
Accession Number : AD0715956
Title : The Distribution of Linear Combinations of the Sample Occupancy Numbers.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Harris,Bernard ; Park,C. J.
Report Date : JAN 1970
Pagination or Media Count : 22
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)
Descriptors : (*STATISTICAL DISTRIBUTIONS, SAMPLING), STATISTICAL TESTS, DISTRIBUTION FUNCTIONS, POLYNOMIALS, CONVERGENCE, INTEGRALS, PROBABILITY
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE