Accession Number:

AD0768033

Title:

Some Inequalities for Concave Functions of Order Statistics from IFR (Increasing Failure Rate) Distributions,

Descriptive Note:

Corporate Author:

GEORGE WASHINGTON UNIV WASHINGTON D C PROGRAM IN LOGISTICS

Report Date:

1973-09-20

Pagination or Media Count:

16.0

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. It is proven that such functions are concave in n. If F is an exponential distribution, then for a fixed k the authors obtain that value of n which maximizes the expected value of the function defined above. For F IFR an upper bound is obtained on n and also an upper bound on the maximum of the expected value of the function. Some other inequalities are also obtained. Modified author abstract

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE