Transmuted generalized exponential distribution: A generalization of the exponential distribution with applications to survival data

In this article, we investigate the potential usefulness of the three-parameter transmuted generalized exponential distribution for analyzing lifetime data. We compare it with various generalizations of the two-parameter exponential distribution using maximum likelihood estimation. Some mathematical properties of the new extended model including expressions for the quantile and moments are investigated. We propose a location-scale regression model, based on the log-transmuted generalized exponential distribution. Two applications with real data are given to illustrate the proposed family of lifetime distributions.     

Designing a multiple state repetitive group sampling plan based on the coefficient of variation

A multiple state repetitive group sampling (MSRGS) plan is developed on the basis of the coefficient of variation (CV) of the quality characteristic which follows a normal distribution with unknown mean and variance. The optimal plan parameters of the proposed plan are solved by a nonlinear optimization model, which satisfies the given producer's risk and consumer's risk at the same time and minimizes the average sample number required for inspection. The advantages of the proposed MSRGS plan over the existing sampling plans are discussed. Finally an example is given to illustrate the proposed plan.     

Creating a Rebuttable Presumption of Profiling in Cases of Alleged Profiling of Muslims and Other Minorities in Canada

This paper addresses the subject of profiling in the Canadian context both in the narrower and broader senses. It discusses the close connection between wider discretionary power and profiling; the need and justification of rebuttable presumptions and its constitutional basis and discusses possible ways to end profiling in line with the contextual analysis of equality under s. 15 of the Canadian Charter of Rights and Freedoms. The paper proposes for the shift in the burden of proof away from a victim of profiling to the law enforcement authority—in an alleged case of profiling—in the context of a search, or an arrest, of a Canadian Muslim or member of other minorities by police and other law enforcement authorities, and demonstrating that such search or arrest was not motivated by race, religion, or ethnicity. Thus creating a rebuttable presumption of profiling against the law enforcement authority when they use their discretionary power in search or arrest of a member of a racial, religious, or ethnic minority group. A member of Canadian law enforcement authority against whom profiling is alleged can rebut the presumption by proving that race, religion, or ethnicity was not a factor in using their discretionary power to stop, search, or detain the alleged victim of profiling.     

Increment–Decrement Life Table Estimates of Happy Life Expectancy for the U.S. Population

Using large nationally representative longitudinal data on changes in happiness and mortality and multivariate increment–decrement life tables, we assess length of quality life through cohort estimates of happy life expectancies. We examine population-based and status-based life expectancies in absolute term of years and relative term of proportions. We find that happy life expectancies exceed unhappy life expectancies in both absolute and relative terms for the overall population and population in each state of happiness at any given age. Being happy (as opposed to unhappy) at any age brings a longer life and more of the future life spent in happiness. We also examine social differentials in the estimates of happy life expectancy at each age by sex, race, and education. The educational gap in happy life expectancies is larger than the sex and race gaps. For the better educated, longer life consists of a longer happy life and shorter unhappy life in both years and proportions and regardless of happy or unhappy status at any given age.     

Attitudes of Palestinian pre‐school teachers from Israel towards reporting of suspected cases of child abuse and neglect

The paper documents a study conducted among 225 Palestinian pre‐school teachers from Israel. Data were collected through a self‐administered questionnaire that examined the teachers’ attitudes towards reporting child abuse and neglect. In general, the participants’ attitudes towards reporting child abuse and neglect to the child protection services (CPS) were more positive than their attitudes towards reporting to the police. Willingness to report suspected cases of child sexual abuse to the police and CPS was higher than willingness to report other types of child abuse and neglect. Inconsistent results were revealed with regard to how awareness of reporting regulations and awareness of signs and risk factors for child maltreatment affect willingness to report to CPS and to the police. A comprehensive discussion of the possible relevance of the participants’ socio‐cultural and sociopolitical values to their attitudes towards reporting child abuse and neglect is presented. The implications of the results for future studies are also discussed.     

A BETA-OPTIMAL TEST OF THE EQUICORRELATION COEFFICIENT

This paper considers the problem of testing for nonzero values of the equicorrelation coefficient of a standard symmetric multivariate normal distribution. Recently, SenGupta (1987) proposed a locally best test. We construct a beta-optimal test and present selected one and five percent critical values. An empirical power comparison of SenGupta's test with two versions of the beta-optimal test and the power envelope shows the relative strengths of the three tests. It also allows us to assess and confirm Efron's (1975) rule of when to question the use of a locally best test, at least for this testing problem. On the basis of these results, we argue that the two beta-optimal tests can be considered as approximately uniformly most powerful tests, at least at the five percent significance level.     

MULTIVARLYTE ANALYSIS OF CLUSTERED SURVEY DATA: TESTING EQUALITY OF COVARLANCE MATRICES

The problem of testing the hypothesis of equality of covariance matrices in the presence of two-stage sampling is considered. Asymptotic test procedures based on linearization, grouping and jackknifing with or without transformation are proposed. The finite sample properties of these procedures are investigated in sampling experiments both from simulated known distributions and from a natural population.