Accession Number:

AD0780906

Title:

Some Contributions to Fixed Sample and Sequential Multiple Decision (Selection and Ranking) Theory.

Descriptive Note:

Technical rept.,

Corporate Author:

PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s):

• Huang,Deng-Yuan

Report Date:

1974-05-01

Pagination or Media Count:

78.0

Abstract:

The report makes some contributions to the subset selection procedures - both for the fixed sample and the sequential case. Chapter 1 deals with some subset selection procedures for binomial populations in terms of the entropy functions, which is different from the usual selection problem in terms of the success probabilities. In Chapter 2, some fixed sample optimal subset selection procedures are discussed for model I and II problems in the analysis of variance in treatments versus control, and a method for constructing some subset selection procedures is derived. Chapter 3 discusses a method for constructing some sequential subset selection procedures and some optimal sequential subset selection procedure in treatments versus control. An upper bound on the expected sample size for Bechhofer-Kiefer-Sobel sequential selection procedure with indifference zone approach is also derived. Author

Descriptors:

• *Statistical decision theory
• *Sampling
• Analysis of variance
• Selection
• Set theory
• Probability density functions
• Random variables
• Entropy
• Theorems

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE