The Asymptotic Distribution of the Product Estimator.

Abstract

The exact formulas for the bias and variance of the product estimator under simple random sampling are given. Its asymptotic normality is rigorously established under weak and interpretable regularity conditions on the finite populations. No superpopulation model is assumed. Hajek's projection method is the key tool in our proofs. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1981
Accession Number
ADA103884

Entities

People

  • C.-f. Wu
  • D.-s. Chang

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Coefficients
  • Computations
  • Mathematics
  • Normality
  • Probability
  • Random Variables
  • Sampling
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Samples
  • Statistics
  • Surveys
  • Theorems
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Statistical inference.