Accession Number : ADA180945

Title :   Poisson Limits for Generalized Random Allocation Problems.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Harris,Bernard

Report Date : FEB 1987

Pagination or Media Count : 12

Abstract : N balls are randomly distributed into N cells so that no cell may contain more than one ball. This process is repeated m times. In addition, balls may disappear, such disappearances are independent and identically Bernoulli distributed. Conditions are given under which the number of empty cells has an asymptotically (N approaches limit of infinity) Poisson distribution. Keywords: Poisson limits; Statistical mechanics; Nonparametric statistics; Approximation(mathematical); Probability distributions.

Descriptors :   *PROBABILITY DISTRIBUTION FUNCTIONS, ALLOCATIONS, CELLS, LIMITATIONS, NONPARAMETRIC STATISTICS, POISSON DENSITY FUNCTIONS, STATISTICAL MECHANICS, APPROXIMATION(MATHEMATICS)

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE