Estimation of noncentrality parameters

We propose some estimators of noncentrality parameters which improve upon usual unbiased estimators under quadratic loss. The distributions we consider are the noncentral chi-square and the noncentral F. However, we give more general results for the family of elliptically contoured distributions and propose a robust dominating estimator.     

A new two-parameter lifetime distribution with decreasing,increasing or upside-down bathtub-shaped failure rate

In this paper, we introduce a generalization of the Bilal distribution, where a new two-parameter distribution is presented. We show that its failure rate function can be upside-down bathtub shaped. The failure rate can also be decreasing or increasing. A comprehensive mathematical treatment of the new distribution is provided. The estimation by maximum likelihood is discussed, and a closed-form expression for Fisher’s information matrix is obtained. Asymptotic interval estimators for both of the two unknown parameters are also given. A simulation study is conducted and applications to real data sets are presented.     

Comparison of Interval Estimators of Pr(X < Y) in the Two-parameter Exponential Distribution

We consider confidence intervals for the stress–strength reliability Pr(X< Y) in the two-parameter exponential distribution. We have derived the Bayesian highest posterior density interval using non-informative prior distributions. We have compared its performance with the intervals based on the generalized pivot variable intervals in terms of their coverage probabilities and expected lengths. Our simulation study shows that the Bayesian interval performs better according to the criteria used, especially when the sample sizes are very small. An example is given.     

Psychological well-being and general health of Jordanian university students

Assessment of individuals' psychological well-being and mental health is an important aspect of health promotion. The purpose of this study was to examine the relationship between perception of psychological well-being and general health report among Jordanian university students. A total of 1108 students from six universities in Jordan were surveyed regarding psychological well-being and general health. The results showed that students perceived their psychological well-being as moderate. Psychological wellbeing subscales were negatively correlated with reports of physical pain, chronic infections, and previous or current treatment of a psychiatric illness. Male and female university students were similar in their perceptions of psychological well-being; however, they differed in their general health report. Perception of psychological well-being is an important component of university students' health. The importance of psychological well-being is highlighted, and implications for mental health nurses are presented.     

Construction of bivariate and multivariate weighted distributions via conditioning

Weighted distributions (univariate and bivariate) have received widespread attention over the last two decades because of their flexibility for analyzing skewed data. In this article, we propose an alternative method to construct a new family of bivariate and multivariate weighted distributions. For illustrative purposes, some examples of the proposed method are presented. Several structural properties of the bivariate weighted distributions including marginal distributions together with distributions of the minimum and maximum, evaluation of the reliability parameter, and verification of total positivity of order two are also presented. In addition, we provide some multivariate extensions of the proposed models. A real-life data set is used to show the applicability of these bivariate weighted distributions.     

Islamic Jurisprudence of Minorities (Fiqh al-Aqalliyyat): The Case of the Palestinian Muslim Minority in Israel

This article examines the doctrine of Jurisprudence of Muslim Minorities (Fiqh al-Aqalliyyat) in the context of the Palestinian Muslim community in Israel. The first part discusses the origins and goals of Fiqh al-Aqalliyyat. After outlining the particular historical and political context of the Palestinian minority in Israel, the article focuses on the ethno-religious political mobilization developed by the Muslim community vis-à-vis the state’s strategies of control and domination, and points out the difficulties involved in the application of Fiqh al-Aqalliyyat, as used in “Western” states, for the reality that Muslims face in Israel. The article suggests a vigilant approach toward the Jurisprudence of Minorities, as we argue that, when applying it in this context of the Muslim community in Israel, this doctrine has two substantial limitations. The first is theoretical and it concerns the doctrine’s current incapability to distinguish between different types of minorities, as well as failing to recognize a difference between various political regimes and societal lives that might be inherently less or more accommodating or even hostile to minorities, and Muslim minority communities in particular. The second limitation relates to the political dimension and the lack of consideration for the status of the Palestinian minority as an indigenous and national minority and not an immigrant minority. Their status as national minorities, at times also as indigenous peoples, who are perceived as entitled to group-based “self-government rights”, poses a serious challenge to this doctrine’s scope and viability.     

On shrinkage m-estimators of location parameters

For a general class of continuous ( and marginally symmetric ) inultivariate distributions, based on suitable M-statistics ( involving bounded but possibly discontinuous score generating functions), shrinkage estimators of location are considered. These estimators are based on the James-Stein type rule and incorporates the idea of preliminary test estimation too. The main emphasis is laid on the study of asymptotic tdistributional ) risk properties of these est-innators, and asymptotic tin-) adraissibility results are also studied under fairly general regularity conditions.     

On shrinkage least squares estimation in a parallelism problem

In a multi-sample simple regression model, generally, homogeneity of the regression slopes leads to improved estimation of the intercepts. Analogous to the preliminary test estimators, (smooth) shrinkage least squares estimators of Intercepts based on the James-Stein rule on regression slopes are considered. Relative pictures on the (asymptotic) risk of the classical, preliminary test and the shrinkage least squares estimators are also presented. None of the preliminary test and shrinkage least squares estimators may dominate over the other, though each of them fares well relative to the other estimators.     

Recovery of inter-block information: extensions in a two variance component model

For a two variance component mixed linear model, it is shown that under suitable conditions there exists a nonlinear unbiased estimator that is better than a best linear unbiased estimator defined with respect to a given singular covariance matrix. It is also shown how this result applies to improving on intra-block estimators and on estimators like the unweighted means estimator in a random one-way model.