Multivariate distributions defined in terms of contours

The paper deals with the problem of using contours as the basis for defining probability distributions. First, the most general probability densities with given contours are obtained and the particular cases of circular and elliptical contours are dealt with. It is shown that the so-called elliptically contoured distributions do not include all possible cases. Next, the case of contours defined by polar coordinates is analyzed including its simulation and parameter estimation. Finally, the case of cumulative distribution functions with given contours is discussed. Several examples are used for illustrative purposes.     

A comparative analysis of public sector restructuring in the U.S., Canada, Mexico, and the Caribbean

We examine public sector restructuring in North America and selected Commonwealth Caribbean nations. Although all the countries studied experienced significant restruc-turing in response to public debt pressures, there were major differences across coun-tries in the magnitude, pace, form, and the manner in which restructuring decisions were made. These differences reflect the state of economic development and institu-tional characteristics, e.g., the role of the state and the industrial relations system. In developing countries, international lending institutions played a major role in trans-forming the role of the state. In developed countries, the inherent stability of the eco-nomic systems and institutional pressures led to a gradualist approach to restructuring.     

Social mobility and demand for redistribution in Europe: a comparative analysis

The literature on preferences for redistribution has paid little attention to the effect of social mobility on the demand for redistribution and no systematic test of the hypotheses connecting social mobility and preferences for redistribution has yet been done to date. We use the diagonal reference model to estimate the effect of origin and destination classes on preferences for redistribution in a large sample of European countries using data from the European Social Survey. Our findings are consistent with the logic of acculturation in the sense that newcomers tend to adapt their views to those of the destination class at early stages and that upward and downward mobility do not have distinctive effects on the formation of political preferences. However, even though social origins seem to have a limited impact on preferences for redistribution, the evidence does not support the hypothesis that mobile and non‐mobile individuals are alike. We also find that the effect of social origin on preferences varies largely across countries. The empirical evidence leads to the conclusion that the effect of social origin on preferences for redistribution increases in contexts of strong familism.     

The Role of the Government in Addressing Social Issues in India: The Perceptions of Indian Undergraduate and Graduate Social Work Students

Using a convenience sample of 318 undergraduate and graduate social work students (193 women and 125 men) from a public university in India, this study examined the differences between Indian social work students' perceptions toward the role of government in addressing social issues in India. Using Predictive Analytics Software (PASW) 18, several statistical procedures were conducted to analyze the relationship between social work students' demographic variables and their perceptions of the government's role in addressing social issues in India. The results indicated that older social work students were more likely to perceive that the government should ensure equal opportunities for citizens. Female social work students were more likely to perceive that the government should ensure housing for citizens. BSW students were more likely to perceive that the government should ensure employment of citizens. Macro social work students were more likely to perceive that the government should ensure equal opportunities, housing, food, employment, and health insurance for citizens. The findings of this study may help social work educational administrators and faculty in India to develop a curriculum that provides social work students with the opportunity to critically examine the complex relationship between age, gender, marital status, number of children, socioeconomic status, educational status, area of concentration, and the role of the government in addressing social issues. Doing so will prepare social work students and professionals to think and engage in a manner that will allow them to challenge and advocate for a change to the status quo.     

A study of Bayesian local robustness with applications in actuarial statistics

Local or infinitesimal Bayesian robustness is a powerful tool to study the sensitivity of posterior magnitudes, which cannot be expressed in a simple manner. For these expressions, the global Bayesian robustness methodology does not seem adequate since the practitioner cannot avoid using inappropriate classes of prior distributions in order to make the model mathematically tractable. This situation occurs, for example, when we compute some types of premiums in actuarial statistics in order to fix the premium to be charged to an insurance policy. In this paper, analytical and simple expressions that allow us to study the sensitivity of premiums, which are usually used in automobile insurance are provided by using the local Bayesian robustness methodology. Some examples are examined by using real automobile claim insurance data.     

Epsilon Birnbaum–Saunders distribution family: properties and inference

In this paper we introduce a new extension for the Birnbaum–Saunder distribution based on the family of the epsilon-skew-symmetric distributions studied in Arellano-Valle et al. (J Stat Plan Inference 128(2):427–443, 2005). The extension allows generating Birnbaun–Saunders type distributions able to deal with extreme or outlying observations (Dupuis and Mills, IEEE Trans Reliab 47:88–95, 1998). Basic properties such as moments and Fisher information matrix are also studied. Results of a real data application are reported illustrating good fitting properties of the proposed model.     

An Exponential Model for Damage Accumulation

In this article, we present a general model for predicting the fatigue behavior for any stress level and amplitude using the exponential model. Based on the Wöhler field for fixed stress level, a compatibility functional equation enables us to derive the general model with eight parameters. The problem of parameter estimation is then discussed and some methods are described. Some examples are finally presented to illustrate the derived model and the proposed methods of estimation.     

Stages of change and engagement in a family intervention

Prochaska and DiClemente's stages of change model facilitate understanding of engagement difficulties in psychosocial intervention processes. We assessed the link between stages of family change and intervention dropout in a sample of 141 families with relational conflicts between parents and adolescent children. Each family member's stage of change was defined according to three criteria: seeing the conflict as a relational problem, assuming part of the responsibility for the dysfunctional relationship, and understanding one's own mental and emotional states and those of the other family members involved in the conflict (mentalization). Our dropout rate for the sample was 41.8% and was higher for immigrant families. We found a strong association between engagement and the contemplation stage of change, particularly the mother's. In family conflict interventions, participation of all the family members is essential so as raise awareness of the relational aspects of the conflict and the shared responsibility for the conflict and its resolution.     

Application of the Hyper‐Poisson Generalized Linear Model for Analyzing Motor Vehicle Crashes

The hyper‐Poisson distribution can handle both over‐ and underdispersion, and its generalized linear model formulation allows the dispersion of the distribution to be observation‐specific and dependent on model covariates. This study's objective is to examine the potential applicability of a newly proposed generalized linear model framework for the hyper‐Poisson distribution in analyzing motor vehicle crash count data. The hyper‐Poisson generalized linear model was first fitted to intersection crash data from Toronto, characterized by overdispersion, and then to crash data from railway‐highway crossings in Korea, characterized by underdispersion. The results of this study are promising. When fitted to the Toronto data set, the goodness‐of‐fit measures indicated that the hyper‐Poisson model with a variable dispersion parameter provided a statistical fit as good as the traditional negative binomial model. The hyper‐Poisson model was also successful in handling the underdispersed data from Korea; the model performed as well as the gamma probability model and the Conway‐Maxwell‐Poisson model previously developed for the same data set. The advantages of the hyper‐Poisson model studied in this article are noteworthy. Unlike the negative binomial model, which has difficulties in handling underdispersed data, the hyper‐Poisson model can handle both over‐ and underdispersed crash data. Although not a major issue for the Conway‐Maxwell‐Poisson model, the effect of each variable on the expected mean of crashes is easily interpretable in the case of this new model.