It is customary when presenting a choropleth map of rates or counts to present only the estimates (mean or mode) of the parameters of interest. While this technique illustrates spatial variation, it ignores the variation inherent in the estimates. We describe an approach to present variability in choropleth maps by constructing 100(1-alpha)% simultaneous intervals. The result provides three maps (estimate with two bands). We propose two methods to construct simultaneous intervals from the optimal individual highest posterior density (HPD) intervals to ensure joint simultaneous coverage of 100(1-alpha)%. Both methods exhibit the main feature of multiplying the lower bound and dividing the upper bound of the individual HPD intervals by parameters 0

Les modèles de régressions à inflation de zéros constituent un outil très puissant pour l’analyse de données de comptage avec excès de zéros, émanant de divers domaines tels que l’épidémiologie, l’économie de la santé ou encore l’écologie. Cependant, l’étude théorique dans ces modèles attire encore peu d’attention. Ce manuscrit s’intéresse au problème de l’inférence dans des modèles de comptage à inflation de zéro.Dans un premier temps, nous revenons sur la question de l’estimateur du maximum de vraisemblance dans le modèle binomial à inflation de zéro. D’abord nous montrons l’existence de l’estimateur du maximum de vraisemblance des paramètres dans ce modèle. Ensuite, nous démontrons la consistance de cet estimateur, et nous établissons sa normalité asymptotique. Puis, une étude de simulation exhaustive sur des tailles finies d’échantillons est menée pour évaluer la cohérence de nos résultats. Et pour finir, une application sur des données réelles d’économie de la santé a été conduite.Dans un deuxième temps, nous proposons un nouveau modèle statistique d’analyse de la consommation de soins médicaux. Ce modèle permet, entre autres, d’identifier les causes du non-recours aux soins médicaux. Nous avons étudié rigoureusement les propriétés mathématiques du modèle. Ensuite nous avons mené une étude numérique approfondie à l’aide de simulations informatiques et enfin, nous l’avons appliqué à l’analyse d’une base de données recensant la consommation de soins de plusieurs milliers de patients aux USA.Un dernier aspect de ces travaux de thèse a été de s’intéresser au problème de l’inférence dans le modèle binomial à inflation de zéro dans un contexte de données manquantes sur les covariables. Dans ce cas nous proposons la méthode de pondération par l’inverse des probabilités de sélection pour estimer les paramètres du modèle. Ensuite, nous établissons la consistance et la normalité asymptotique de l’estimateur proposé. Enfin, une étude de simulation sur plusieurs échantillons de tailles finies est conduite pour évaluer le comportement de l’estimateur. / The zero-inflated regression models are a very powerful tool for the analysis of counting data with excess zeros from various areas such as epidemiology, health economics or ecology. However, the theoretical study in these models attracts little attention. This manuscript is interested in the problem of inference in zero-inflated count models.At first, we return to the question of the maximum likelihood estimator in the zero-inflated binomial model. First we show the existence of the maximum likelihood estimator of the parameters in this model. Then, we demonstrate the consistency of this estimator, and let us establish its asymptotic normality. Then, a comprehensive simulation study finite sample sizes are conducted to evaluate the consistency of our results. Finally, an application on real health economics data has been conduct.In a second time, we propose a new statistical analysis model of the consumption of medical care. This model allows, among other things, to identify the causes of the non-use of medical care. We have studied rigorously the mathematical properties of the model. Then, we carried out an exhaustive numerical study using computer simulations and finally applied to the analysis of a database on health care several thousand patients in the USA.A final aspect of this work was to focus on the problem of inference in the zero inflation binomial model in the context of missing covariate data. In this case we propose the weighting method by the inverse of the selection probabilities to estimate the parameters of the model. Then, we establish the consistency and asymptotic normality of the estimator offers. Finally, a simulation study on several samples of finite sizes is conducted to evaluate the behavior of the estimator.

In advent of the Semantic Web and recent standardization efforts, Ontology has quickly become a popular and core semantic technology. Ontology is seen as a solution provider to knowledge based systems. It facilitates tasks such as knowledge sharing, reuse and intelligent processing by computer agents. A key problem addressed by Ontology is the semantic interoperability problem. Interoperability in general is a common problem in different domain applications and semantic interoperability is the hardest and an ongoing research problem. It is required for systems to exchange knowledge and having the meaning of the knowledge accurately and automatically interpreted by the receiving systems. The innovation is to allow knowledge to be consumed and used accurately in a way that is not foreseen by the original creator. While Ontology promotes semantic interoperability across systems by unifying their knowledge bases through consensual understanding, common engineering and processing practices, it does not solve the semantic interoperability problem at the global level. As individuals are increasingly empowered with tools, ontologies will eventually be created more easily and rapidly at a near individual scale. Global semantic interoperability between heterogeneous ontologies created by small groups of individuals will then be required. Ontology mapping is a mechanism for providing semantic bridges between ontologies. While ontology mapping promotes semantic interoperability across ontologies, it is seen as the solution provider to the global semantic interoperability problem. However, there is no single ontology mapping solution that caters for all problem scenarios. Different applications would require different mapping techniques. In this thesis, we analyze the relations between ontology, semantic interoperability and ontology mapping, and promote an ontology-based semantic interoperability solution. We propose a novel ontology mapping approach namely, OntoMogic. It is based on first order logic and model theory. OntoMogic supports approximate mapping and produces structures (approximate entity correspondence) that represent alignment results between concepts. OntoMogic has been implemented as a coherent system and is applied in different application scenarios. We present case studies in the network configuration, security intrusion detection and IT governance & compliance management domain. The full process of ontology engineering to mapping has been demonstrated to promote ontology-based semantic interoperability.

In advent of the Semantic Web and recent standardization efforts, Ontology has quickly become a popular and core semantic technology. Ontology is seen as a solution provider to knowledge based systems. It facilitates tasks such as knowledge sharing, reuse and intelligent processing by computer agents. A key problem addressed by Ontology is the semantic interoperability problem. Interoperability in general is a common problem in different domain applications and semantic interoperability is the hardest and an ongoing research problem. It is required for systems to exchange knowledge and having the meaning of the knowledge accurately and automatically interpreted by the receiving systems. The innovation is to allow knowledge to be consumed and used accurately in a way that is not foreseen by the original creator. While Ontology promotes semantic interoperability across systems by unifying their knowledge bases through consensual understanding, common engineering and processing practices, it does not solve the semantic interoperability problem at the global level. As individuals are increasingly empowered with tools, ontologies will eventually be created more easily and rapidly at a near individual scale. Global semantic interoperability between heterogeneous ontologies created by small groups of individuals will then be required. Ontology mapping is a mechanism for providing semantic bridges between ontologies. While ontology mapping promotes semantic interoperability across ontologies, it is seen as the solution provider to the global semantic interoperability problem. However, there is no single ontology mapping solution that caters for all problem scenarios. Different applications would require different mapping techniques. In this thesis, we analyze the relations between ontology, semantic interoperability and ontology mapping, and promote an ontology-based semantic interoperability solution. We propose a novel ontology mapping approach namely, OntoMogic. It is based on first order logic and model theory. OntoMogic supports approximate mapping and produces structures (approximate entity correspondence) that represent alignment results between concepts. OntoMogic has been implemented as a coherent system and is applied in different application scenarios. We present case studies in the network configuration, security intrusion detection and IT governance & compliance management domain. The full process of ontology engineering to mapping has been demonstrated to promote ontology-based semantic interoperability.

No Brasil, a inclusão na educação é uma temática de extrema importância a ser discutida, principalmente quando o cenário trata do ensino de língua estrangeira para alunos surdos que não reconhecem o português como sua primeira língua. Considerando tal questão, a presente dissertação teve como objetivo principal realizar um mapeamento do ensino de língua inglesa para alunos surdos, nos Ensinos Fundamental II e Médio da rede pública estadual no município de Pato Branco-PR. Especificamente, intentou-se investigar as relações teórico-práticas na implementação das políticas educacionais inclusivas na educação regular nos Ensinos Fundamental II e Médio de Pato Branco, bem como investigar algumas práticas pedagógicas que poderiam, na opinião dos alunos surdos, ajudar no processo de ensino-aprendizagem na sala de aula de inglês. O desenvolvimento do trabalho baseou-se na exploração de documentos oficiais (BRASIL, 1998; e PARANÁ, 2008; entre outros) e leis (Lei nº 10.436/2002, Decreto º 5.626, Decreto 4.176 e outros), além de princípios teóricos relacionados ao ensino de língua Inglesa (BARCELOS, 2007; LIMA, 2009), inclusão (CAMPBELL, 2016; MITLER, 2003; STAINBACK, 1999; entre outros), identidade (BHABHA, 1998; HALL, 2001, 2005; MARTINS, 2004; PERLIN, 1998), desenvolvimento humano/aprendizagem e a linguagem (BAKHTIN, 2010, 2016; BENVENISTE, 1988; SAUSSURE, 1999;VIGOTSKY, 1991, 1993, 1998, 2001; VOLÓCHINOV, 2017) e pressupostos teóricos que envolvem a surdez (GESSER, 2009; LOPES, 2007; QUADROS, 2007; SANTANA, 2007, SKILIAR 2010, entre outros). A pesquisa configurou-se como qualitativa etnográfica interpretativa (CLARETO 2003; MAANES, 1979; MOITA LOPES, 1994; MOREIRA, 2008), sob a perspectiva teórico-metodológica do Interacionismo Sociodiscursivo (BRONCKART, 2006, 2012). Os instrumentos de coleta e geração de dados foram levantamento de bibliografias relacionadas ao tema, observação de vinte e nove horas-aula de inglês e questionário aplicado aos participantes da pesquisa. Cinco alunos surdos matriculados na rede estadual de ensino (Ensino Fundamental II e Ensino Médio), em 2017, do município supracitado foram os participantes da pesquisa. Os dados foram tratados pela análise de conteúdo, nas categorias de vozes, índice de pessoa e modalizações. Os resultados da investigação permitiram identificar que: a) há lacunas entre a legislação e a sua aplicação prática; e b) há vários fatores que comprometem o ensino-aprendizagem de língua inglesa para surdos, dentre os quais a necessidade de adaptar recursos didáticos que envolvam mais o campo visual, já que, por falta da audição, uma das características sensoriais bastante desenvolvidas pelos surdos é a sensibilidade perceptiva visual. Por fim, acreditamos que as práticas-pedagógicas sugeridas pelo estudo, somadas a outras existentes oriundas de outros estudos, podem contribuir significativamente para o avanço da qualidade da inclusão no processo de ensino-aprendizagem da Língua Inglesa para alunos surdos. / In Brazil, the issue of inclusion in education is a matter of extreme importance to be discussed, mainly when it refers to the teaching of some foreign languages to deaf students who don't recognized Portuguese as their first language. Considering this issue, the main objective of this work was to carry out a mapping of English language teaching to deaf students of Elementary School II and High School, in the public state education network in the city of Pato Branco-PR. Specifically, it intended to investigate the theoretical and practical relation in the implementation of inclusive educational politics in regular education of Elementary School II and High School in Pato Branco, as well as to investigate the pedagogical practices that could, in the view of the deaf students, help in the English teaching-learning process in the classroom. The development of the work was based on the study of official documents ((BRASIL, 1998; e PARANÁ, 2008;PDC, among others) and laws (Law n. 10.436/2002, Decree º 5.626, Decree 4.176 and others), besides theoretical principles related to the teaching of the English Language (BARCELOS, 2017; LIMA, 2009), inclusion (CAMPBELL, 2016; MITLER, 2003; STAINBACK, 1999; among others), identity (BHABHA, 1998; HALL, 2001, 2005; MARTINS, 2004; PERLIN, 1998), language development (BAKHTIN, 2010, 2016; BENVENISTE, 1988; SAUSSURE, 1999;VIGOTSKY, 1991, 1993, 1998, 2001; VOLÓCHINOV, 2017) and deafness (GESSER, 2009; LOPES, 2007; QUADROS, 2007; SANTANA, 2007, SKILIAR 2010, among others). It is a qualitative interpretive ethnographical research (CLARETO 2003; MAANES, 1979; MOITA LOPES, 1994; MOREIRA, 2008), which follows Sociodiscursive Interactionsim theoretical and methodological perspective (BRONCKART, 2006, 2012). Data collection and generation was carried out by means of a review of literature related to the theme, twenty-nine hours of classroom observation and a questionnaire applied to research participants. Participants were five deaf students enrolled within the State network (Elementary School II and High School), in 2017, of the municipality already mentioned. Data was treated by means of the content analysis framework, including voices, person index and modalizations. Analysis results allowed us to know that: a) there are some gaps between inclusive official laws and its practical implementation; and b) there are many factors that undermine the English teaching and learning process to deaf people, among them the need to adapt didactic materials, since by the lack of listening, one of deaf people‘s sensorial characteristics is the visual sensitivity. By the end, we believe that the pedagogical practices suggested by this study, added to others already existed and from other studies, can meaningfully contribute to the inclusive qualitative advancement of the English teaching-learning process to deaf people.

Indiana University-Purdue University Indianapolis (IUPUI) / Let f:X\rightarrow X be a dominant meromorphic self-map, where X is a compact, connected complex manifold of dimension n > 1. Suppose there is an embedded copy of \mathbb P^1 that is invariant under f, with f holomorphic and transversally superattracting with degree a in some neighborhood. Suppose also that f restricted to this line is given by z\rightarrow z^b, with resulting invariant circle S. We prove that if a ≥ b, then the local stable manifold W^s_loc(S) is real analytic. In fact, we state and prove a suitable localized version that can be useful in wider contexts. We then show that the condition a ≥ b cannot be relaxed without adding additional hypotheses by resenting two examples with a < b for which W^s_loc(S) is not real analytic in the neighborhood of any point.

Indiana University-Purdue University Indianapolis (IUPUI) / This paper is a study of the dynamics of a new family of maps from the complex plane to itself, which we call twisted tent maps. A twisted tent map is a complex generalization of a real tent map. The action of this map can be visualized as the complex scaling of the plane followed by folding the plane once. Most of the time, scaling by a complex number will \twist" the plane, hence the name. The "folding" both breaks analyticity (and even smoothness) and leads to interesting dynamics ranging from easily understood and highly geometric behavior to chaotic behavior and fractals.