Padrões de aleatoriedade na modelação do acaso

A soma de variáveis aleatórias com número de parcelas é aleatório, para além do evidente interesse conceptual e teórico, tem larga ressonância na investigação do processo de risco e em processos de ramificação. Reformulamos a teoria de Panjer (1981), que permite o cálculo iterativo do risco agregado, com o recurso a valores médios de uniformes, descrevendo uma extensão da classe de Panjer, e estudando em detalhe a equação funcional que a caracteriza. Aplicamos essas ideias na caracterização de aleatoriedade discreta, exemplificando com o comportamento das fêmeas de pássaros que investem na promiscuidade de parceiros para garantir a diversidade genética da progénie, tendo no entanto o cuidado de manter as aparências de fidelidade, para garantir a cooperação do parceiro no sucesso da ninhada. Apresentamos as transformadas de Laplace e funções geradoras numa perspectiva que leva a uma introdção natural de transformadas de Pareto, cuja relevância exemplificamos.

Studies in non-Gaussian analysis

This thesis presents general methods in non-Gaussian analysis in infinite dimensional spaces. As main applications we study Poisson and compound Poisson spaces. Given a probability measure μ on a co-nuclear space, we develop an abstract theory based on the generalized Appell systems which are bi-orthogonal. We study its properties as well as the generated Gelfand triples. As an example we consider the important case of Poisson measures. The product and Wick calculus are developed on this context. We provide formulas for the change of the generalized Appell system under a transformation of the measure. The L² structure for the Poisson measure, compound Poisson and Gamma measures are elaborated. We exhibit the chaos decomposition using the Fock isomorphism. We obtain the representation of the creation, annihilation operators. We construct two types of differential geometry on the configuration space over a differentiable manifold. These two geometries are related through the Dirichlet forms for Poisson measures as well as for its perturbations. Finally, we construct the internal geometry on the compound configurations space. In particular, the intrinsic gradient, the divergence and the Laplace-Beltrami operator. As a result, we may define the Dirichlet forms which are associated to a diffusion process. Consequently, we obtain the representation of the Lie algebra of vector fields with compact support. All these results extends directly for the marked Poisson spaces.

Natal qual é a sua cara?: análise do perfil edilício da avenida Eng. Roberto Freire (Natal/RN) à luz da acessibilidade

This study focuses on the building ensemble of Avenida Roberto Freire, a main road in Natal, Brazil, as a material expression of the confluence of various factors among which the following may be emphasized: high level of accessibility due to urban spatial re-structuring and the growth of the real estate market, in view of the increasing number of consumers, who arrived in Natal within the last decades. The intense urban modification process that has been going on in Natal since at least the 1980s, has engendered the formation of long axial lines which express the expansion dynamics and some of the forces subjacent to it. Avenida Roberto Freire has been an iconic example of an urban thoroughfare where architecture becomes primarily a communication support that can be perceived by fast moving passers-by, what brings it close to the venturian concept of strip (Venturi at al, 1972). The building types that line the road not only respond to the dynamics in process but also contribute to intensify it, as they house a variety of uses which attract people and generate more movement. The dynamics is further strengthened by the action of the real estate business which benefits from the increase of highly accessible locations, and from the private and public investments and incentives to tourism that aim to insert this city into the globalized world. Although the intention of reconstituting part of the history of density increase on this avenue in a diachronical perspective was attempted within the limits of the available references and documentation, the central contribution of this study is to understand the relations between topological accessibility and the typological nature of the building ensemble. By observing the synchronic morphological frame resulting from the spatial configuration analysis pertinent to this avenue (cf. Hillier and Hanson,1984) and the inventory and classification of the building ensemble there existing, this study aims to understand how architecture responds to accessibility in view of the real estate pressure, boosted by a cosmopolitanizing process brought about by the continuous flow of foreign and Brazilian arrivals as visitors, temporary or permanent residents

A rede de marcação e recaptura: o caso de borboletas do gênero heliconius

(The Mark and Recapture Network: a Heliconius case study). The current pace of habitat destruction, especially in tropical landscapes, has increased the need for understanding minimum patch requirements and patch distance as tools for conserving species in forest remnants. Mark recapture and tagging studies have been instrumental in providing parameters for functional models. Because of their popularity, ease of manipulation and well known biology, butterflies have become model in studies of spatial structure. Yet, most studies on butterflies movement have focused on temperate species that live in open habitats, in which forest patches are barrier to movement. This study aimed to view and review data from mark-recapture as a network in two species of butterfly (Heliconius erato and Heliconius melpomene). A work of marking and recapture of the species was carried out in an Atlantic forest reserve located about 20km from the city of Natal (RN). Mark recapture studies were conducted in 3 weekly visits during January-February and July-August in 2007 and 2008. Captures were more common in two sections of the dirt road, with minimal collection in the forest trail. The spatial spread of captures was similar in the two species. Yet, distances between recaptures seem to be greater for Heliconius erato than for Heliconius melpomene. In addition, the erato network is more disconnected, suggesting that this specie has shorter traveling patches. Moving on to the network, both species have similar number of links (N) and unweighed vertices (L). However, melpomene has a weighed network 50% more connections than erato. These network metrics suggest that erato has more compartmentalized network and restricted movement than melpomene. Thus, erato has a larger number of disconnected components, nC, in the network, and a smaller network diameter. The frequency distribution of network connectivity for both species was better explained by a Power-law than by a random, Poissom distribution, showing that the Power-law provides a better fit than the Poisson for both species. Moreover, the Powerlaw erato is much better adjusted than in melpomene, which should be linked to the small movements that erato makes in the network

Impacto da estratégia saúde da família com equipe de saúde bucal sobre indicadores de saúde bucal: análise em municípios do nordeste com mais de 100 mil habitantes

This study examined in municipalities of Northeast of Brazil with more than one hundred thousand people who incorporation of Oral Health Teams (OHT) into the Family Health Strategy (FHE) the possible impact on oral health indicators. Sought to answer whether implementation OHT brought the best indicators of health problems and coverage, compared to areas without coverage by the FHE through a community trial in parallel, quasi-randomized. In each of the municipalities surveyed were 20 census tracts, 10 were located in areas covered by oral health teams in the ESF and 10 industries in areas not covered. The final sample consisted of 59.221 individuals. We compared oral health indicators related to health problems, access to services and coverage of oral health actions. The analysis strategy was based on the calculation of prevalence ratios and confidence intervals, adjusted for confounding factors through Poisson regression with robust variance. It also has measured the association between an indicator of social inequality for comparison between areas. The best results are associated with indicators of access and coverage of oral health actions at the expense of the indicators of health problems, suggesting a possible maintenance of a traditional model of practice yet. The results also suggest a possible effect of a specific policy in the area of primary care on inequality in access. From the discussions presented throughout this work, we can see that the impact analysis of public policy, obtained by comparing areas with and without the intervention, not only captures the effect on the target population, but other dimensions of organization service and therefore should be understood as one of the analytical possibilities related to the management

Distribuição espacial de Dilobopterus costalimai young (Hemiptera: Cicadellidae) em citros na região de Taquaritinga, SP

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Distribuição espacial de Oncometopia facialis (Signoret) (Hemiptera: Cicadellidae) em pomar cítrico

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Distribuição Espacial da Lagarta-do-Cartucho, Spodoptera frugiperda (J.E. Smith) (Lepidoptera: Noctuidae), na Cultura do Milho

O estudo da distribuição espacial da lagarta-do-cartucho, Spodoptera frugiperda (J.E. Smith), na cultura do milho é fundamental para garantir a utilização de estratégias de controle, otimização de técnicas de amostragem, determinação de danos econômicos e incorporação da dinâmica espacial dentro do modelo populacional. O experimento foi conduzido em três campos contendo 100 parcelas cada, sendo amostradas 10 plantas ao acaso por parcela, num total de 1000 plantas por campo em cinco datas de amostragem. Foram contados o número de lagartas pequenas (menor que 10 mm) e grandes (maior que 10 mm) por planta. As lagartas pequenas apresentaram um ajuste muito bom à distribuição binomial negativa e não à Poisson, indicando que esta categoria larval encontra-se agregada no campo. Os números de lagartas grandes por planta ajustaram-se razoavelmente à distribuição binomial negativa, com algumas datas ajustando-se à distribuição de Poisson. Portanto, as lagartas pequenas (alta densidade populacional) têm distribuição agregada no campo, enquanto que as lagartas grandes (baixa densidade populacional) podem ser mais dispersas no campo, tendendo à aleatoriedade.

Distribuição espacial de Alabama argillacea (Hübner) (Lepidoptera: Noctuidae) em algodoeiro

O conhecimento do modelo de distribuição espacial de pragas na cultura é fundamental para estabelecer um plano adequado de amostragem seqüencial e, assim, permitir a correta utilização das estratégias de controle e a otimização das técnicas de amostragem. Esta pesquisa objetivou estudar a distribuição espacial de lagartas de Alabama argillacea (Hübner) na cultura do algodoeiro, cultivar CNPA ITA-90. A coleta de dados ocorreu durante o ano agrícola de 1998/99 na Fazenda Itamarati Sul S.A., localizada no município de Ponta Porã, MS, em três diferentes áreas de 10.000 m² cada uma. Cada área amostral foi composta de 100 parcelas com 100 m² cada. Foi realizada semanalmente a contagem das lagartas pequenas, médias e grandes, encontradas em cinco plantas por parcela. Os índices de agregação (razão variância/média e índice de Morisita), o teste de qui-quadrado com o ajuste dos valores encontrados e esperados às distribuições teóricas de freqüência (Poisson, binomial positiva e binomial negativa), mostraram que todos os estádios das lagartas estão distribuídos de acordo com o modelo de distribuição contagiosa, ajustando-se ao padrão da Distribuição Binomial Negativa durante todo o período de infestação.

Adrien-Marie Legendre (1752-1833) e suas obras em Teoria dos Números

The present thesis is an analysis of Adrien-Marie Legendre s works on Number Theory, with a certain emphasis on his 1830 edition of Theory of Numbers. The role played by these works in their historical context and their influence on the development of Number Theory was investigated. A biographic study of Legendre (1752-1833) was undertaken, in which both his personal relations and his scientific productions were related to certain historical elements of the development of both his homeland, France, and the sciences in general, during the 18th and 19th centuries This study revealed notable characteristics of his personality, as well as his attitudes toward his mathematical contemporaries, especially with regard to his seemingly incessant quarrels with Gauss about the priority of various of their scientific discoveries. This is followed by a systematic study of Lagrange s work on Number Theory, including a comparative reading of certain topics, especially that of his renowned law of quadratic reciprocity, with texts of some of his contemporaries. In this way, the dynamics of the evolution of his thought in relation to his semantics, the organization of his demonstrations and his number theoretical discoveries was delimited. Finally, the impact of Legendre s work on Number Theory on the French mathematical community of the time was investigated. This investigation revealed that he not only made substantial contributions to this branch of Mathematics, but also inspired other mathematicians to advance this science even further. This indeed is a fitting legacy for his Theory of Numbers, the first modern text on Higher Arithmetic, on which he labored half his life, producing various editions. Nevertheless, Legendre also received many posthumous honors, including having his name perpetuated on the Trocadéro face of the Eiffel Tower, which contains a list of 72 eminent scientists, and having a street and an alley in Paris named after him

Controle on-line do número de não-conformidades por itens em uma produção finita

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Controle on-line por atributos para o número de não-conformidades no item inspecionado com base em uma sequência de inspeção

This paper proposes a procedure to control on-line processes for attributes, using an Shewhart control chart with two control limits (warning limit and control limit) and will be based on a sequence of inspection (h). The inspection procedure is based on Taguchi et al. (1989), in which to inspect the item, if the number of non-conformities is higher than an upper control limit, the process needs to be stopped and some adjustment is required; and, if the last inspection h, from all items inspected present a number of non-conformities between the control limit and warning limit. The items inspected will suffer destructive inspection, being discarded after inspection. Properties of an ergodic Markov chain are used to get the expression of average cost per item and the aim was the determination of four optimized parameters: the sampling interval of the inspections (m); the constant W to draw the warning limit (W); the constant C to draw the control limit (C), where W £ C, and the length of sequence of inspections (h). Numerical examples illustrate the proposed procedure

Nutrition-related habits and associated factors of Brazilian adolescents

To investigate the nutrition-related habits (NRH) of Brazilian adolescents and evaluate the associations with risk factors.Cross-sectional school-based was carried out among high school adolescents aged 14-18 years (n = 1,759) from public and private schools from two cities. The NRH were investigated by the weekly consumption of vegetables, fruit, sweet food and fried food. Risk factors investigated were: city, sex, age, socioeconomic status and nutritional status. In statistics, Poisson regression was used with robust variance adjustment.Data indicated low consumption of fruits and vegetables, 70.0 and 71.0%, respectively, and high consumption of sweets and fried food, 66.7 and 63%, respectively. Boys showed risk of inadequate intake of vegetables [prevalence ratios (PR) 1.10, 95% CI 1.01-1.16] and fruit (PR 1.09, 95% CI 1.01-1.16). Furthermore, adolescents who live in Maringa had greater likelihood of consuming vegetables and fruit (20 and 25%, respectively). However, they presented risk of inadequate consumption of sweets (PR 1.19, 95% CI 1.11-1.28) for adolescents who live in Presidente Prudente.We concluded that inadequate NRH show high prevalence among adolescents and indicate the need to employ educational strategies that promote the adoption of more healthy habits and behaviors.

Associação entre estado nutricional e pressão arterial em escolares

The aim of this study was to analyze the association between nutritional status and blood pressure in adolescents from a private school. Were recruited 316 young of both gender with age raging from 11 to 15 years old. Were measured body mass, stature, systolic blood pressure and diastolic blood pressure. The statistic procedures were composed by median, interquartile range, chi-square test and Poisson regression. The prevalence of overweight and high blood pressure was significantly higher in boys (38% and 24%, respectively) when compared to girls (19.3% and 14.4%, respectively). Overweight adolescents presented a higher risk (about 2-fold) to develop high blood pressure. In conclusion, overweight seems to be associate with high blood pressure in adolescents.

Association between regular participation in sports and leisure time behaviors in Brazilian adolescents: A cross-sectional study

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)