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.

Materno-infantilism, feminism and maternal health policy in Brazil

In the last days of 2011, President of Brazil Dilma Rousseff issued a provisional measure (or draft law) entitled "National Surveillance and Monitoring Registration System for the Prevention of Maternal Mortality" (MP 557), as part of a new maternal health programme. It was supposed to address the pressing issue of maternal morbidity and mortality in Brazil, but instead it caused an explosive controversy because it used terms such as nascituro (unborn child) and proposed the compulsory registration of every pregnancy. After intense protests by feminist and human rights groups that this law was unconstitutional, violated women's right to privacy and threatened our already limited reproductive rights, the measure was revised in January 2012, omitting "the unborn child" but not the mandatory registration of pregnancy. Unfortunately, neither version of the draft law addresses the two main problems with maternal health in Brazil: the over-medicalisation of childbirth and its adverse effects, and the need for safe, legal abortion. The content of this measure itself reflects the conflictive nature of public policies on reproductive health in Brazil and how they are shaped by close links between different levels of government and political parties, and religious and professional sectors. (C) 2012 Reproductive Health Matters

ANCIENT LAW – UM CLÁSSICO REVISITADO 150 ANOS DEPOIS

Este artigo pretende realçar a importância desempenhada pela obra de Henry James Sumner Maine na formação da antropologia jurídica e da sociologia do direito. Mediante a recuperação da tese central de sua obra Ancient Law, procura ressaltar o papel por ela desempenhado no delineamento de uma nova forma de abordagem da relação entre direito e sociedade. Para tanto, recupera traços gerais das análises de Norbert Rouland e de Niklas Luhmann acerca da importância das ideias do autor.

Experimental and numerical analysis of dry contact in the pin on disc test

The reduction of friction and wear in systems presenting metal-to-metal contacts, as in several mechanical components, represents a traditional challenge in tribology. In this context, this work presents a computational study based on the linear Archard's wear law and finite element modeling (FEM), in order to analyze unlubricated sliding wear observed in typical pin on disc tests. Such modeling was developed using finite element software Abaqus® with 3-D deformable geometries and elastic–plastic material behavior for the contact surfaces. Archard's wear model was implemented into a FORTRAN user subroutine (UMESHMOTION) in order to describe sliding wear. Modeling of debris and oxide formation mechanisms was taken into account by the use of a global wear coefficient obtained from experimental measurements. Such implementation considers an incremental computation for surface wear based on the nodal displacements by means of adaptive mesh tools that rearrange local nodal positions. In this way, the worn track was obtained and new surface profile is integrated for mass loss assessments. This work also presents experimental pin on disc tests with AISI 4140 pins on rotating AISI H13 discs with normal loads of 10, 35, 70 and 140 N, which represent, respectively, mild, transition and severe wear regimes, at sliding speed of 0.1 m/s. Numerical and experimental results were compared in terms of wear rate and friction coefficient. Furthermore, in the numerical simulation the stress field distribution and changes in the surface profile across the worn track of the disc were analyzed. The applied numerical formulation has shown to be more appropriate to predict mild wear regime than severe regime, especially due to the shorter running-in period observed in lower loads that characterizes this kind of regime.