Asymptotic Efficiency and Some Quasi-Method of Moments Estimators

Abstract

The report contains the asymptotic efficiencies of some candidate estimators which provide alternatives to maximum likelihood in some common probabilistic settings. The alternative estimators can be found with measurably less effort than solving the likelihood equations. They include the method of moments and similarly constructed estimators that involve the harmonic mean. The most successful example found deals with the negative binomial distribution. Here, the harmonic mean estimator has high efficiency in regions where the method of moments estimator has rather low efficiency.

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Document Details

Document Type
Technical Report
Publication Date
Mar 15, 1977
Accession Number
ADA039468

Entities

People

  • Robert R. Read

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Binomials
  • Computations
  • Covariance
  • Efficiency
  • Equations
  • Estimators
  • Integrals
  • Mathematics
  • Method Of Moments
  • Numbers
  • Operations Research
  • Plastic Explosives
  • Probability
  • Random Variables
  • Statistical Algorithms
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Systems Analysis and Design