Treffer: Usefulness of Asymptotic Distributions in the Classical Occupancy Problem

Title:
Usefulness of Asymptotic Distributions in the Classical Occupancy Problem
Authors:
PEPPLE WILLIAMSON, Patricia
Source:
Communications in statistics. Simulation and computation. 41(8-10):1501-1517
Publisher Information:
Colchester: Taylor & Francis, 2012.
Publication Year:
2012
Physical Description:
print, 1/4 p
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Probabilités et statistiques, Probability and statistics, Statistiques, Statistics, Lois de probabilités, Distribution theory, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Probabilités et statistiques numériques, Numerical methods in probability and statistics, Approximation, Aproximación, Distribution aléatoire, Random distribution, Distribución aleatoria, Distribution statistique, Statistical distribution, Distribución estadística, Loi discrète, Discrete distribution, Ley discreta, Méthode statistique, Statistical method, Método estadístico, Simulation numérique, Numerical simulation, Simulación numérica, Théorie approximation, Approximation theory, Variable aléatoire, Random variable, Variable aléatoria, 62E17, 62E20, Loi asymptotique, Classical occupancy problem, Stirling numbers of the second kind, Total variation distance
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
Statistics Department, Case Western Reserve University, Cleveland, Ohio, United States
ISSN:
0361-0918
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=26164004
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.26164004
Database:
PASCAL Archive

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Approximations to the distribution of a discrete random variable originating from the classical occupancy problem are explored. The random variable X of interest is defined to be how many of N elements selected by or assigned to K individuals when each of the N elements is equally likely to be chosen by or assigned to any of the K individuals. Assuming that N represents the number of cells and each of the K individuals is placed in exactly one of the cells, X can also be defined as the number of cells occupied by the Kindividuals. In the literature, various asymptotic results for the distributions of X and (N ― X) are given; however, no guidelines are specified with respect to their utilization. In this article, these approximations are explored for various values of K and N, and rules of thumb are given for their appropriate use.