Accession Number : AD0259916

Title :   MOMENT ESTIMATORS FOR THE PARAMETERS OF A MIXTURE OF TWO BINOMIAL DISTRIBUTIONS

Corporate Author : NEW YORK STATE COLL OF AGRICULTURE ITHACA

Personal Author(s) : BLISCHKE,WALLACE R.

Report Date : 30 JUN 1961

Pagination or Media Count : 1

Abstract : The distribution of a chance variable Y is said to be a mixture of two binomial distributions if P Y=y =(ny) py1(1-p1)n-y+(1- )py2(1-p2)n-y for y=0,1,..., or n=0, otherwise where 0< <1, 0<p1<p2<1 and n 3 is integral. Estimators for , p1, and p2 are constructed on the basis of sample factorial moments computed on m observations from this distribution. The asymptotic joint distribution of the estimators and the asymptotic efficiency of the moment estimators relative to the maximum likelihood estimators are computed. The asymptotic efficiency is discussed as a function of the binomial parameter n. (Author)

Descriptors :   *BINOMIALS, *STATISTICAL ANALYSIS, *STATISTICAL DISTRIBUTIONS, MATRICES(MATHEMATICS), PROBABILITY, STATISTICAL FUNCTIONS, STATISTICAL PROCESSES, STATISTICAL TESTS

Distribution Statement : APPROVED FOR PUBLIC RELEASE