Estimation of multivariate frailty models with varying coefficients

The complicated structures can be modeled more efficiently and their flexibility can be increased through frailty models with varying coefficients.Therefore, such models are proposed in this article. The real challenge is to estimate varying coefficients by the penalized partial likelihood without closed form. The Laplace approximation is used to solve this problem. These varying coefficients are fitted using B-splines. Moreover, the variances of random effects are estimated by maximizing an approximate profile likelihood. The performance of the proposed methods are assessed with simulation studies and real data. The results show that the methods proposed are better than the counterpart in literature.     

Divorce is a part of my life… Resilience, Survival, and Vulnerability: Young Adults' Perception of the Implications of Parental Divorce

A qualitative study among 22 young adults (20–25 years old) whose parents divorced during their childhood was conducted in Israel, using semi-structured, in-depth, open-ended interviews. Qualitative data analysis led to identification of three profiles, aiming at a grounded theoretical conceptualization. Three core themes were identified: the centrality of the family; short- and long-term implications of parental divorce and its relations to supportive coping resources; and perspective at young adulthood. Further analysis led to typifying participants by three profiles, which represent the grounded theoretical conceptualizations: resilience, survival, and vulnerability. The most prominent difference among the profiles was the relationships between participants and their parents, and their perception of ongoing parental responsibility. A thorough discussion of the results and their implications for future research, theory development, and practice are presented.     

Acceptance sampling plans based on truncated life tests for weighted exponential distribution

Gupta and Kundu proposed a new class of weighted exponential distributions using the idea of Azzalini. In this article, we develop an acceptance sampling plan for the weighted exponential distribution under a truncated life test. For various acceptance numbers, consumer’s confidence levels and values of the ratio of the experimental time to the specified mean lifetime, the minimum sample size necessary to ensure a certain mean lifetime are obtained. The operating characteristic function values and the associated producer’s risks are also presented. A numerical example is provided to illustrate the acceptance sampling plan.     

Designing of a control chart using belief statistic for exponential distribution

A new control chart is proposed by using the belief statistic for the exponential distribution. The structure of the proposed control chart is given to measure the average run length for the shifted process. The comparison of the proposed chart is given with the existing charts in terms of the average run lengths, which shows the outperformance of the proposed chart. The performance of the proposed control chart is also discussed with the help of simulated data.     

BAYESIAN TEST OF HYPOTHESIS IN THE MULTINOMIAL DISTRIBUTION

For Dirichlet priors in a multinomial distribution the Bayesian test of a simple hypothesis parallels the Bartlett test of homogeneity of variances in normal samples. This parallelism enables a correction factor to be developed for a particular test statistic along the lines of Bartlett's correction. The performance of the corrected test statistic is studied numerically.     

A heuristic algorithm for the m-machine,n-job flow-shop sequencing problem

In a general flow-shop situation, where all the jobs must pass through all the machines in the same order, certain heuristic algorithms propose that the jobs with higher total process time should be given higher priority than the jobs with less total process time. Based on this premise, a simple algorithm is presented in this paper, which produces very good sequences in comparison with existing heuristics. The results of the proposed algorithm have been compared with the results from 15 other algorithms in an independent study by Park [13], who shows that the proposed algorithm performs especially well on large flow-shop problems in both the static and dynamic sequencing environments.     

Money Matters: Young Adults’ Perception of the Economic Consequences of their Parents’ Divorce

A qualitative study examined the perceptions of 22 Israeli young adults (ages 20–25) of childhood parental divorce. Respondents discussed their experiences, including economic consequences of the divorce. Results related to the practical aspect of economic decline, to economic issues as embodiment of parental conflicts, and to children’s emotional and practical roles connected to economic changes. Children’s understanding and coping with financial issues are related to three profiles of overall adjustment identified in this study—resilience, survival, and vulnerability. Resilient young adults interpreted as empowering their understanding and coping; the survivors recognized their efforts as meaningful but burdensome; and vulnerable participants felt that economic changes caused a heavy financial and emotional price. Limitations and implications are discussed.