# 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):

# 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

# Descriptors:

# Subject Categories:

- Statistics and Probability