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

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.

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1961
Accession Number
AD0263229

Entities

People

  • J. Gurland
  • S.k. Katti

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Binomials
  • Computing-Related Activities
  • Data Science
  • Efficiency
  • Information Science
  • Mathematics
  • Statistical Data
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Systems Analysis and Design

Technology Areas

  • Space