Bayesian estimation and case influence diagnostics for the zero-inflated negative binomial regression model

In recent years, there has been considerable interest in regression models based on zero-inflated distributions. These models are commonly encountered in many disciplines, such as medicine, public health, and environmental sciences, among others. The zero-inflated Poisson (ZIP) model has been typically considered for these types of problems. However, the ZIP model can fail if the non-zero counts are overdispersed in relation to the Poisson distribution, hence the zero-inflated negative binomial (ZINB) model may be more appropriate. In this paper, we present a Bayesian approach for fitting the ZINB regression model. This model considers that an observed zero may come from a point mass distribution at zero or from the negative binomial model. The likelihood function is utilized to compute not only some Bayesian model selection measures, but also to develop Bayesian case-deletion influence diagnostics based on q-divergence measures. The approach can be easily implemented using standard Bayesian software, such as WinBUGS. The performance of the proposed method is evaluated with a simulation study. Further, a real data set is analyzed, where we show that ZINB regression models seems to fit the data better than the Poisson counterpart.     

Generalized Estimation of the BLUP in Mixed-Effects Models: A Comparison with ML and REML

The Best Linear Unbiased Predictor (BLUP) in mixed models is a function of the variance components and they are estimated using maximum likelihood (ML) or restricted ML methods. Nonconvergence of BLUP would occur due to a drawback of the standard likelihood-based approaches. In such situations, ML and REML either do not provide any BLUPs or all become equal. To overcome this drawback, we provide a generalized estimate (GE) of BLUP that does not suffer from the problem of negative or zero variance components, and compare its performance against the ML and REML estimates of BLUP. Simulated and published data are used to compare BLUP.     

Computation of Sharp Bounds on the Expected Value of a Supermodular Function of Risks with Given Marginals

We show that the rearrangement algorithm (RA) introduced in Puccetti and Rüschendorf (2012 Puccetti, G., Rüschendorf, L. (2012). Computation of sharp bounds on the distribution of a function of dependent risks. Journal of Computational and Applied Mathematics 236(7):1833–1840.[Crossref], [Web of Science ®] , [Google Scholar]) to compute distributional bounds can be used also to compute sharp lower and upper bounds on the expected value of a supermodular function of d random variables having fixed marginal distributions. Compared to the analytical methods existing in the literature the algorithm is widely applicable, more easily obtained and gives insight into the dependence structures attaining the bounds.     

A Comparison of the Performance of Phase II Simple Linear Profile Control Charts when Parameters are Estimated

The standard deviation of the average run length (SDARL) is an important performance metric in studying the performance of control charts with estimated in-control parameters. Only a few studies in the literature, however, have considered this measure when evaluating control chart performance. The current study aims at comparing the in-control performance of three phase II simple linear profile monitoring approaches; namely, those of Kang and Albin (2000), Kim et al. (2003), and Mahmoud et al. (2010). The comparison is performed under the assumption of estimated parameters using the SDARL metric. In general, the simulation results of the current study show that the method of Kim et al. (2003) has better overall statistical performance than the competing methods in terms of SDARL values. Some of the recommended approaches based solely on the usual average run length properties can have poor SDARL performance.     

Disability, social exclusion and the consequential experience of justiciable problems

In this article, we examine the situation of disabled people in England and Wales with regard to one specific aspect of social exclusion—experience of justiciable problems, and the potential effects such problems can have on their lives. Having defined 'disability', we examine how this fits within the wider dialogue on social exclusion issues. By analysing the results of the Legal Services Research Centre's (LSRC) periodic survey of justiciable problems, we find that disabled respondents were not only more likely to experience a problem, they also experienced more problems. Increased likelihood of a problem was observed in the majority of problem categories and particularly those relating to issues of social exclusion, such as housing and welfare benefits. This propensity to experience multiple problems can lead to a negative impact on the lives of long-term ill and disabled people.     

Human nature and economic policy: lessons for the transition economies

Both economic regulation in market economies and state ownership and control of the means of production in socialist economies have been interpreted as means of protecting people from economic exploitation by the owners of capital. In this paper, I argue against this interpretation, suggesting that both sets of institutions are more plausibly viewed as protecting people from destructive competition amongst themselves.     

Marketing the Damaged Self: The Construction of Identity in Advertisements Directed Towards People with HIV/AIDS

This paper explores the identities projected in advertisements directed towards HIV positive individuals and people with AIDS. Fifty such advertisements were collected from three popular American magazines for gay men over a period of seven months. Analysis of the ads reveals a paradoxical presentation of people with HIV/AIDS, which offers simultaneous conflicting images of hope and fear, power and weakness, innocence and guilt. An interactive sociolinguistic model through which this contradictory discourse might be understood is presented, drawing on Goffman's insights on stigma management and the presentation of the self in social interaction. Advertisements directed towards people with HIV/AIDS, it is suggested, present a contradictory discourse in which the advertisers are positioned as 'the wise', offering to mediate the conflicting identities of the stigmatized. The identity values enacted in this contradictory discourse are further measured against American conceptions of communication and the self as observed by Carbaugh and others. The possible consequences of these positionings on the roles made available to people with HIV/AIDS in the wider social context are discussed.     

Cultural pluralism and the future of American unity: the impact of illegal aliens

This paper explores the question of the impact of illegal migration on American unity and cultural pluralism in the US. Assuming that over time the descendants of undocumented workers now in the US will behave substantially like descendants of those who immigrate legally, the long-term impact of illegal migration barely will be noticeable provided it is reduced substantially in the future. The process of acculturation will work in the same way for both groups as it has for other ethnic groups in the past, given comparable levels of education and length of family residence in the US. The author takes special notice of the illegal migration of Spanish-speaking workers and hypothesizes that the behavior of their descendants will not differ from that of the descendants of other immigrants, legal or illegal, in ways that disrupt fundamental patterns of American political unity and cultural pluralism.