The relationship Y=RX between two random variables X and Y, where R is distributed independently of X in (0,1), is known to have important consequences in different fields such as income distribution analysis, inventory decision models, etc.In this paper it is shown that when X and Y are...

The univariate generalized Waring distribution (UGWD) was derived by Irwin [1968, 1975, Journal of the Royal Statistical Society, Series A 131, 205-225 and 138, 18-31 (Part I), 204-227 (Part II), 374-384 (Part III)] as the distribution of accidents of an quot;accident pronequot; population...

This paper is concerned with the study of models that generate the bivariate generalized Waring distribution. Urn, mixing, conditionality, STER and exceedance models are considered as well as models based on the structural properties of the distribution. The ibariate generalized Waring...

The Yule distribution is shown to have certain interesting properties in the area of regression analysis. In particular, it is shown that under certain conditions, a random variable Z will have linear regressions on another random variable X and on its observable part Y only when X has a Yule...

In this paper it is shown that generalized Waring distributions (univariate and bivariate) can be determined uniquely from knowledge on the form of certain conditional distributions and some appropriately chosen regression functions

The bivariate generalized Waring distribution results as a mixture of the double Poisson distribution. In this paper some probability models are considered that give rise to alternative bivariate forms of the generalized Waring distribution

In the context of accident theory, the bivariate generalized Waring distribution (Xekalaki, 1984) is known to offer the possibility of obtaining distinguishable estimates of the quot;contributionquot; of chance, risk exposure and proneness to an accident situation. In this paper an estimation...

An inventory decision model is considered whereby the demand for the item, the stock in hand and the lead time period are considered to be random variables. The interrelationships of these three item characteristics are then studied in the framework of a scheme for deciding when to place an...

Among the process capability indices considered in the literature, Cpm is one of the most widely used, despite the fact that its performance often becomes unsatisfactory in the case of processes with asymmetric specifications, i.e., processes whose target value is not located at the midpoint of...

Mixed Poisson distributions have been used in a wide range of scientific fields for modelling non-homogeneous populations. This paper aims at reviewing the existing literature on Poisson mixtures by bringing together a great number of properties, while, at the same time, providing tangential...