Accession Number : AD0738340

Title :   Contributions to Multiple Decision (Subset Selection) Rules, Multivariate Distribution Theory and Order Statistics.

Descriptive Note : Final rept. Jul 63-Jun 71,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Gupta,Shanti S. ; Panchapakesan,S.

Report Date : OCT 1971

Pagination or Media Count : 127

Abstract : The report is presented in three parts. Part A consists of eight sections and deals with multiple decision (selection and ranking) procedures. Part B contains some distribution theory which arises in these selection and ranking problems and some results relating to the moments of certain statistics. An overall description of the several tables that have been constructed is also given in this part. Part C includes on a variety of topics among which are (i) the distribution of linear functions of ordered correlated normal random variables, (ii) order statistics from the logistic distribution, (iii) inequalities relating to binomial and gamma distributions, (iv) the moments of traces of two matrices that arise in three different situations for complex multivariate normal populations and (v) life testing sampling plans for distributions having an increasing or a decreasing failure rate. (Author)

Descriptors :   (*MULTIVARIATE ANALYSIS, *DISTRIBUTION THEORY), DECISION THEORY, POPULATION(MATHEMATICS), SET THEORY, PROBABILITY DENSITY FUNCTIONS, STOCHASTIC PROCESSES, INEQUALITIES, SAMPLING

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE