Causal Models of Clinically Significant Behaviors in Angelman, Cornelia de Lange, Prader-Willi and Smith-Magenis Syndromes

The operant learning theory account of behaviors of clinical significance in people with intellectual disability (ID) has dominated the field for nearly 50 years. However, in the last two decades, there has been a substantial increase in published research that describes the behavioral phenotypes of genetic disorders and shows that behaviors such as self-injury and aggression are more common in some syndromes than might be expected given group characteristics. These cross-syndrome differences in prevalence warrant explanation, not least because this observation challenges an exclusively operant learning theory account. To explore this possible conflict between theoretical account and empirical observation, we describe the genetic cause and physical, social, cognitive and behavioral phenotypes of four disorders associated with ID (Angleman, Cornelia de Lange, Prader-Willi and Smith-Magenis syndromes) and focus on the behaviors of clinical significance in each syndrome. For each syndrome we then describe a model of the interactions between physical characteristics, cognitive and motivational endophenotypes and environmental factors (including operant reinforcement) to account for the resultant behavioral phenotype. In each syndrome it is possible to identify pathways from gene to physical phenotype to cognitive or motivational endophenotype to behavior to environment and back to behavior. We identify the implications of these models for responsive and early intervention and the challenges for research in this area. We identify a pressing need for meaningful dialog between different disciplines to construct better informed models that can incorporate all relevant and robust empirical evidence.

A review of radio channel models for body centric communications

The human body is an extremely challenging environment for the operation of wireless communications systems, not least because of the complex antenna-body electromagnetic interaction effects which can occur. This is further compounded by the impact of movement and the propagation characteristics of the local environment which all have an effect upon body centric communications channels. As the successful design of body area networks (BANs) and other types of body centric system is inextricably linked to a thorough understanding of these factors, the aim of this paper is to conduct a survey of the current state of the art in relation to propagation and channel models primarily for BANs but also considering other types of body centric communications. We initially discuss some of the standardization efforts performed by the Institute of Electrical and Electronics Engineers 802.15.6 task group before focusing on the two most popular types of technologies currently being considered for BANs, namely narrowband and Ultrawideband (UWB) communications. For narrowband communications the applicability of a generic path loss model is contended, before presenting some of the scenario specific models which have proven successful. The impacts of human body shadowing and small-scale fading are also presented alongside some of the most recent research into the Doppler and time dependencies of BANs. For UWB BAN communications, we again consider the path loss as well as empirical tap delay line models developed from a number of extensive channel measurement campaigns conducted by research institutions around the world. Ongoing efforts within collaborative projects such as Committee on Science and Technology Action IC1004 are also described. Finally, recent years have also seen significant developments in other areas of body centric communications such as off-body and body-to-body communications. We highlight some of the newest relevant research in these areas as well as discussing some of the advanced topics which are currently being addressed in the field of body centric communications. Key Points Channel models for body centric comms ©2014. The Authors.

On Cherry-Picking ... or Trying to Have One’s Cake and Eating It: past principles and practice in the pursuit of an alternative to [full] EU membership

With the United Kingdom’s continued membership of the EU being increasingly questioned and the Prime Minister, David Cameron, committed to 're-negotiate’ the terms of membership, consideration is being given to what forms alternatives to [full] membership may take. While much current discussion focuses on the advantages and disadvantages of particular existing arrangements (e.g. European Economic Area, Swiss bilateralism), this paper examines the broader principles and practices that have to date underpinned – and undermined – EU’s attempts to develop alternatives to [full] EU membership. Drawing on an analysis of the evolution of association as an alternative to membership, the paper assesses the principled, practical and political limitations the EU faces – and imposes on itself – in offering an acceptable balance of rights and obligations to states not wishing to assume the mantle of full membership. In its assessment the paper considers various proposed models of affiliate and associate membership. It also situates consideration of the UK case in the broader context of the EU’s relations with other European non-member states for which membership may not be achievable and for which alternatives to membership (e.g. a form of privileged partnership) have been proposed. In doing so, the paper reflects on the precedent-setting consequences of any arrangement that the EU might reach with any state re-negotiating membership or withdrawing.

A New Analysis of Mars "Special Regions": Findings of the Second MEPAG Special Regions Science Analysis Group (SR-SAG2)

A committee of the Mars Exploration Program Analysis Group (MEPAG) has reviewed and updated the description of Special Regions on Mars as places where terrestrial organisms might replicate (per the COSPAR Planetary Protection Policy). This review and update was conducted by an international team (SR-SAG2) drawn from both the biological science and Mars exploration communities, focused on understanding when and where Special Regions could occur. The study applied recently available data about martian environments and about terrestrial organisms, building on a previous analysis of Mars Special Regions (2006) undertaken by a similar team. Since then, a new body of highly relevant information has been generated from the Mars Reconnaissance Orbiter (launched in 2005) and Phoenix (2007) and data from Mars Express and the twin Mars Exploration Rovers (all 2003). Results have also been gleaned from the Mars Science Laboratory (launched in 2011). In addition to Mars data, there is a considerable body of new data regarding the known environmental limits to life on Earth—including the potential for terrestrial microbial life to survive and replicate under martian environmental conditions. The SR-SAG2 analysis has included an examination of new Mars models relevant to natural environmental variation in water activity and temperature; a review and reconsideration of the current parameters used to define Special Regions; and updated maps and descriptions of the martian environments recommended for treatment as “Uncertain” or “Special” as natural features or those potentially formed by the influence of future landed spacecraft. Significant changes in our knowledge of the capabilities of terrestrial organisms and the existence of possibly habitable martian environments have led to a new appreciation of where Mars Special Regions may be identified and protected. The SR-SAG also considered the impact of Special Regions on potential future human missions to Mars, both as locations of potential resources and as places that should not be inadvertently contaminated by human activity. Key Words: Martian environments—Mars astrobiology—Extreme environment microbiology—Planetary protection—Exploration resources. Astrobiology 14, 887–968.

Consensus on Outcome Measures for Glaucoma Effectiveness Trials: Results From a Delphi and Nominal Group Technique Approaches

PURPOSE: Comparing the relative effectiveness of interventions across glaucoma trials can be problematic due to differences in definitions of outcomes. We sought to identify a key set of clinical outcomes and reach consensus on how best to measure them from the perspective of glaucoma experts.

METHODS: A 2-round electronic Delphi survey was conducted. Round 1 involved 25 items identified from a systematic review. Round 2 was developed based on information gathered in round 1. A 10-point Likert scale was used to quantify importance and consensus of outcomes (7 outcomes) and ways of measuring them (44 measures). Experts were identified through 2 glaucoma societies membership-the UK and Eire Glaucoma Society and the European Glaucoma Society. A Nominal Group Technique (NGT) followed the Delphi process. Results were analyzed using descriptive statistics.

RESULTS: A total of 65 participants completed round 1 out of 320; of whom 56 completed round 2 (86%). Agreement on the importance of outcomes was reached on 48/51 items (94%). Intraocular pressure (IOP), visual field (VF), safety, and anatomic outcomes were classified as highly important. Regarding methods of measurement of IOP, "mean follow-up IOP" using Goldmann applanation tonometry achieved the highest importance, whereas for evaluating VFs "global index mean deviation/defect (MD)" and "rate of VF progression" were the most important. Retinal nerve fiber layer (RNFL) thickness measured by optical coherence tomography (OCT) was identified as highly important. The NGT results reached consensus on "change of IOP (mean of 3 consecutive measurements taken at fixed time of day) from baseline," change of VF-MD values (3 reliable VFs at baseline and follow-up visit) from baseline, and change of RNFL thickness (2 good quality OCT images) from baseline.

CONCLUSIONS: Consensus was reached among glaucoma experts on how best to measure IOP, VF, and anatomic outcomes in glaucoma randomized controlled trials.

5.9-keV Mn K-shell X-ray luminosity from the decay of 55Fe in Type Ia supernova models

We show that the X-ray line flux of the Mn Kα line at 5.9 keV from the decay of 55Fe is a promising diagnostic to distinguish between Type Ia supernova (SN Ia) explosion models. Using radiation transport calculations, we compute the line flux for two three-dimensional explosion models: a near-Chandrasekhar mass delayed detonation and a violent merger of two (1.1 and 0.9 M⊙) white dwarfs. Both models are based on solar metallicity zero-age main-sequence progenitors. Due to explosive nuclear burning at higher density, the delayed-detonation model synthesizes ˜3.5 times more radioactive 55Fe than the merger model. As a result, we find that the peak Mn Kα line flux of the delayed-detonation model exceeds that of the merger model by a factor of ˜4.5. Since in both models the 5.9-keV X-ray flux peaks five to six years after the explosion, a single measurement of the X-ray line emission at this time can place a constraint on the explosion physics that is complementary to those derived from earlier phase optical spectra or light curves. We perform detector simulations of current and future X-ray telescopes to investigate the possibilities of detecting the X-ray line at 5.9 keV. Of the currently existing telescopes, XMM-Newton/pn is the best instrument for close (≲1-2 Mpc), non-background limited SNe Ia because of its large effective area. Due to its low instrumental background, Chandra/ACIS is currently the best choice for SNe Ia at distances above ˜2 Mpc. For the delayed-detonation scenario, a line detection is feasible with Chandra up to ˜3 Mpc for an exposure time of 106 s. We find that it should be possible with currently existing X-ray instruments (with exposure times ≲5 × 105 s) to detect both of our models at sufficiently high S/N to distinguish between them for hypothetical events within the Local Group. The prospects for detection will be better with future missions. For example, the proposed Athena/X-IFU instrument could detect our delayed-detonation model out to a distance of ˜5 Mpc. This would make it possible to study future events occurring during its operational life at distances comparable to those of the recent supernovae SN 2011fe (˜6.4 Mpc) and SN 2014J (˜3.5 Mpc).

Plume-lithosphere interaction at Santiago Island (Cape Verde) : implications for ocean island magma genesis models

Tese de doutoramento, Geologia (Geoquímica), Universidade de Lisboa, Faculdade de Ciências, 2014

The characteristics of social entrepreneurship business models in Portugal

This work project is based on the MIES (Map of Innovation and Social Entrepreneurship in Portugal) database and it aims to understand the characteristics of social business models in the context of the portuguese market, by determining whether they follow the proposed characteristics by John Elkington and Pamela Hartigan, and then adding to their matrix. Furthermore, it tries to determine success patterns by comparing a group of successful social ventures with a group of less successful ones, with the objective of increasing the knowledge of social entrepreneurship as it applies to Portugal and provide a framework for future study.

Predictors of prejudice perceptions and the role of group identification in international students

The purpose of the present study was first to determine what influences international students' perceptions of prejudice, and secondly to examine how perceptions of prejudice would affect international students' group identification. Variables such as stigma vulnerability and contact which have been previously linked with perceptions of prejudice and intergroup relations were re-examined (Berryman-Fink, 2006; Gilbert, 1998; Nesdale & Todd, 2000), while variables classically linked to prejudicial attitudes such as right-wing authoritarianism and openness to experience were explored in relation to perceptions of prejudice. Furthermore, the study examined how perceptions of prejudice might affect the students' identification choices, by testing two opposing models. The first model was based on the motivational nature of social identity theory (Tajfel & Turner, 1986) while the second model was based on the cognitive nature of self-categorization theory/ rejection-identification model (Turner, Hogg, Oakes, Reicher, & Wetherell, 1987; Schmitt, Spears, & Branscombe,2003). It was hypothesized that stigma vulnerability, right-wing authoritarianism, openness to experience and contact would predict both personal and group perceptions of prejudice. It was also hypothesized that perceptions of prejudice would predict group identification. If the self-categorizationlrejection-identification model was supported, international students would identify with the international students. If the social mobility strategy was supported, international students would identify with the university students group. Participants were 98 international students who filled out questionnaires on the Brock University Psychology Department Website. The first hypothesis was supported. The combination of stigma vulnerability, right-wing authoritarianism, openness to experience and contact predicted both personal and group prejudice perceptions of international students. Furthermore, the analyses supported the self-categorizationlrejectionidentification model. International identification was predicted by the combination of personal and group prejudice perceptions of international students.

Vitamin D status and latent tuberculosis infection : a preliminary study in a group of healthy Mexican agricultural workers

Vitamin D metabolites are important in the regulation of bone and calcium homeostasis, but also have a more ubiquitous role in the regulation of cell differentiation and immune function. Severely low circulating 25-dihydroxyvitamin D [25(OH)D] concentrations have been associated with the onset of active tuberculosis (TB) in immigrant populations, although the association with latent TB infection (LTBI) has not received much attention. A previous study identified the prevalence of LTBI among a sample of Mexican migrant workers enrolled in Canada's Seasonal Agricultural Workers Program (SA WP) in the Niagara Region of Ontario. The aim of the present study was to determine the vitamin D status of the same sample, and identify if a relationship existed with LTBI. Studies of vitamin D deficiency and active TB are most commonly carried out among immigrant populations to non-endemic regions, in which reactivation of LTBI has occurred. Currently, there is limited knowledge of the association between vitamin D deficiency and LTBI. Entry into Canada ensured that these individuals did not have active TB, and L TBI status was established previously by an interferon-gamma release assay (IGRA) (QuantiFERON-TB Gold In-Tube®, Cellestis Ltd., Australia). Awareness of vitamin D status may enable individuals at risk of deficiency to improve their nutritional health, and those with LTBI to be aware of this risk factor for disease. Prevalence of vitamin D insufficiency among the Mexican migrant workers was determined from serum samples collected in the summer of 2007 as part of the cross sectional LTBI study. Samples were measured for concentrations of the main circulating vitamin D metabolite, 25(OH)D, with a widely used 1251 250HD RIA (DiaSorin Inc.®, Stillwater, MN), and were categorized as deficient «37.5 nmoI/L), insufficient (>37.5 nmollL, < 80 nmol/L) or sufficient (2::80 nmoI/L). Fisher's exact tests and t tests were used to determine if vitamin D status (sufficiency or insufficiency) or 25(OH)D concentrations significantly differed by sex or age categories. Predictors of vitamin D insufficiency and 25(OH)D concentrations were taken from questionnaires carried out during the previous study, and analyzed in the present study using multiple regression prediction models. Fisher's exact test and t test was used to determine if vitamin D status or 25(OH)D concentration differed by LTBI status. Strength of the relationship between interferongamma (IFN-y) concentration (released by peripheral T cells in response to TB antigens) and 25(OH)D concentration was analyzed using a Spearman correlation. Out of 87 participants included in the study (78% male; mean age 38 years), 14 were identified as LTBI positive but none had any signs or symptoms of TB reactivation. Only 30% of the participants were vitamin D sufficient, whereas 68% were insufficient and 2% were deficient. Significant independent predictors of lower 25(OH)D concentrations were sex, number of years enrolled in the SA WP and length of stay in Canada. No significant differences were found between 25(OH)D concentrations and LTBI status. There was a significant moderate correlation between IFN-y and 25(OH)D concentrations ofLTBI-positive individuals. The majority of participants presented with Vitamin D insufficiency but none were severely deficient, indicating that 25(OH)D concentrations do not decrease dramatically in populations who temporarily reside in Canada but go back to their countries of origin during the Canadian winter. This study did not find a statistical relationship between low levels of vitamin D and LTBI which suggests that in the presence of overall good health, lower than ideal levels of 2S(OH)D, may still be exerting a protective immunological effect against LTBI reactivation. The challenge remains to determine a critical 2S(OH)D concentration at which reactivation is more likely to occur.

Exploring the impact of outgroup membership discoveries on individual outcomes and intergroup relations

Group memberships represent important components of identity, with people holding membership in various groups and categories. The groups that one belongs to are known as ingroups, and the groups that one does not belong to are known as outgroups. Movement between groups can occur, such that an individual becomes a member of a former outgroup. In some cases, this movement between groups can represent a sudden discovery for the self and/or others, especially when one becomes a member of an ambiguous, concealable, or otherwise not readily visible group. The effects of this type of movement, however, are poorly documented. The purpose of this dissertation is to investigate these outgroup membership discoveries, examining the individual intrapsychic, interpersonal, and potential intergroup effects of both self- and other-outgroup membership discoveries. Specifically, discoveries of homosexuality were examined in three studies. In Study 1, hypothetical reactions to self- and other-homosexuality discovery were assessed; in Study 2, the effects of discovering self-homosexuality (vs. self-heterosexuality) were experimentally examined; and in Study 3, the effects of discovering another’s homosexuality earlier relative to later in a developing friendship were experimentally examined. Study 1 revealed that, upon a discovery of self-homosexuality, participants expected negative emotions and a more negative change in feelings toward the self. Upon a discovery of a friend’s homosexuality, participants expected a more negative change in feelings toward the friend, but more a positive change in feelings toward homosexuals. For both hypothetical self- and friend- homosexuality discoveries, more negative expected emotions predicted more negative expected change in feelings toward the target individual (the self or friend), which in turn predicted more negative expected change in feelings toward homosexuals as a group. Further, for self-homosexuality discovery, the association between negative expected emotions and negative expected change in feelings toward the self was stronger among those higher in authoritarianism. Study 2 revealed that, upon discovering one’s own homosexuality (vs. heterosexuality), heterosexual participants experienced more negative emotions, more fear of discrimination, and more negative self-evaluations. The effect of the homosexuality discovery manipulation on negative self-evaluations was mediated by fear of discrimination. Further, those higher in authoritarianism or pre-test prejudice toward homosexuals demonstrated more negative emotions following the manipulation. Study 3 revealed that upon discovering an interaction partner’s homosexuality earlier (vs. later) participants reported a more positive contact experience, a closer bond with the partner, and more positive attitudes toward the partner. Earlier (vs. later) discovery predicted more positive contact experience, which in turn predicted a closer bond with the partner. Closer bond with the partner subsequently predicted more positive evaluations of the partner. Interestingly, the association between bond with partner and more positive attitudes toward the partner was stronger among those higher in authoritarianism or pre-test prejudice toward homosexuals. Overall, results suggest that self-homosexuality discovery results in negative outcomes, whereas discovering another’s homosexuality can result in positive outcomes, especially when homosexuality is discovered earlier (vs. later). Implications of these findings for both actual outgroup membership discoveries and social psychological research are discussed.

Les traits de personnalité peuvent-ils distinguer différents types de décrocheurs scolaires potentiels à l'adolescence?

Le décrochage scolaire des adolescents est un phénomène alarmant qui occasionne de multiples conséquences négatives, tant pour le jeune que pour la société. Des recherches empiriques ont soulevé l’importance de considérer les décrocheurs comme un groupe aux profils hétérogènes. En conséquence, quelques chercheurs ont proposé des typologies des décrocheurs scolaires à l’adolescence, dont Janosz (1994; Janosz, Le Blanc, Boulerice, & Tremblay 2000). À partir de trois indicateurs de l’adaptation scolaire des adolescents (engagement scolaire, indiscipline scolaire et performance scolaire), Janosz et ses collègues ont identifié quatre types de décrocheurs scolaires potentiels, soient les Discrets, les Désengagés, les Sous-performants et les Inadaptés. Les études prédictives conduites jusqu’à maintenant ont permis de déterminer que les différents types proposés par cette typologie se distinguent sur différents facteurs de risque du décrochage d’ordre individuel et environnemental. Toutefois, il n’est pas connu si ces types de décrocheurs potentiels se distinguent des adolescents non à risque de décrocher sur un facteur important, soit les traits de personnalité. Cette étude visait donc à évaluer si les traits de personnalité des adolescents (Ouverture, Extraversion, Contrôle, Amabilité et Stabilité émotionnelle) permettaient de prédire l’appartenance aux quatre types de décrocheurs potentiels proposés par Janosz et ses collègues (2000), en contrôlant l’effet de plusieurs autres facteurs de risque classique du décrochage. Les données provenaient de l’étude Stratégie d’Intervention Agir Autrement (SIAA), qui compte plus de 40 000 adolescents provenant de 69 écoles secondaires au Québec. L’échantillon qui a été utilisé dans cette étude (N = 4980) était composé d’élèves de 14 à 16 ans évalués en 2006-2007. Les adolescents ont rempli des questionnaires en groupe durant une période de classe. Différents modèles de régression logistique multinomiale contrôlant pour la nature hiérarchique des données ont confirmé que les traits de personnalité ont prédit l’appartenance à différents types de décrocheurs, et ce, au-delà de l’effet de plusieurs facteurs de risque classiques du décrochage scolaire. Ces résultats suggèrent que les théories du décrochage scolaire pourraient intégrer les traits de personnalité et que ces derniers pourraient être utilisés pour le dépistage des adolescents à risque de décrochage.

Role of CD4+ T cells in the regulation of the immune response against encapsulated Group B Streptococcus

Le Streptocoque de groupe B (GBS) est un important agent d’infection invasive pouvant mener à la mort et demeure la cause principale de septicémie néonatale à ce jour. Neuf sérotypes ont été officiellement décrits basés sur la composition de la capsule polysaccharidique (CPS). Parmi ces sérotypes, le type III est considéré le plus virulent et fréquemment associé aux maladies invasives graves, telle que la méningite. Malgré que plusieurs recherches aient été effectuées au niveau des interactions entre GBS type III et les cellules du système immunitaire innées, aucune information n’est disponible sur la régulation de la réponse immunitaire adaptative dirigée contre ce dernier. Notamment, le rôle de cellules T CD4+ dans l’immuno-pathogenèse de l’infection causée par GBS n’a jamais été étudié. Dans cet étude, trois différents modèles murins d’infection ont été développé pour évaluer l’activation et la modulation des cellules T CD4+ répondantes au GBS de type III : ex vivo, in vivo, et in vitro. Les résultats d’infections ex vivo démontrent que les splénocytes totaux répondent à l’infection en produisant des cytokines de type-1 pro-inflammatoires. Une forte production d’IL-10 accompagne cette cascade inflammatoire, probablement dans l’effort de l’hôte de maintenir l’homéostasie. Les résultats démontrent aussi que les cellules T sont activement recrutées par les cellules répondantes du système inné en produisant des facteurs chimiotactiques, tels que CXCL9, CXCL10, et CCL3. Plus spécifiquement, les résultats obtenus à partir des cellules isolées T CD4+ provenant des infections ex vivo ou in vivo démontrent que ces cellules participent à la production d’IFN-γ et de TNF-α ainsi que d’IL-2, suggérant un profil d’activation Th1. Les cellules isolées T CD4+ n’étaient pas des contributeurs majeurs d’IL-10. Ceci indique que cette cytokine immuno-régulatrice est principalement produite par les cellules de l’immunité innée de la rate de souris infectées. Le profil Th1 des cellules T CD4+ a été confirmé en utilisant un modèle in vitro. Nos résultats démontrent aussi que la CPS de GBS a une role immuno-modulateur dans le développement de la réponse Th1. En résumé, cette étude adresse pour la première fois, la contribution des cellules T CD4+ dans la production d’IFN-γ lors d’une infection à GBS et donc, dans le développement d’une réponse de type Th1. Ces résultats renforcent d’avantage le rôle central de cette cytokine pour un control efficace des infections causées par ce pathogène.

Recherche et caractérisation des étoiles jeunes de faible masse dans le voisinage solaire

L'outil développé dans le cadre de cette thèse est disponible à l'adresse suivante: www.astro.umontreal.ca/~malo/banyan.php

Regression models for bivariate survival data

Multivariate lifetime data arise in various forms including recurrent event data when individuals are followed to observe the sequence of occurrences of a certain type of event; correlated lifetime when an individual is followed for the occurrence of two or more types of events, or when distinct individuals have dependent event times. In most studies there are covariates such as treatments, group indicators, individual characteristics, or environmental conditions, whose relationship to lifetime is of interest. This leads to a consideration of regression models.The well known Cox proportional hazards model and its variations, using the marginal hazard functions employed for the analysis of multivariate survival data in literature are not sufficient to explain the complete dependence structure of pair of lifetimes on the covariate vector. Motivated by this, in Chapter 2, we introduced a bivariate proportional hazards model using vector hazard function of Johnson and Kotz (1975), in which the covariates under study have different effect on two components of the vector hazard function. The proposed model is useful in real life situations to study the dependence structure of pair of lifetimes on the covariate vector . The well known partial likelihood approach is used for the estimation of parameter vectors. We then introduced a bivariate proportional hazards model for gap times of recurrent events in Chapter 3. The model incorporates both marginal and joint dependence of the distribution of gap times on the covariate vector . In many fields of application, mean residual life function is considered superior concept than the hazard function. Motivated by this, in Chapter 4, we considered a new semi-parametric model, bivariate proportional mean residual life time model, to assess the relationship between mean residual life and covariates for gap time of recurrent events. The counting process approach is used for the inference procedures of the gap time of recurrent events. In many survival studies, the distribution of lifetime may depend on the distribution of censoring time. In Chapter 5, we introduced a proportional hazards model for duration times and developed inference procedures under dependent (informative) censoring. In Chapter 6, we introduced a bivariate proportional hazards model for competing risks data under right censoring. The asymptotic properties of the estimators of the parameters of different models developed in previous chapters, were studied. The proposed models were applied to various real life situations.