Bivariate gamma-geometric law and its induced Levy process

In this article we introduce a three-parameter extension of the bivariate exponential-geometric (BEG) law (Kozubowski and Panorska, 2005) [4]. We refer to this new distribution as the bivariate gamma-geometric (BGG) law. A bivariate random vector (X, N) follows the BGG law if N has geometric distribution and X may be represented (in law) as a sum of N independent and identically distributed gamma variables, where these variables are independent of N. Statistical properties such as moment generation and characteristic functions, moments and a variance-covariance matrix are provided. The marginal and conditional laws are also studied. We show that BBG distribution is infinitely divisible, just as the BEG model is. Further, we provide alternative representations for the BGG distribution and show that it enjoys a geometric stability property. Maximum likelihood estimation and inference are discussed and a reparametrization is proposed in order to obtain orthogonality of the parameters. We present an application to a real data set where our model provides a better fit than the BEG model. Our bivariate distribution induces a bivariate Levy process with correlated gamma and negative binomial processes, which extends the bivariate Levy motion proposed by Kozubowski et al. (2008) [6]. The marginals of our Levy motion are a mixture of gamma and negative binomial processes and we named it BMixGNB motion. Basic properties such as stochastic self-similarity and the covariance matrix of the process are presented. The bivariate distribution at fixed time of our BMixGNB process is also studied and some results are derived, including a discussion about maximum likelihood estimation and inference. (C) 2012 Elsevier Inc. All rights reserved.

The Structural and Electronic Properties of Tin Oxide Nanowires: An Ab Initio Investigation

We performed an ab initio investigation on the properties of rutile tin oxide (SnOx) nanowires. We computed the wire properties determining the equilibrium geometries, binding energies, and electronic band structures for several wire dimensions and surface facet configurations. The results allowed us to establish scaling laws for the structural properties, in terms of the nanowire perimeters. The results also showed that the surface states control most of the electronic properties of the nanowires. Oxygen incorporation in the nanowire surfaces passivated the surface-related electronic states, and the resulting quantum properties and scaling laws were fully consistent with electrons confined inside the nanowire. Additionally, oxygen incorporation in the wire surfaces generated an unbalanced concentration of spin up and down electrons, leading to magnetic states for the nanowires.

Growth kinetics of CdS in germanium oxide glassy matrix

In the present work we revisit the size data of CdS microcrystals previously collected in the glassy matrix of Germanium oxide. The CdS clusters analyzed using electron microscopy images have shown a wurtzite structure. The mean average radius, dispersion and volume evaluated from the histograms showed good agreement for t(1/3), t(2/3) and t laws, respectively. We observed that the amount of microcrystals remains constant throughout the heat treatment process, as well as that the radii distribution has a lower limit and increases with heat treatment. The distribution of radii follows a distribution similar to the Lifshitz-Slyozov-Wagner distribution limited in the origin. Discussions led to the conclusion that the growth of CdS is a process that occurs after the fluctuating nucleation and coalescence phases. We then analyze the growth process, assuming that the evaporation is overcome by the precipitation rate, stabilizing all clusters with respect to dissolution back into the matrix. The problem was simplified neglecting anisotropy and the assuming a spherical shape for clusters and particles. The low interface tension was described in terms of an empirical potential barrier in the surface of the cluster. The growth dynamics developed considering that the number of clusters remains constant, and that the minimum size of these clusters grow with time, as the first order approximation showed a good agreement with the flaw. (C) 2012 Elsevier B.V. All rights reserved.

As instituições administrativas e o planejamento territorial paulista: 1938-1967

O objetivo é analisar o papel das instituições administrativas no planejamento urbano e regional do Estado de São Paulo. Nosso objeto de estudo são as leis e decretos estaduais e federais e as ações do Estado que definiram os padrões de organização territorial das cidades. Entendemos que a partir deles as ações administrativas atribuíram às cidades um modelo de planejamento setorizado e polarizado. Entre as décadas de 1930 e 1960, esse modelo formou a base para a aplicação de uma divisão funcional urbana fundada nas características produtivas e responsável pela provisão de recursos. A partir da década de 1960, a organização territorial paulista foi padronizada pelo conceito de polo urbano e o planejamento urbano e regional ficou submetido às condicionantes econômicas.

O livro didático no ensino do direito

Esse trabalho tem por objetivo a análise de livros didáticos jurídicos na perspectiva da história dos direitos europeu e brasileiro, tendo como referencial teórico o texto de Alain Choppin sobre as funções do livro didático. Foram analisados livros didáticos jurídicos produzidos desde a Antiguidade até os dias atuais, assim como importantes mudanças legislativas ocorridas em Portugal no século XVIII e no Brasil no século XIX. Seus autores são, em sua maioria, professores universitários, para que seus textos servissem de fonte de argumentos de autoridade na prática. Ao lado dos manuais, sempre foi recorrente o uso de apostilas elaboradas pelos professores ou pelos próprios alunos, a partir das anotações das aulas. Nos últimos tempos, os manuais sofrem a concorrência dos resumos voltados para concursos públicos e dos “cadernos” distribuídos pelos alunos pela Internet. As principais conclusões foram as de que os livros didáticos jurídicos são importantes para o aprendizado do Direito.