Nearly Best Linear Invariant Conditional Estimators of the Location and Scale Parameters of the Normal Distribution by Use of Order Statistics.

Abstract

Conditional estimators, based on order statistics, of the location and scale parameters of the normal distribution are developed using the method of Lagrange multipliers. Coefficients are tabulated for nearly best, linear, invariant, conditional estimators. They are designed to be used for samples of size 2 through 40, taken from a population which can be approximated by the normal distribution. The samples may be uncensored singly censored, or doubly censored. Simultaneous estimators may also be obtained using the tables. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0776759

Entities

People

  • Ned H. Criscimagna

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Computing-Related Activities
  • Data Science
  • Estimators
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Normal Distribution
  • Order Statistics
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Regression Analysis.