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