Accession Number : AD0263229

Title :   EFFICIENCY OF CERTAIN METHODS OF ESTIMATION FOR THE NEGATIVE BINOMIAL AND THE NEYMAN TYPE A DISTRIBUTIONS

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : KATTI,S.K. ; GURLAND,J.

Report Date : JUL 1961

Pagination or Media Count : 1

Abstract : A mathematical study is made of the asymptotic efficiency of certain methods of estimation for the negative binomial and the Neyman Type A distributions. The efficiency of the methed report thod of moments for these distributions is found to be high for certain triangular shaped regions in parameter space and in these triangular shaped regions variances of the distributions are close to their respective means. It is concluded that the methods using three statistics are asymptotically more efficient than the ones using only two statistics. An appendix is provided in which the efficiency of the statistical data for the various methods are listed in a group of tables.

Descriptors :   *BINOMIALS, *DISTRIBUTION THEORY, *MATHEMATICAL ANALYSIS, *PROBABILITY, *STATISTICAL ANALYSIS, EQUATIONS, FUNCTIONS(MATHEMATICS), MATRICES(MATHEMATICS), SERIES(MATHEMATICS), STATISTICAL TESTS, TABLES(DATA), THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE