The purpose of the Institute of Mathematical Statistics (IMS) is to foster the development and dissemination of the theory and applications of statistics and probability. The Institute was formed at a ...

1 Department of Economics, Georgia State University, Atlanta, GA, USA. 2 Department of Economics, Simon Fraser University, Burnaby, Canada. 3 Department of Mathematics and Statistics, York University, ...

The range of correlation coefficient of any bivariate discrete random vector with finite or countably infinite values is derived. We show analytically that the normal-transformed discrete bivariate ...

In probability theory and statistics, the concept of a random variable is a foundational tool that helps bridge abstract probabilities with concrete, measurable values. A random variable is ...

Abstract: Novel single-integral representations for the bivariate probability density function and cumulative distribution function of two correlated Rician random variables are derived. The solutions ...

In this paper, a new bivariate discrete generalized exponential distribution, whose marginals are discrete generalized exponential distributions, is studied. It is observed that the proposed bivariate ...

We consider a bivariate normal distribution with linear correlation [Formula: see text] whose random components are discretized according to two assigned sets of thresholds. On the resulting bivariate ...

ABSTRACT: In this paper we consider a sequence of Markov dependent bivariate trials whose each component results in an outcome success (0) and failure (1) i.e. we ...