Estimation of Variance of the Ratio Estimator.

Abstract

A general class of estimators of the variance of the ratio estiamtor is considered, which includes two standard estimators V sub 0 and V sub 2 and approximates another estiamtor V sub H. Asymptotic expansions for the variances and biases of the proposed estimators are obtained. Based on this optimal variance estimator in the class is obtained and compared to the relative merits of three estimators V sub 0, V sub 1 and V sub 2 without any model assumption. Under a simple regression model a more definite comparison of V sub 0, V sub 1 and V sub 2 is made in terms of variance and bias.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1981
Accession Number
ADA110476

Entities

People

  • Chien-fu Wu

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Coefficients
  • Data Science
  • Information Science
  • Mathematics
  • Optimal Estimators
  • Probability
  • Sampling
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Samples
  • Statistical Sampling
  • Surveys
  • Theorems
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Statistical inference.