On the existence and uniqueness of the MLEs of the parameters of a general class of exponentiated distributions

In this paper, we present a formal simple proof for the existence and uniqueness of the maximum likelihood estimates (MLEs) of the parameters of a general class of exponentiated distributions. This class includes the exponentiated (general) exponential, exponentiated Rayleigh (scaled Burr X) and exponentiated Pareto distributions, as special cases, and thus the proof given here establishes the existence and uniqueness of the MLEs for these important special cases as well.     

Emotional intelligence and counterproductive work behavior: The mediating role of organizational climate

ABSTRACT

This research investigates the impact of emotional intelligence on counterproductive work behavior through examining the mediating role of organizational climate. Data were collected from 304 administrative employees working in nine private universities in Amman, Jordan. Validity and reliability tests were conducted using factor analysis and Cronbach’s alpha. Research hypotheses were tested through multiple regression analysis and structural equation modeling methods. Outcomes of the analysis indicate that there is a significant impact on the relationship between emotional intelligence and counterproductive work behavior. The research proposes several recommendations for managers to apply specifically in private universities, and/or in any type of sector in Amman- Jordan. It also laid the groundwork for future research.     

Inference for Type II bivariate Pólya–Aeppli distribution

In this article, we discuss the estimation of model parameters of the Type II bivariate Pólya–Aeppli distribution using the method of moments and the maximum likelihood method. We also compare some interval estimation methods. We then carry out a Monte Carlo simulation study to evaluate the performance of the proposed point and interval estimation methods. Finally, we present an example to illustrate all the inferential methods developed here.     

Children’s Deliberate Control of Facial Action Units Involved in Sad and Happy Expressions

Few attempts have been made since the pioneer work of Ekman et al. (1980) to examine the development of the deliberate control of facial action units in children. We are reporting here two studies concerned with this issue. In Study 1, we investigated children’s ability to activate facial action units involved in sadness and happiness expressions as well as combinations of these action units. In Study 2, we examined children’s ability to pose happiness and sadness with their face, without telling them which action unit to activate. The children who took part in this study were simply asked to portray happiness and sadness as convincingly as possible. The results of Study 1 indicate a strong developmental progression in children’s ability to produce elementary facial components of both emotions as well as in their ability to produce a combination of the elements in the case of happiness. In agreement with prior research in motor development, several non-target action units were also activated when children performed the task. Their occurrence persisted throughout childhood, indicating limitations in the finer motor control achieved by children across age. The results obtained in Study 2 paralleled those obtained in Study 1 in many respects, providing evidence that the children used the technique of deliberate action to pose the two target emotions.     

Marshall-Olkin extended weibull distribution and its application to censored data

In this paper we show that the Marshall-Olkin extended Weibull distribution can be obtained as a compound distribution with mixing exponential distribution. In addition, we provide simple sufficient conditions for the shape of the hazard rate function of the distribution. Moreover, we extend the considered distribution to accommodate randomly right censored data. Finally, application of the extended distribution to a data set representing the remission times of bladder cancer patients is given and its goodness-of-fit is demonstrated.     

A Proportional Hazard Marshall–Olkin Extended Family of Distributions and its Application to Gompertz Distribution

In this paper, we have presented a proportional hazard version of the Marshall–Olkin extended family of distributions. This family of distributions has been compared in terms of stochastic orderings with the Marshall-Olkin extended family of distributions. Considering the Gompertz distribution as the baseline, the monotonicity of the resulting failure rate is shown to be either increasing or bathtub, even though the Gompertz distribution has an increasing failure rate. The maximum likelihood estimation of the parameters has been studied and a data set, involving the serum–reversal times, has been analyzed and it has been shown that the model presented in this paper fit better than the Gompertz or even the Mrashall–Olkin Gompertz distribution. The extension presented in this paper can be used in other family of distributions as well.     

Nonparametric Tests for Comparing Several Coefficients of Variation

We consider the problem of comparing (k + 1) coefficients of variation. We are interested in testing the null hypothesis that the coefficients of variation are equal against each of the alternatives: (a) some populations have different coefficients of variation and (b) the coefficients of variation are ordered. Three nonparametric test statistics are proposed and their asymptotic theory is developed. We compared the proposed tests together with another parametric test using two Monte Carlo studies to estimate their probabilities of Type I error and powers. An illustration of the proposed tests using a real data set is given.