The Construction of Good Linear Unbiased Estimates from the Best Linear Estimates for a Smaller Sample Size

John I. McCool

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A general procedure is found for constructing good unbiased linear estimators of the location and scale parameters of a distribution for use with an uncensored sample of size n. It is presupposed that the coefficients of the best linear estimates are available for an uncensored sample of size m < n for the distribution under investigation. The coefficients of the proposed estimators are obtained as linear combinations of these with the aid of tabled values of the hypergeometric probability function.

Original languageEnglish (US)
Pages (from-to)543-552
Number of pages10
JournalTechnometrics
Volume7
Issue number4
DOIs
StatePublished - Jan 1 1965

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Small Sample Size
Linear Estimator
Probability function
Location Parameter
Hypergeometric Functions
Scale Parameter
Coefficient
Estimate
Linear Combination
Estimator

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

Cite this

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The Construction of Good Linear Unbiased Estimates from the Best Linear Estimates for a Smaller Sample Size. / McCool, John I.

In: Technometrics, Vol. 7, No. 4, 01.01.1965, p. 543-552.

Research output: Contribution to journalArticle

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