The Poisson-X family of distributions

ABSTRACT

Recently, Risti? and Nadarajah [A new lifetime distribution. J Stat Comput Simul. 2014;84:135–150] introduced the Poisson generated family of distributions and investigated the properties of a special case named the exponentiated-exponential Poisson distribution. In this paper, we study general mathematical properties of the Poisson-X family in the context of the T-X family of distributions pioneered by Alzaatreh et al. [A new method for generating families of continuous distributions. Metron. 2013;71:63–79], which include quantile, shapes of the density and hazard rate functions, asymptotics and Shannon entropy. We obtain a useful linear representation of the family density and explicit expressions for the ordinary and incomplete moments, mean deviations and generating function. One special lifetime model called the Poisson power-Cauchy is defined and some of its properties are investigated. This model can have flexible hazard rate shapes such as increasing, decreasing, bathtub and upside-down bathtub. The method of maximum likelihood is used to estimate the model parameters. We illustrate the flexibility of the new distribution by means of three applications to real life data sets.     

Marriage and gender inequality: work–family arrangements of Portuguese and British highly qualified women

This article examines work–family reconciliation processes in order to understand if, over the course of marital life, women become socially closer or further away from their partner. Drawing on work–life interviews with highly qualified women in Portugal and Britain, we compare these processes in two societies with different historical and social backgrounds. Findings reveal three main configurations of social (in)equality which emerge during married life: growing inequality in favour of the man, in favour of the woman or equality between spouses. With due attention to the importance of national specific factors, we present three main conclusions. First, (in) equality is built up over the course of marital life and female strategies for reconciling family and work are at the core of this process. Second, the national specificities can mould the effects of cross-national gender mechanisms. Third, the intersection between cross-cultural phenomena such as conservative attitudes towards domestic work and national specificities (such as the availability of part-time options) is a rather complex process which needs further research.     

Empirical Bayes estimation in continuous one-parameter exponential families under associated samples

In this paper, we study the empirical Bayes (EB) estimation in continuous one-parameter exponential families under negatively associated (NA) samples and positively associated (PA) samples. Under certain regularity conditions, it is shown that the convergence rates of proposed EB estimators under NA or PA samples are the same as those of EB estimators under independent observations, which significantly improve the existing results in EB estimation under associated samples.     

Access to justice for Aboriginal People in the Northern Territory

This article discusses research in the Northern Territory on Aboriginal civil and family law needs. It is based on focus group discussions and interviews with legal services providers and other associated organisations. The article argues that key areas of legal need involve discrimination, housing, child protection, social security, credit/debt and consumer law problems. It further argues that welfare conditionality, particularly as embodied in the NT Intervention and subsequent Stronger Futures policies, has exacerbated the need for legal assistance and advocacy for Aboriginal people.     

浅析里克纳家庭品格教育理论及其启示

本文对里克纳《美式家庭:品质教育家长对策》一书阐述的理论及其启示加以论述。     

Who owns the trauma? A Kleinian perspective on the dialogue between child protection social workers and the media

The present paper makes use of the developmental model of movement between mental positions that was formulated by psychoanalyst Melanie Klein, aimed at understanding the dialogue that takes place between the media and social workers in the field of child welfare, centring around incidents of murder within the family. The basic concept in the paper is that when working with children who are victims of abuse and with their parents, and when reporting on them as well, the feeling of personal control is severely undermined, being associated with the loss of the hallowed social value known as ‘unconditional love of a parent for his child’. The paper illustrates these theoretical ideas by describing two cases that took place in Israel and recommendations are made regarding ways of promoting the dialogue between the professions.     

On the Nearness of Records to Population Quantiles with Respect to Order Statistics in the Sense of Pitman Closeness

In this paper, Pitman closeness criterion is used to compare the nearness of record values and order statistics from two independent samples to a specific population quantile of the parent distribution while the underlying distributions are the same. General expressions for the associated Pitman closeness probability are obtained when the support of the parent distribution is bounded and also unbounded. Some distribution-free results are achieved for symmetric distributions. The exponential and uniform distributions are considered for illustrative proposes and exact expressions are obtained in each case.     

Marginal zero-inflated regression models for count data

Data sets with excess zeroes are frequently analyzed in many disciplines. A common framework used to analyze such data is the zero-inflated (ZI) regression model. It mixes a degenerate distribution with point mass at zero with a non-degenerate distribution. The estimates from ZI models quantify the effects of covariates on the means of latent random variables, which are often not the quantities of primary interest. Recently, marginal zero-inflated Poisson (MZIP; Long et al. [A marginalized zero-inflated Poisson regression model with overall exposure effects. Stat. Med. 33 (2014), pp. 5151–5165]) and negative binomial (MZINB; Preisser et al., 2016) models have been introduced that model the mean response directly. These models yield covariate effects that have simple interpretations that are, for many applications, more appealing than those available from ZI regression. This paper outlines a general framework for marginal zero-inflated models where the latent distribution is a member of the exponential dispersion family, focusing on common distributions for count data. In particular, our discussion includes the marginal zero-inflated binomial (MZIB) model, which has not been discussed previously. The details of maximum likelihood estimation via the EM algorithm are presented and the properties of the estimators as well as Wald and likelihood ratio-based inference are examined via simulation. Two examples presented illustrate the advantages of MZIP, MZINB, and MZIB models for practical data analysis.     

Eliciting children’s recall regarding home life and relationships

Abstract

Child interviews form an important component of custody evaluations. Yet, research on children’s responses to questions about home life and relationships is lacking. In the present study, children (N?=?47) aged 6 to 10?years were interviewed about their daily routines and family relationships. Responses to four categories of questions were compared: open and specific questions about routines, and negative and positive aspects of family relationships. Responses were coded for amount of information, informativeness, topic pertinence, and refusals to answer. Results suggested that questions about everyday routines and relationships elicit relevant and informative responses from children. It is suggested that interviewers begin with open-ended questions regarding daily routines to structure family law interviews with children.     

Financial journeys of Australian parents after separation – transitions into and out of poverty

It is well established that relationship separation has greater negative economic consequences for mothers than for fathers in Australia and other developed countries. While research has shown that, at an aggregate level, such negative impacts tend to diminish with time, the rate of change is generally slower for mothers than fathers, and a higher proportion of mothers than fathers continue to experience entrenched financial difficulties. Less is known about the variability of economic journeys experienced by women and men, taken separately, and factors influencing diverse economic trajectories. Drawing on data from the Longitudinal Study of Separated Families (LSSF), which followed up a large sample parents at three post‐separation points, this article examines poverty rates across a 4‐year period, transitions into and out of poverty and factors affecting these pathways.