This note is concerned with the derivation of the distribution of a random variable X in terms of the distribution of Y given X, where X, Y are discrete random variables with finite support

The choice of the appropriate linear model before this can be used for planning and decision making, has been the concern of many statistical workers. Most of the methods in the literature aim at evaluating the descriptive ability of the candidate models. In the present paper an evaluation...

In this paper we construct thirteen different types of composite indices by linear combination of indicator variables (with and without outliers/data corruption). Weights of different indicator variables are obtained by maximization of the sum of squared (and, alternatively, absolute)...

Our objective in this paper is to compare the performance of the Differential Evolution (DE) and the Repulsive Particle Swarm (RPS) methods of global optimization. To this end, some relatively difficult test functions have been chosen. These functions are: Perm, Power-Sum, Bukin, Zero-Sum,...

Logarithmic spirals are abundantly observed in nature. Gastropods (such as nautilus, cowie, grove snail, thatcher, etc.) in the mollusca phylum have spiral shells, mostly exhibiting logarithmic spirals vividly. Spider webs show a similar pattern. The low-pressure area over Iceland and the...

In this paper we compare the performance of the Differential Evolution (DE) and the Repulsive Particle Swarm (RPS) methods of global optimization. To this end, seventy test functions have been chosen. Among these test functions, some are new while others are well known in the literature; some are...

Let {N(t), t0} be a homogeneous Poisson process with parameter λ=1. Let Z be a nonnegative random variable which is distributed independently of {N(t), t0} according to a mixed game distribution. Xekalaki and Panaretos (1988) showed that the form of F (the mixing distribution) is uniquely...

Consider two non-negative integer-valued r.v.'s X,Y with X=Y. Suppose that the conditional distribution of Y|X is binomial with parameters (n,p), n=0,1,2,...; 0 < p < 1 and p independent of n. It is known, and can be checked easily, that under the above assumption the distribution of Y is Poisson with parameter λp, λ>0 (Poisson(λp)) if and only if (iff) X is Poisson (λ). This model has been extensively used in the literature under different names...</p>

This paper considers a model where an original observation from a discrete distribution generates, according to a certain mechanism, another observation. A special case with the logarithmic series distribution as the original distribution and the Pascal distribution as the generating mechanism...

The increase of criminal activity worldwide calls for cooperation in order to combat crime. All over the world, scientists, including Statisticians, of many seemingly unrelated fields are cooperating in order to find methods to prevent or to reduce crime. In this paper we analyze Greek crime...