Accession Number : AD0749040

Title :   Some Inequalities for Certain Functions of Order Statistics from IFR Distributions.

Descriptive Note : Research rept.,

Corporate Author : CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER

Personal Author(s) : Brown,Robert A. ; Singpurwalla,Nozer D.

Report Date : AUG 1972

Pagination or Media Count : 25

Abstract : In the paper the authors consider functions which are the sum of the k largest order statistics in a sample of size n from a continuous distribution F , minus nh , where h is a specified constant. If F is an exponential distribution, then for a specified value of k the authors obtain that value of n which maximizes the expected value of the function defined above. If F is IFR then the authors obtain an upper bound on that value of n which maximizes the expected value of the function (for a specified value of k), and also an upper bound on the maximum of the expected value of the function. Some other inequalities are also obtained. (Author)

Descriptors :   (*STATISTICAL ANALYSIS, DISTRIBUTION FUNCTIONS), INEQUALITIES, RANDOM VARIABLES, DECISION THEORY, SAMPLING, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE