On Multinomial Sums.
Abstract
Consider an experiment with N different outcomes with possibly nonequal probabilities. The experiment is repeated n independent times. Let (X sub k) be the number of times with the kth outcome and let (h sub k(.)) be a given function, k = 1,2,...,N. In this paper a new method for obtaining the limit distributions of random variables of the type (Z sub n) = the summation from one to N of (h sub k)(X sub k) is given. Principally, the case with equal probabilities and the same function h(.) is considered. As an application a limit result is derived for the distribution of the maximum frequency in a random vector with a symmetric multinomial distribution.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1976
- Accession Number
- ADA027897
Entities
People
- Lars Holst
Organizations
- University of Wisconsin–Madison