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

Report Date:

1972-08-01

Pagination or Media Count:

25.0

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. 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

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE