Square-Root and Cube-Root Estimators. The Developments in Sample Survey Theory

Abstract

When the situation arises that the population being sampled is known, a priori, to have characteristics that place it in a more restricted category, the question rightly may be asked as to whether the condition of uniform unbiasedness might not be dropped and the bias and variance be combined into a single measure of mean square error. The purpose of the research is to investigate a class of estimators, which shall be called root estimators, that will usually have smaller mean square error than the arithmetic mean for certain classes of populations.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0742678

Entities

People

  • Herman Otto Hartley
  • L. J. Ringer
  • O. C. Jenkins

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Demography
  • Efficiency
  • Equations
  • Errors
  • Estimators
  • Mathematical Models
  • New York
  • Numbers
  • Probability
  • Sampling
  • Skewness
  • Square Roots
  • Statistical Samples
  • Statistical Sampling
  • Statistics
  • Surveys
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Statistical inference.