Occupancy with two types of balls
type: Item
instance of: scholarly article
title: Occupancy with two types of balls
zbMATH Open document ID: 0673.60011
DOI: 10.1007/BF00053956
author: Kazuo Nishimura
author: Masaaki Sibuya
published in: Annals of the Institute of Statistical Mathematics
publication date: 1988-01-01T00:00:00Z
review text: An extension of the classical occupancy problem is considered with two types of balls, say red and white. The balls are thrown at random, one by one, according to some rule of choice fixed in advance. First, the joint distribution of the number of urns with and without white and red balls is studied after a given number of throws. Then an exponential limit distribution is proved for the product of the numbers of red and white balls thrown till an urn with balls of both colors is first obtained.
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 4102169
zbMATH Keywords: urn models
zbMATH Keywords: birthday problem
zbMATH Keywords: Stirling numbers
zbMATH Keywords: exponential
zbMATH Keywords: distribution
zbMATH Keywords: cryptography
zbMATH Keywords: occupancy problem
reviewed by: Tamás F. Móri
MaRDI profile type: Publication
cites work: Q5538132
cites work: Q4122535
cites work: Q5585020
cites work: Q4153377
cites work: DES-GENERATED CHECKSUMS FOR ELECTRONIC SIGNATURES
cites work: Probability to meet in the middle
cites work: Limit Theorems in a Model of Distribution of Particles of Two Types
cites work: Q3243274
description: scientific article; zbMATH DE number 4102169