Accession Number:

ADA031957

Title:

Some Limit Theorems for the Indistinguishable Ball Problem with Applications in Nonparametrics.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1976-08-01

Pagination or Media Count:

20.0

Abstract:

Consider the following urn model, m urns and distribute n indistinguishable balls among the urns such that the distinguishable distributions of the balls all have the same probability. Let S sub K denote the number of balls in the Kth urn. Clearly S sub 1 ... S sub m n. In this paper, random variables of the type Z hS sub 1,...,S sub m, especially hS sub 1, ...,S sub m h sub 1 S sub 1 ... h sub m S sub m, are studied when m,n approaches the limit of infinity mn approaches the limit of rho, o rho infinity. Some applications of the results in nonparametric statistics are briefly discussed and the limit distribution of masS sub1,...,S sub m is derived.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE