48 resultados para Central Limit Theorem

em Helda - Digital Repository of University of Helsinki


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Modern sample surveys started to spread after statistician at the U.S. Bureau of the Census in the 1940s had developed a sampling design for the Current Population Survey (CPS). A significant factor was also that digital computers became available for statisticians. In the beginning of 1950s, the theory was documented in textbooks on survey sampling. This thesis is about the development of the statistical inference for sample surveys. For the first time the idea of statistical inference was enunciated by a French scientist, P. S. Laplace. In 1781, he published a plan for a partial investigation in which he determined the sample size needed to reach the desired accuracy in estimation. The plan was based on Laplace s Principle of Inverse Probability and on his derivation of the Central Limit Theorem. They were published in a memoir in 1774 which is one of the origins of statistical inference. Laplace s inference model was based on Bernoulli trials and binominal probabilities. He assumed that populations were changing constantly. It was depicted by assuming a priori distributions for parameters. Laplace s inference model dominated statistical thinking for a century. Sample selection in Laplace s investigations was purposive. In 1894 in the International Statistical Institute meeting, Norwegian Anders Kiaer presented the idea of the Representative Method to draw samples. Its idea was that the sample would be a miniature of the population. It is still prevailing. The virtues of random sampling were known but practical problems of sample selection and data collection hindered its use. Arhtur Bowley realized the potentials of Kiaer s method and in the beginning of the 20th century carried out several surveys in the UK. He also developed the theory of statistical inference for finite populations. It was based on Laplace s inference model. R. A. Fisher contributions in the 1920 s constitute a watershed in the statistical science He revolutionized the theory of statistics. In addition, he introduced a new statistical inference model which is still the prevailing paradigm. The essential idea is to draw repeatedly samples from the same population and the assumption that population parameters are constants. Fisher s theory did not include a priori probabilities. Jerzy Neyman adopted Fisher s inference model and applied it to finite populations with the difference that Neyman s inference model does not include any assumptions of the distributions of the study variables. Applying Fisher s fiducial argument he developed the theory for confidence intervals. Neyman s last contribution to survey sampling presented a theory for double sampling. This gave the central idea for statisticians at the U.S. Census Bureau to develop the complex survey design for the CPS. Important criterion was to have a method in which the costs of data collection were acceptable, and which provided approximately equal interviewer workloads, besides sufficient accuracy in estimation.

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In this dissertation, I present an overall methodological framework for studying linguistic alternations, focusing specifically on lexical variation in denoting a single meaning, that is, synonymy. As the practical example, I employ the synonymous set of the four most common Finnish verbs denoting THINK, namely ajatella, miettiä, pohtia and harkita ‘think, reflect, ponder, consider’. As a continuation to previous work, I describe in considerable detail the extension of statistical methods from dichotomous linguistic settings (e.g., Gries 2003; Bresnan et al. 2007) to polytomous ones, that is, concerning more than two possible alternative outcomes. The applied statistical methods are arranged into a succession of stages with increasing complexity, proceeding from univariate via bivariate to multivariate techniques in the end. As the central multivariate method, I argue for the use of polytomous logistic regression and demonstrate its practical implementation to the studied phenomenon, thus extending the work by Bresnan et al. (2007), who applied simple (binary) logistic regression to a dichotomous structural alternation in English. The results of the various statistical analyses confirm that a wide range of contextual features across different categories are indeed associated with the use and selection of the selected think lexemes; however, a substantial part of these features are not exemplified in current Finnish lexicographical descriptions. The multivariate analysis results indicate that the semantic classifications of syntactic argument types are on the average the most distinctive feature category, followed by overall semantic characterizations of the verb chains, and then syntactic argument types alone, with morphological features pertaining to the verb chain and extra-linguistic features relegated to the last position. In terms of overall performance of the multivariate analysis and modeling, the prediction accuracy seems to reach a ceiling at a Recall rate of roughly two-thirds of the sentences in the research corpus. The analysis of these results suggests a limit to what can be explained and determined within the immediate sentential context and applying the conventional descriptive and analytical apparatus based on currently available linguistic theories and models. The results also support Bresnan’s (2007) and others’ (e.g., Bod et al. 2003) probabilistic view of the relationship between linguistic usage and the underlying linguistic system, in which only a minority of linguistic choices are categorical, given the known context – represented as a feature cluster – that can be analytically grasped and identified. Instead, most contexts exhibit degrees of variation as to their outcomes, resulting in proportionate choices over longer stretches of usage in texts or speech.

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This study investigates the significance of art in Jean-Luc Nancy s philosophy. I argue that the notion of art contributes to some of Nancy s central ontological ideas. Therefore, I consider art s importance in its own right whether art does have ontological significance, and if so, how one should describe this with respect to the theme of presentation. According to my central argument, with his thinking on art Nancy attempts to give one viewpoint to what is called the metaphysics of presence and to its deconstruction. On which grounds, as I propose, may one say that art is not reducible to philosophy? The thesis is divided into two main parts. The first part, Presentation as a Philosophical Theme, is a historical genesis of the central concepts associated with the birth of presentation in Nancy s philosophy. I examine this from the viewpoint of the differentiation between the ontological notions of presentation and representation by concentrating on the influence of Martin Heidegger and Jacques Derrida, as well as of Hegel and Kant. I give an overview of the way in which being or sense for Nancy is to be described as a coming-into-presence or presentation . Therefore, being takes place in its singular plurality. I argue that Nancy redevelops Heidegger s account of being in two principal ways: first, in rethinking the ontico-ontological difference, and secondly, by striving to radicalize the Heideggerian concept of Mitsein, being-with . I equally wish to show the importance of Derrida s notion of différance and its inherence in Nancy s questioning of being that rests on the unfoundedness of existence. The second part, From Ontology to Art, draws on the importance of art and the aesthetic. If, in Nancy, the question of art touches upon its own limit as the limit of nothingness, how is art able to open its own strangeness and our exposure to this strangeness? My aim is to investigate how Nancy s thinking on art finds its place within the conceptual realm of its inherent difference and interval. My central concern is the thought of originary ungroundedness and the plurality of art and of the arts. As for the question of the difference between art and philosophy, I wish to show that what differentiates art from thought is the fact that art exposes what is obvious but not apparent, if apparent is understood in the sense of givenness. As for art s ability to deconstruct Nancy s ontological notions, I suggest that in question in art is its original heterogeneity and diversity. Art is a matter of differing art occurs singularly, as a local difference. With this in mind, I point out that in reflecting on art in terms of spacing and interval, as a thinker of difference Nancy comes closer to Derrida and his idea of différance than to the structure of Heidegger s ontological difference.

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Books Paths to Readers describes the history of the origins and consolidation of modern and open book stores in Finland 1740 1860. The thesis approaches the book trade as a part of a print culture. Instead of literary studies choice to concentrate on texts and writers, book history seeks to describe the print culture of a society and how the literary activities and societies interconnect. For book historians, printed works are creations of various individuals and groups: writers, printers, editors, book sellers, censors, critics and finally, readers. They all take part in the creation, delivery and interpretation of printed works. The study reveals the ways selling and distributing books have influenced the printed works and the literary and print culture. The research period 1740 1860 covers the so-called second revolution of the book, or the modernisation of the print culture. The thesis describes the history of 60 book stores and their 96 owners. The study concentrates on three themes: firstly, how the particular book trade network became a central institution for printed works distribution, secondly what were the relations between cosmopolitan European book markets and the national cultural sphere, and thirdly how book stores functioned as cultural institutions and business enterprises. Book stores that have a varied assortment and are targeted to all readers became the main institution for book trade in Finland during 1740 1860. It happened because of three features. First, the book binders monopoly on selling bound copies in Sweden was abolished in 1740s. As a consequence entrepreneurs could concentrate solely to trade activities and offer copies from various publishers at their stores. Secondly the common business model of bartering was replaced by selling copies for cash, first in the German book trade centre Leipzig in 1770s. The change intensified book markets activities and Finnish book stores foreign connections. Thirdly, after Finland was annexed to the Russian empire in 1809, the Grand duchy s administration steered foreign book trade to book stores (because of censorship demands). Up to 1830 s book stores were available only in Helsinki and Turku. During next ten years book stores opened in six regional centres. The early entrepreneurs ran usually vertical businesses consisting of printing, publishing and distribution activities. This strategy lowered costs, eased the delivery of printed works and helped to create elaborated centres for all book activities. These book stores main clientele consisted of the Swedish speaking gentry. During late 1840s various opinion leaders called for the development of a national Finnish print culture, and also book stores. As a result, during the five years before the beginning of the Crimean war (1853 1856) book stores were opened in almost all Finnish towns: at the beginning of the war 36 book stores operated in 21 towns. The later book sellers, mainly functioning in small towns among Finnish speaking people, settled usually strictly for selling activities. Book stores received most of their revenues from selling foreign titles. Swedish, German, French and Belgian (pirate editions of popular French novels) books were widely available for the multilingual gentry. Foreign titles and copies brought in most of the revenues. Censorship inspections or unfavourable custom fees would not limit the imports. Even if the local Finnish print production steadily rose, many copies, even titles, were never delivered via book stores. Only during the 1840 s and 1850 s the most advanced publishers would concentrate on creating publishing programmes and delivering their titles via book stores. Book sellers regulated commissions were small. They got even smaller because of large amounts of unsold copies, various and usual misunderstandings of consignments and accounts or plain accidents that destroyed shipments and warehouses. Also, the cultural aim of a creating large and assortments and the tendency of short selling periods demanded professional entrepreneurship, which many small town book sellers however lacked. In the midst of troublesome business efforts, co-operation and mutual concern of the book market s entrepreneurs were the key elements of the trade, although on local level book sellers would compete, sometimes even ferociously. The difficult circumstances (new censorship decree of 1850, Crimean war) and lack of entrepreneurship, experience and customers meant that half of the book stores opened in 1845 1860 was shut in less than five years. In 1858 the few leading publishers established The Finnish Book Publishers Association. Its first task was to create new business rules and manners for the book trade. The association s activities began to professionalise the whole network, but at the same time the earlier independence of regional publishing and selling enterprises diminished greatly. The consolidation of modern and open book store network in Finland is a history of a slow and complex development without clear signs of a beginning or an end. The ideal book store model was rarely accomplished in its all features. Nevertheless, book stores became the norm of the book trade. They managed to offer larger selections, reached larger clienteles and maintained constant activity better than any other book distribution model. In essential, the book stores methods have not changed up to present times.

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The historical development of Finnish nursing textbooks from the late 1880s to 1967: the training of nurses in the Foucauldian perspective. This study aims, first, to analyse the historical development of Finnish nursing textbooks in the training of nurses and in nursing education: what Foucauldian power processes operate in the writing and publishing processes? What picture of nursing did early nursing books portray and who were the decision makers? Second, this study also aims to analyse the processes of power in nurse training processes. The time frame extends from the early stages of nurse training in the late 1880s to 1967. This present study is a part of textbook research and of the history of professional education in Finland. This study seeks to explain how, who or what contributed the power processes involved in the writing of nursing textbooks and through textbooks. Did someone use these books as a tool to influence nursing education? The third aim of this study is to define and analyse the purpose of nurse training. Michel Foucault´s concept of power served as an explanatory framework for this study. A very central part of power is the assembling of data, the supplying of information and messages, and the creation of discourses. When applied to the training of nurses, power dictates what information is taught in the training and contained in the books. Thus, the textbook holds an influential position as a power user in these processes. Other processes in which such power is exercised include school discipline and all other normalizing processes. One of most powerful ways of adapting is the hall of residence, where nursing pupils were required to live. Trained nurses desired to separate themselves from their untrained predecessors and from those with less training by wearing different uniforms and living in separate housing units. The state supported the registration of trained nurses by legislation. With this decision the state made it illegal to work as a nurse without an authorised education, and use these regulations to limit and confirm the professional knowledge and power of nurses. Nurses, physicians and government authorities used textbooks in nursing education as tools to achieve their own purposes and principles. With these books all three groups attempted to confirm their own professional power and knowledge while at the same time limit the power and expertise of others. Public authorities sought to unify the training of nurses and the basis of knowledge in all nursing schools in Finland with similar and obligatory textbooks. This standardisation started 20 years before the government unified nursing training in 1930. The textbooks also served as data assemblers in unifying nursing practices in Finnish hospitals, because the Medical Board required all training hospitals to attach the textbooks to units with nursing pupils. For the nurses, and especially for the associations of Finnish nurses, making and publishing their own textbooks for the training of nurses was a part of their professional projects. With these textbooks, the nursing elite and the teachers tended to prepare nursing pupils’ identities for nursing’s very special mission. From the 1960s, nursing was no longer understood as a mission, but as a normal vocation. Nurses and doctors disputed this view throughout the period studied, which was the optimal relationship between theory and practice in nursing textbooks and in nurse education. The discussion of medical knowledge in nursing textbooks took place in the 1930s and 1940s. Nurses were very confused about their own professional knowledge and expertise, which explains why they could not create a new nursing textbook despite the urgency. A brand new nursing textbook was published in 1967, about 30 years after the predecessor. Keyword: nurse, nurse training, nursing education, power, textbook, Michel Foucault

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Human central nervous system (CNS) tumors are a heterogeneous group of tumors occurring in brain, brainstem and spinal cord. Malignant gliomas (astrocytic and oligodendroglial tumors), which arise from the neuroepithelial cells are the most common CNS neoplasms in human. Malignant gliomas are highly aggressive and invasive tumors, and have a very poor prognosis. The development and progression of gliomas involve a stepwise accumulation of genetic alterations that generally affect either signal transduction pathways activated by receptor tyrosine kinases (RTKs), or cell cycle arrest pathways. Constitutive activation or deregulated signaling by RTKs is caused by gene amplification, overexpression or mutations. The aberrant RTK signaling results in turn in the activation of several downstream pathways, which ultimately lead to malignant transformation and tumor proliferation. Many genetic abnormalities implicated in nervous system tumors involve the genes located at the chromosomal region 4q12. This locus harbors the receptor tyrosine kinases KIT, PDGFRA and VEGFR2, and other genes (REST, LNX1) with neural function. Gene amplification and protein expression of KIT, PDGFRA, and VEGFR2 was studied using clinical tumor material. REST and LNX1, as well as NUMBL, the interaction partner of LNX1, were studied for their gene mutations and amplifications. In our studies, amplification of LNX1 was associated with KIT and PDGFRA amplification in glioblastomas, and coamplification of KIT, PDGFRA and VEGFR2 was detected in medulloblastomas and CNS primitive neuroectodermal tumors. PDGFRA amplification was also correlated with poor overall survival. Coamplification of KIT, PDGFRA and VEGFR2 was observed in a subset of human astrocytic and oligodendroglial tumors. We suggest that genes at 4q12 could be a part of a larger amplified region, which is deregulated in gliomas, and could be used as a prognostic marker of tumorigenic process. The signaling pathways activated due to gene amplifications, activating gene mutations, and overexpressed proteins may be useful as therapeutic targets for glioma treatment. This study also includes the characterization of KIT overexpressing astrocytes, analyzed by various in vitro functional assays. Our results show that overexpression of KIT in mouse astrocytes promotes cell proliferation and anchorage-independent growth, as well as phenotypic changes in the cells. Furthermore, the increased proliferation is partly inhibited by imatinib, a small molecule inhibitor of KIT. These results suggest that KIT may play a role in astrocyte growth regulation, and might have an oncogenic role in brain tumorigenesis. Elucidation of the altered signaling pathways due to specific gene amplifications, activating gene mutations, and overexpressed proteins may be useful as therapeutic targets for glioma treatment.

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The efforts of combining quantum theory with general relativity have been great and marked by several successes. One field where progress has lately been made is the study of noncommutative quantum field theories that arise as a low energy limit in certain string theories. The idea of noncommutativity comes naturally when combining these two extremes and has profound implications on results widely accepted in traditional, commutative, theories. In this work I review the status of one of the most important connections in physics, the spin-statistics relation. The relation is deeply ingrained in our reality in that it gives us the structure for the periodic table and is of crucial importance for the stability of all matter. The dramatic effects of noncommutativity of space-time coordinates, mainly the loss of Lorentz invariance, call the spin-statistics relation into question. The spin-statistics theorem is first presented in its traditional setting, giving a clarifying proof starting from minimal requirements. Next the notion of noncommutativity is introduced and its implications studied. The discussion is essentially based on twisted Poincaré symmetry, the space-time symmetry of noncommutative quantum field theory. The controversial issue of microcausality in noncommutative quantum field theory is settled by showing for the first time that the light wedge microcausality condition is compatible with the twisted Poincaré symmetry. The spin-statistics relation is considered both from the point of view of braided statistics, and in the traditional Lagrangian formulation of Pauli, with the conclusion that Pauli's age-old theorem stands even this test so dramatic for the whole structure of space-time.

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The topic of this dissertation lies in the intersection of harmonic analysis and fractal geometry. We particulary consider singular integrals in Euclidean spaces with respect to general measures, and we study how the geometric structure of the measures affects certain analytic properties of the operators. The thesis consists of three research articles and an overview. In the first article we construct singular integral operators on lower dimensional Sierpinski gaskets associated with homogeneous Calderón-Zygmund kernels. While these operators are bounded their principal values fail to exist almost everywhere. Conformal iterated function systems generate a broad range of fractal sets. In the second article we prove that many of these limit sets are porous in a very strong sense, by showing that they contain holes spread in every direction. In the following we connect these results with singular integrals. We exploit the fractal structure of these limit sets, in order to establish that singular integrals associated with very general kernels converge weakly. Boundedness questions consist a central topic of investigation in the theory of singular integrals. In the third article we study singular integrals of different measures. We prove a very general boundedness result in the case where the two underlying measures are separated by a Lipshitz graph. As a consequence we show that a certain weak convergence holds for a large class of singular integrals.

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Planar curves arise naturally as interfaces between two regions of the plane. An important part of statistical physics is the study of lattice models. This thesis is about the interfaces of 2D lattice models. The scaling limit is an infinite system limit which is taken by letting the lattice mesh decrease to zero. At criticality, the scaling limit of an interface is one of the SLE curves (Schramm-Loewner evolution), introduced by Oded Schramm. This family of random curves is parametrized by a real variable, which determines the universality class of the model. The first and the second paper of this thesis study properties of SLEs. They contain two different methods to study the whole SLE curve, which is, in fact, the most interesting object from the statistical physics point of view. These methods are applied to study two symmetries of SLE: reversibility and duality. The first paper uses an algebraic method and a representation of the Virasoro algebra to find common martingales to different processes, and that way, to confirm the symmetries for polynomial expected values of natural SLE data. In the second paper, a recursion is obtained for the same kind of expected values. The recursion is based on stationarity of the law of the whole SLE curve under a SLE induced flow. The third paper deals with one of the most central questions of the field and provides a framework of estimates for describing 2D scaling limits by SLE curves. In particular, it is shown that a weak estimate on the probability of an annulus crossing implies that a random curve arising from a statistical physics model will have scaling limits and those will be well-described by Loewner evolutions with random driving forces.

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The main objective of the study is to evaluate the Finnish central government s foreign borrowing between the years 1862 and 1938. Most of this period was characterised by deep capital market integration that bears resemblance to the liberal world financial order at the turn of the millennium. The main aim is to analyse the credit risk associated with the state and its determination by evaluating the world financial market centres perception of Finland. By doing this, the study is also expected to provide an additional dimension to Finland s political and economic history by incorporating into the research the assessments of international capital markets regarding Finland during a period that witnessed profound political and economic changes in Finnish society. The evaluation of the credit risk mainly relies on exchange-rate risk free time series of the state s foreign bonds. They have been collected from quotations in the stock exchanges in Helsinki, Hamburg, Paris and London. In addition, it investigates Finland s exposure to short-term debt and Moody s credit ratings assigned to Finland. The study emphasises the importance of the political risk. It suggests that the hey-day of the state s reliance on foreign capital markets took place during last few decades of the 19th century when Finland enjoyed a wide autonomy in the Russian Empire and prudently managed its economy, highlighted in Finland s adherence to the international gold standard. Political confrontations in Finland and, in particular, in Russia and the turbulence of the world financial system prevented the return of this beneficial position again. Through its issuance of foreign bonds the state was able to import substantial amounts of foreign capital, which was sorely needed to foster economic development in Finland. Moreover, the study argues that the state s presence in the western capital markets not only had economic benefits, but it also increased the international awareness of Finland s distinct and separate status in the Russian Empire and later underlined its position as an independent republic.