The Use of the Empirical Probability Generating Function to Estimate the Neyman Type A Distribution Parameters.

Abstract

The Maximum Likelihood estimators for the Neyman Type A distribution parameters are very difficult to compute. In this thesis, the Empirical Probability Generating Function is used to provide estimators that are easier to compute and have asymptotic efficiency at least as high as 97% of that for the Maximum Likelihood estimators over most of the parameter space considered. The estimators found by this method are consistently better than the Method of Moments and the Method of Zero Frequency estimators with respect to asymptotic efficiency. The considerations of preference in using one method over another are discussed. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1979
Accession Number
ADA076577

Entities

People

  • Harold R. Bishop

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Computer Programs
  • Computers
  • Data Sets
  • Efficiency
  • Equations
  • Estimators
  • Frequency
  • Method Of Moments
  • Operating Systems
  • Plastic Explosives
  • Probability
  • Random Variables
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Organizational Psychology.

Technology Areas

  • Space