We consider a general two-color urn model characterized by a 2x2 matrix of integerswithout constraints on the values of these four integers other than non-negativity. Exact distributions of the number of balls of a specific color that appear after n draws are presented. Via Poissonization, we...

Linnik distribution with the characteristic function [phi][alpha](t)=1/(1+t[alpha]), 0[alpha]2, is shown to possess the following property. Let X[alpha],X[beta] be random variables possessing the Linnik distribution with parameters [alpha] and [beta] respectively (0 [alpha] [beta]...

In this paper, we introduce center-similar multivariate distributions (CSDs) based on the vertical density representation theory. A number of families of CSDs are constructed and related statistical problems are briefly examined.

Process capability indices (PCIs), Cp, Ca, Cpk, Cpm, and Cpmk have been developed in certain manufacturing industry as capability measures based on various criteria, including process consistency, process departure from a target, process yield, and process loss. It is noted in certain recent...

Purchase frequency modeling began with the pioneering work of Ehrenberg [Ehrenberg, A.S.C., 1959. The pattern of consumer purchases. Applied Statistics 8, 26-41]. This note provides an extension of this work. A collection of some seventeen flexible distributions is discussed for purchase...

Two new distributions which contain several of the known generalizations of the beta distribution as particular cases are introduced. Various structural properties of each distribution are derived, including its cdf, moment generating function, characteristic function, moments, mean deviation...

Following the recent paper by Gupta et al. (Some skew-symmetric models. Random Operators Stochastic Equations 10 (2002) 133) we generate skew probability density functions (pdfs) of the form 2f(u)G([lambda]u), where f is taken to be a normal pdf while the cumulative distributive function G is...