Poisson Limits for Generalized Random Allocation Problems.

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.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1987
Accession Number
ADA180945

Entities

People

  • Bernard Harris

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Mechanics
  • Nonparametric Statistics
  • Probability
  • Probability Distributions
  • Statistical Mechanics
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • ballistics.