LEAST-SQUARES CONDITIONAL ESTIMATION OF THE LOCATION PARAMETER OF WEIBULL POPULATIONS

Abstract

The method of least-squares is used to develop linear, unbiased, conditional estimators for the location and scale parameters of the Weibull probability density function with known shape parameter. Tables are provided for computing estimators from 1 order statistics selected from the m smallest values of a sample of size n. A method is presented for computing simultaneous estimators directly from the conditional estimators. The tables include sample sizes from 2 to 13 for eleven values of shape parameter--0.5(0.25)2.0(0.5)4.0.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1968
Accession Number
AD0684696

Entities

People

  • William J. Herman

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Advanced Electronics
  • C4I
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Data Science
  • Digital Computers
  • Electronic Components
  • Estimators
  • Information Science
  • Order Statistics
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Statistical Algorithms
  • Statistical Distributions
  • Statistical Inference
  • Statistics
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Statistical inference.