NEARLY BEST LINEAR UNBIASED ESTIMATION OF THE LOCATION AND SCALE PARAMETERS OF THE WEIBULL PROBABILITY DISTRIBUTION BY THE USE OF ORDER STATISTICS.

Abstract

Five-decimal-place tables are given for the coefficients for nearly best linear estimation of the location and scale parameters of the Weibull distribution. With the shape parameter known, the least squares method of linear estimation as applied to order statistics was used to determine the coefficients of estimation. The tabled coefficients are for the shape parameter equal to 0.5(0.5)2.0(1.0)4.0 with a sample size of N=10(1)40. M-order-statistic parameter estimators are tabled for censored samples with various values of r sub 2 largest observations missing. Also included is the relative efficiency of the estimators. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1968
Accession Number
AD0685116

Entities

People

  • Francis B. Stump

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Data Science
  • Estimators
  • Information Science
  • Least Squares Method
  • Order Statistics
  • Probability
  • Probability Distributions
  • Statistical Algorithms
  • Statistical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.