The Distribution of Linear Combinations of the Sample Occupancy Numbers.

Abstract

Assume that a random sample of n observations has been taken from the multinomial distribution with N equiprobable cells. Let S sub i, i = 0,1,2,...,n, be the number of cells occurring i times in the sample. Let W = the summation from i = o to n of (W sub i) (S sub i) be a linear combination of the S sub i's. In this paper a sufficient condition is obtained under which the asymptotic distribution of W is normal as n and N tend to infinity such that n/N approaches alpha > 0. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0715956

Entities

People

  • Bernard Harris
  • C. J. Park

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Acquisition
  • Computing-Related Activities
  • Data Acquisition
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Observation
  • Statistical Samples

Fields of Study

  • Mathematics

Readers

  • Statistical inference.