Lp-norm spherical distribution

In this paper, the spherical distribution is generalized to the L_p-norm spherical distribution, S(n, p), through the stochastic representation. Then the form of its p.d.f. characterizing the S(n, p) distribution is derived. Marginal, conditional distributions and the moments of S(n, p) distribution are obtained. The order statistics and the invariance property of S(n,p) distribution are also investigated.     

Characterization theorems for some discrete distributions based on conditional structure

The joint distribution of (X,Y) is determined if the conditional expectation E {g(X)|Y = y} is given and the conditional distribution of Y|(X = x) is a conditional power series distribution, where g(·) is a function satisfying some minor conditions.     

Probability of ties and Markov property in discrete order statistics

It is well known that, in the continuous case, the probability that two consecutive order statistics are equal to zero, whereas it is not true when the distribution is discrete. It is, perhaps, for this reason that order statistics from discrete distributions has not been investigated in the literature as much as from a continuous distribution. The main purpose of this paper, therefore, is to obtain the probability of ties when the distribution is discrete. Also it is shown that, in the discrete case, the Markov property does not hold good. However, the order statistics from a geometric distribution forms a Markov chain.     

A new class of matrix variate elliptically contoured distributions

Summary A new class of matrix variate elliptically contoured distributions is defined. Properties of this class of distributions are studied. Examples of distributions which belong to this class are also presented. Rose-Hulman Institute of Technology Research supported by the FRC Major Grant, Bowling Grant, Bowling Green State University.     

A categorized bibliographic survey of goal programming

A total of 240 goal programming articles that have so far appeared in over 60 English journal publications are compiled and classified according to technique and application areas. Analysis of these data provides interesting insights regarding goal programming article characteristics, literature trends and future needs.     

Bayesian inference on P(X > Y) in bivariate Rayleigh model

In the literature, assuming independence of random variables X and Y, statistical estimation of the stress–strength parameter R = P(X > Y) is intensively investigated. However, in some real applications, the strength variable X could be highly dependent on the stress variable Y. In this paper, unlike the common practice in the literature, we discuss on estimation of the parameter R where more realistically X and Y are dependent random variables distributed as bivariate Rayleigh model. We derive the Bayes estimates and highest posterior density credible intervals of the parameters using suitable priors on the parameters. Because there are not closed forms for the Bayes estimates, we will use an approximation based on Laplace method and a Markov Chain Monte Carlo technique to obtain the Bayes estimate of R and unknown parameters. Finally, simulation studies are conducted in order to evaluate the performances of the proposed estimators and analysis of two data sets are provided.     

Circular versions of systematic sampling in the presence of linear trend

In this paper, an alternative approach was employed and derived the explicit expressions of sample mean and its variance for the circular and the diagonal circular systematic schemes since these expressions were unavailable in the existing literature. The study also found the corrected estimator of population mean and average variance under super-population model for these scheme. It further revealed that the circular systematic sampling almost performed better than that of the diagonal circular systematic sampling in both linear and auto-correlated super-population models.     

Gender Differences among Adolescents with Gambling-Related Problems

Data from five recent studies using self-reports were merged to explore gender differences in the characteristics of adolescent problem gambling, including comorbidity with other youth problems. The sample consisted of 2,750 male and 2,563 female participants. Male problem gamblers were more likely than females to report signs of psychological difficulties while females were more likely to note behavioural problems as a consequence of their gambling problems. Males and females with severe gambling problems had remarkably similar prevalence rates of depression, substance use and weekly gambling. In the non-problem gambling group, depression was more likely to afflict females whereas substance use and frequent gambling were more prevalent among males.