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.     

Empirical likelihood intervals for the population mean and quantiles based on balanced ranked set samples

We consider nonparametric interval estimation for the population mean and quantiles based on a ranked set sample. The asymptotic distributions of the empirical log likelihood ratio statistic for the mean and quantiles are derived. Interval estimates of the population mean and quantiles are obtained by inverting the likelihood ratio statistic. Simulations are carried out to investigate and compare the performance of the empirical likelihood intervals with other known intervals.     

Israeli education and the Apartheid in South Africa: ongoing insights

Focusing on education policy and politics in Israel, this essay examines how ethnic segregation is established and sheds light on the latest curricular developments that place a heavy emphasis on Jewish identity. The first part of the paper underscores the rising influence of the radical right in Israel and it’s political theology. The second part presents the Apartheid education in South Africa. In doing so, this part underscores the roles of segregation and religion in establishing a justificatory system that legitimises racial superiority and presents Apartheid education as ‘civilising’ and ‘modernising’. In the third part, the paper discusses how segregation and religious-ethnonationalism make up an apartheid-like reality in Israel, focusing on recent curricular policies. The final part presents concluding thoughts on racism and colonialism.     

Managing Organizational Paradoxes in Social Enterprises: Case Studies from the MENA Region

VOLUNTAS: International Journal of Voluntary and Nonprofit Organizations - This study aims to examine the question around how small- and medium-scale hybrid social enterprises within the context of...     

A New Weibull–Pareto Distribution: Properties and Applications

Many distributions have been used as lifetime models. In this article, we propose a new three-parameter Weibull–Pareto distribution, which can produce the most important hazard rate shapes, namely, constant, increasing, decreasing, bathtub, and upsidedown bathtub. Various structural properties of the new distribution are derived including explicit expressions for the moments and incomplete moments, Bonferroni and Lorenz curves, mean deviations, mean residual life, mean waiting time, and generating and quantile functions. The Rényi and q entropies are also derived. We obtain the density function of the order statistics and their moments. The model parameters are estimated by maximum likelihood and the observed information matrix is determined. The usefulness of the new model is illustrated by means of two real datasets on Wheaton river flood and bladder cancer. In the two applications, the new model provides better fits than the Kumaraswamy–Pareto, beta-exponentiated Pareto, beta-Pareto, exponentiated Pareto, and Pareto models.     

TESTING SYMMETRY USING A TRIMMED LONGEST RUN STATISTIC

A distribution‐free test is proposed for the symmetry of a continuous distribution about a specified median. The test is based on a longest run statistic on the upper portion of the sequence of ordered ‘centred’ observations in magnitude. The probability distribution of the longest run statistic is derived, and a computationally simple and accurate approximation of the right‐tail probabilities of this statistic is given. This approximation is based on a partial fraction expansion of the corresponding generating function and is derived for use with large samples. The powers of the proposed test, some variations of the test, and other rival tests are investigated under a wide variety of asymmetric alternatives. Simulations indicate that the proposed test is competitive with other tests in terms of power performance.