On Some Multiple Decision Problems

Abstract

This thesis deals with some selection and ranking procedures for restricted families of probability distributions. A selection rule is proposed for distributions which are convex-ordered with respect to a specified distribution G. Some properties of this selection rule are derived. The asymptotic relative efficiencies of this rule with respect to other selection rules are evaluated. A selection rule is also proposed and studied for distributions which are s-ordered with respect to G. Some interval estimation problems for the unknown parameters of the k populations are studied. The infimum of the probability that a given confidence interval (based on suitably chosen order statistics) contains at least one good population is obtained. Different modifications and variations of this problem are also studied. The selection procedures are discussed in terms of majorization and weak majorization. The parameter is partially ordered by means of majorization or weak majorization. A class of procedures R sub h for selecting the best population is defined.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA030868

Entities

People

  • Ming-wei Lu

Organizations

  • Purdue University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Covariance
  • Distribution Functions
  • Efficiency
  • Mathematics
  • Normal Distribution
  • Order Statistics
  • Probability
  • Probability Distributions
  • Random Variables
  • Reliability
  • Statistical Analysis
  • Statistical Inference
  • Statistics
  • Theorems
  • Two Dimensional
  • United States
  • Virtual Reality

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Statistical inference.