Probability characteristics of random allocations of particles into cells in polynomial-type schemes
type: Item
instance of: scholarly article
title: Probability characteristics of random allocations of particles into cells in polynomial-type schemes
zbMATH Open document ID: 0915.60009
author: Ya. M. L'vovskij
published in: Journal of Mathematical Sciences (New York)
publication date: 1998-11-24T00:00:00Z
review text: The author considers so-called decomposable statistics, that is sums of the form \(\mu_r(n)=\sum_{h=1}^N g_h(x_h)\), where \(g_h(x)=1\) if \(x=r\), \(g_h(x)=0\) otherwise, and \(x_1,\ldots,x_N\) are nonnegative integer-valued random variables of the so-called polynomial type. Properties of decomposable statistics such as distributions, moments and characteristic functions are obtained.
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 1213185
zbMATH Keywords: polynomial-type distribution
zbMATH Keywords: decomposable statistics
reviewed by: Jean-Claude Massé
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1213185