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...

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>

We present a restriction on the domain of individual preferences that is both necessary and sufficient for the existence of a social choice rule that is continuous, anonymous, and respects unanimity. The restriction is that the space of preferences be contractible. Contractibility admits a...

In this paper I describe certain results that were obtained in the UNITAR project based on a model I have specified for studying the relationship between international terms of trade and domestic income distributions of the exporting countries within the South. In particular, I shall concentrate...

We study properties of the solutions to a parametrized constrained optimization problem in Hilbert spaces. A special operator is studied which is of importance in economic theory; sufficient conditions are given for its existence, symmetry, and negative semidefiniteness. The techniques used are...

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...

In this paper, an evaluation method is suggested for selecting one of two competing models based on certain predictive ability ratings. The main focus is on the case of linear models that are not necessarily nested. In the context of such models, the test procedure is based on a sample statistic...