractional Brownian motion with an other Hurst index. Based on this transformation, we construct a prelimit which formally converges to an analogous, infinite interval integral transformation. In the second article, we prove this convergence rigorously and show that the infinite interval transformation is a direct consequence of the finite interval transformation. In the third article, we consider general Volterra Gaussian processes. We derive measure-preserving transformations of these processes and their inherently related bridges. Also, as a related result, we obtain a Fourier-Laguerre series expansion for the first Wiener chaos of a Gaussian martingale. In the fourth article, we derive a class of ergodic transformations of self-similar Volterra Gaussian processes.

Mathematical models on the impact of noise and dyadic molecular structures on the properties of a cardiac myocyte

In cardiac myocytes (heart muscle cells), coupling of electric signal known as the action potential to contraction of the heart depends crucially on calcium-induced calcium release (CICR) in a microdomain known as the dyad. During CICR, the peak number of free calcium ions (Ca) present in the dyad is small, typically estimated to be within range 1-100. Since the free Ca ions mediate CICR, noise in Ca signaling due to the small number of free calcium ions influences Excitation-Contraction (EC) coupling gain. Noise in Ca signaling is only one noise type influencing cardiac myocytes, e.g., ion channels playing a central role in action potential propagation are stochastic machines, each of which gates more or less randomly, which produces gating noise present in membrane currents. How various noise sources influence macroscopic properties of a myocyte, how noise is attenuated and taken advantage of are largely open questions. In this thesis, the impact of noise on CICR, EC coupling and, more generally, macroscopic properties of a cardiac myocyte is investigated at multiple levels of detail using mathematical models. Complementarily to the investigation of the impact of noise on CICR, computationally-efficient yet spatially-detailed models of CICR are developed. The results of this thesis show that (1) gating noise due to the high-activity mode of L-type calcium channels playing a major role in CICR may induce early after-depolarizations associated with polymorphic tachycardia, which is a frequent precursor to sudden cardiac death in heart failure patients; (2) an increased level of voltage noise typically increases action potential duration and it skews distribution of action potential durations toward long durations in cardiac myocytes; and that (3) while a small number of Ca ions mediate CICR, Excitation-Contraction coupling is robust against this noise source, partly due to the shape of ryanodine receptor protein structures present in the cardiac dyad.

Holistic Spirituality in the Thinking of Ellen White

Spiritualiteetti viittaa syvälliseen, inhimilliseen ulottuvuuteen ja ominaisuuteen, jonka tarkka määritteleminen on haasteellista, ellei mahdotonta. Sitä vastaa yhtäältä uskonnollisuuden kautta toteutuva, elämän tarkoitukseen ja syvemmän olemuksen etsintään liittyvä hengellisyys, mutta toisaalta myös kaikkea muuta hengen viljelyä ja mielekkään olemisen tavoittelua tarkoittava henkisyys. John Swintonin mukaan hengen ulottuvuus on se inhimilliseen olemukseen kuuluva, dynaaminen elinvoima, joka virkistää ja elävöittää ihmistä ja motivoi häntä etsimään Jumalaa, arvoja, merkitystä, tarkoitusta ja toivoa. Tämä tutkimus nostaa tarkastelun kohteeksi kokonaisvaltaisen hengellisyyden, jolloin huomio kiinnitetään niihin sidoksiin, joiden kautta hengen ulottuvuus liittyy muihin inhimillisen elämän olennaisiin toimintoihin ja näkökulmiin. Tällaisia ovat 1) ajattelu 2) teot ja käytännön toiminta 3) suhteet ja vuorovaikutusverkostot 4) tunteet ja kanssakäymistä ohjaavat asenteet 5) olemassaolon ja olemisen ulottuvuudet. Kokemusten merkitys, arvo ja mielekkyys hahmottuvat juuri hengen alueella, toisin sanoen sisäisesti, hengellisenä ja henkisenä asiana. Tutkimusmateriaalina tässä tutkimuksessa on amerikkalaisen vuosina 1827 1915 eläneen Ellen Whiten kuusi myöhäiskauden teosta vuosilta 1892 1905 ja tutkimusmenetelmänä on käytetty systemaattista analyysiä. Olennaista Whiten tavassa käsitellä uskonnon harjoitukseen liittyviä aiheita on hänen käytännöllinen ja elämän arkeen kiinteästi niveltyvä otteensa. Tutkimus paljastaa, että Martti Lutherin käsitykset ovat merkittävästi vaikuttaneet Whiten ajatteluun. Lähteistä paljastuu samankaltaisuutta hänen näkemystensä ja uusimman suomalaisen Luther-tutkimuksen Martti Lutherin tuotannosta esiin nostaman ajattelutavan välillä. Vaikka teologisen oppineisuuden kannalta White ja Luther ovat eri tasoilla, kummankin käsitys ihmisen ja Jumalan välisen suhteen perusolemuksesta on samankaltainen: Lähtökohtana sille on Jumalan rakkaus ja hänen armostaan lähtenyt toiminta. Toiseksi, ihmisen ja Kristuksen välinen, olemuksellinen yhteys, unio , on perustana sille, että Jumala hyväksyy ihmisen ja huolehtii hänestä nyt ja ikuisesti. Kolmanneksi, tämä ihmisen ja Kristuksen liittoutuminen ja yhdistyminen ilmenee yhteistoimintana ja kumppanuutena yhteisten tavoitteiden saavuttamiseksi maailmassa. White korostaa ihmisen ja Kristuksen välisen hengellisen suhteen vuorovaikutteista ja toiminnallista luonnetta, joka tulee ilmi epäitsekkyytenä, toisten ihmisten ja heidän tarpeittensa huomioimisena sekä myötätuntona ja kykynä asettua toisen asemaan. Terveellistä elämäntapaa ja kasvatusta koskevat ajatuksensa White liittää siihen laaja-alaiseen näkemykseen hengellisyydestä, jonka tavoitteena on ihmisen kokonaisvaltainen hyvinvointi. Hän ei näe spiritualiteettia elämän arjesta irrallisena tai erillisenä saarekkeena, vaan ihmistä kaikessa ohjaavana, voimaannuttavana ja mielekkyyttä tuottavana, ensisijaisena ulottuvuutena. Tutkimuksen kuluessa myös Whiten usein käyttämät Jumalalle antautumisen ja luonteen käsitteet nousevat tarkastelun kohteiksi. Hänen mukaansa ihminen ei tahdonponnistuksillaan yksin pysty tavoittamaan Jumalaa vaan hänen on lakattava Jumalan rakastavan kutsun edessä itse tahtomasta ja suostuttava liittymään Jumalan tahtoon ja tarkoitukseen. Tämä liittyy siihen sisäiseen muutokseen, jota White kuvaa luonteen käsitteen avulla. Jumalan armon vaikuttama tahdon uudelleen suuntaaminen muuttaa ihmisen olemusta, arvoja, asennoitumisen tapaa ja myötätuntoisen vuorovaikutuksen kykyä niin ettei ihminen ole enää aivan sama kuin ennen. Kysymys on toisaalta yhtäkkisestä ja kertakaikkisesta olemuksellisesta muuttumisesta, mutta samalla myös hiljaisesta, elämänmittaisesta kasvusta ja kypsymisestä. Juuri luonteen käsitteen avulla White kuvaa hengellisyyttä ja siihen kuuluvaa sisästä matkaa. Tässä tutkimuksessa spiritualiteettia lähestytään yleisinhimillisenä piirteenä ja ominaisuutena, jolloin huomio ei ole ensisijaisesti yksittäisissä opillisissa käsityksissä tai uskonnollisuuden harjoittamisen muodoissa. Tarkoituksena on luoda kokoava rakenne, jonka puitteissa holistinen spiritualiteetti voidaan selkeämmin hahmottaa ja yksilöidymmin ymmärtää.

Non-Gaussian Cosmological Perturbations from Hybrid Inflation and Preheating

This thesis consists of four research papers and an introduction providing some background. The structure in the universe is generally considered to originate from quantum fluctuations in the very early universe. The standard lore of cosmology states that the primordial perturbations are almost scale-invariant, adiabatic, and Gaussian. A snapshot of the structure from the time when the universe became transparent can be seen in the cosmic microwave background (CMB). For a long time mainly the power spectrum of the CMB temperature fluctuations has been used to obtain observational constraints, especially on deviations from scale-invariance and pure adiabacity. Non-Gaussian perturbations provide a novel and very promising way to test theoretical predictions. They probe beyond the power spectrum, or two point correlator, since non-Gaussianity involves higher order statistics. The thesis concentrates on the non-Gaussian perturbations arising in several situations involving two scalar fields, namely, hybrid inflation and various forms of preheating. First we go through some basic concepts -- such as the cosmological inflation, reheating and preheating, and the role of scalar fields during inflation -- which are necessary for the understanding of the research papers. We also review the standard linear cosmological perturbation theory. The second order perturbation theory formalism for two scalar fields is developed. We explain what is meant by non-Gaussian perturbations, and discuss some difficulties in parametrisation and observation. In particular, we concentrate on the nonlinearity parameter. The prospects of observing non-Gaussianity are briefly discussed. We apply the formalism and calculate the evolution of the second order curvature perturbation during hybrid inflation. We estimate the amount of non-Gaussianity in the model and find that there is a possibility for an observational effect. The non-Gaussianity arising in preheating is also studied. We find that the level produced by the simplest model of instant preheating is insignificant, whereas standard preheating with parametric resonance as well as tachyonic preheating are prone to easily saturate and even exceed the observational limits. We also mention other approaches to the study of primordial non-Gaussianities, which differ from the perturbation theory method chosen in the thesis work.

Residual noise covariance for Planck low-resolution data analysis

Aims: Develop and validate tools to estimate residual noise covariance in Planck frequency maps. Quantify signal error effects and compare different techniques to produce low-resolution maps. Methods: We derive analytical estimates of covariance of the residual noise contained in low-resolution maps produced using a number of map-making approaches. We test these analytical predictions using Monte Carlo simulations and their impact on angular power spectrum estimation. We use simulations to quantify the level of signal errors incurred in different resolution downgrading schemes considered in this work. Results: We find an excellent agreement between the optimal residual noise covariance matrices and Monte Carlo noise maps. For destriping map-makers, the extent of agreement is dictated by the knee frequency of the correlated noise component and the chosen baseline offset length. The significance of signal striping is shown to be insignificant when properly dealt with. In map resolution downgrading, we find that a carefully selected window function is required to reduce aliasing to the sub-percent level at multipoles, ell > 2Nside, where Nside is the HEALPix resolution parameter. We show that sufficient characterization of the residual noise is unavoidable if one is to draw reliable contraints on large scale anisotropy. Conclusions: We have described how to compute the low-resolution maps, with a controlled sky signal level, and a reliable estimate of covariance of the residual noise. We have also presented a method to smooth the residual noise covariance matrices to describe the noise correlations in smoothed, bandwidth limited maps.