# Accession Number:

## AD0436763

# Title:

## EXPECTED VALUES OF EXPONENTIAL, WEIBULL, AND GAMMA ORDER STATISTICS,

# Descriptive Note:

# Corporate Author:

## AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO

# Personal Author(s):

# Report Date:

## 1964-02-01

# Pagination or Media Count:

## 112.0

# Abstract:

Five-decimal-place tables, accurate to within aunit in the last place, are given of the expected values of the Mth order statistics M 1 1 N of samples of size N from the exponential population N - 11 120 and from te Weibull and Gamma populations N 11 40. In each case, the values of the location and scale parameters are assumed to be 0 and 1, respectively. Results are tabulated for the Weibull population with shape parameter K 0.500.5418 and for the Gamma population with shape parameter a 0.50.54, as well as for the exponential population, which is a special case shape parameter 1 of each of the other two populations. Also given is an eight-decimal-place table, accurate to within a unit in the last place, of the moments means, variance, skewness, and kurtosis of the exponential population and of the Weibull and Gamma populations with the above-mentioned values of the shape parameters. The mathematical formulations are given, along with a description of the methods of computation and a discussion of uses of the tables. Author