A discrete-time risk model with Poisson ARCH claim-number process

Abstract

In this paper, we propose a discrete-time risk model with the claim number following an integer-valued autoregressive conditional heteroscedasticity (ARCH) process with Poisson deviates. In this model, the current claim number depends on the previous observations. Within this framework, the equation for finding the adjustment coefficient is derived. Numerical studies are also carried out to examine the impact of the Poisson ARCH dependence structure on the ruin probability.     

Mortality among elder abuse victims in rural Malaysia: A two-year population-based descriptive study

Our study aims at describing mortality among reported elder abuse experiences in rural Malaysia. This is a population-based cohort study with a multistage cluster sampling method. Older adults in Kuala Pilah (n = 1,927) were interviewed from November 2013 to May 2014. Mortality was traced after 2 years using the National Registration Department database. Overall, 139 (7.2%) respondents died. Fifteen (9.6%) abuse victims died compared to 124 (7.0%) not abused. Mortality was highest with financial abuse (13%), followed by psychological abuse (10.8%). There was a dose-response relationship between mortality and clustering of abuse: 7%, 7.7%, and 14.0% for no abuse, one type, and two types or more, respectively. Among abuse victims, 40% of deaths had ill-defined causes, 33% were respiratory-related, and 27% had cardiovascular and metabolic origin. Results suggest a link between abuse and mortality. Death proportions varied according to abuse subtypes and gender.     

Career Adaptability,Self‐Esteem,and Social Support Among Hong Kong University Students

Career adaptability manifests itself through 4 self‐regulated internal resources for coping with occupational challenges and transitions: concern, control, curiosity, and confidence. Few studies have examined career adaptability specifically in the Hong Kong context. The Career Adapt‐Abilities Scale–China Form (CAAS‐China; Hou, Leung, Li, Li, & Xu, 2012 ) was administered, along with measures of self‐esteem and social support, to 522 Hong Kong Chinese undergraduate students. Results indicated that the CAAS‐China is a reliable and valid instrument for use with these students. Data also showed that self‐esteem was strongly associated with career adaptability, and this relationship was partially mediated by perceived social support. Implications for careers counseling in universities and colleges are discussed.     

Validation of the Career‐Related Parent Support Scale Among Chinese High School Students

The Career‐Related Parent Support Scale (CRPSS; Turner, Alliman‐Brissett, Lapan, Udipi, & Ergun, 2003 ) was translated and modified to form the 24‐item Chinese version of the scale. As in the case of the original CRPSS, the Chinese version includes 4 subscales (Instrumental Assistance, Emotional Support, Verbal Encouragement, and Career‐Related Modeling). The Chinese version of the CRPSS was validated in this study with a sample of Hong Kong high school students (N= 677). Reliability analyses showed that the total scale and subscales were internally consistent. The results of the exploratory factor analysis and confirmatory factor analysis suggested that the Chinese version of the CRPSS provided adequate indicators of Chinese adolescents’ perceptions of parent support for their career aspirations.     

A more generalized stirling distribution of the second kind

A more generalized stirling distribution of the second kind (MGSDSK) is introduced in this paper as the distribution of the sum of the independent but not identically distributed left truncated Poisson variables. Properties of MGSDSK are studied. The recursion relation and decomposition of MGSDSK are obtained. The rth moment is also found and a new recurrence relationship for them are given. A new incomplete exponential function is utilized in the derivations. A MVU estimate of the p, d, f. of MGSDSK is obtained.     

A bivariate density estimation method based on level crossings

This article introduces a method of nonparametric bivariate density estimation based on a bivariate sample level crossing function, which leads to the construction of a bivariate level crossing empirical distribution function (BLCEDF). An efficiency function for this BLCEDF relative to the classical empirical distribution function (EDF), is derived. The BLCEDF gives more efficient estimates than the EDF in the tails of any underlying continuous distribution, for both small and large sample sizes. On the basis of BLCEDF we define a bivariate level crossing kernel density estimator (BLCKDE) and study its properties. We apply the BLCEDF and BLCKDE for various distributions and provide results of simulations that confirm the theoretical properties. A real-world example is given.     

A comparison of balancing scores for estimating rate ratios of count data in observational studies

In this article, we conduct a Monte Carlo study to examine four balancing scores (BS1: propensity score, BS2: prognostic score, BS3: adjusted propensity score estimated by the estimated prognostic score, and BS4: adjusted propensity score estimated by the estimated prognostic score and other covariates) for adjusting bias in estimating the marginal and the conditional rate ratios of count data in observational studies. Simulation results show that BS1–BS4 are not much different in terms of estimating the marginal and the conditional rate ratios, however, choosing the appropriate matching algorithm is more important than selecting a balancing scores.