# Accession Number:

## AD0680018

# Title:

## APPROXIMATE DISTRIBUTIONS FOR LARGEST AND FOR SMALLEST OF A SET OF INDEPENDENT OBSERVATIONS.

# Descriptive Note:

# Corporate Author:

## SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

# Personal Author(s):

# Report Date:

## 1968-09-18

# Pagination or Media Count:

## 15.0

# Abstract:

There is often interest in whether the largest observation of a set of n independent observations is unusually large, or the smallest observation is unusually small. Quite accurate approximate probability expressions can be developed for relations of this kind, even though the distributions for the individual observations can be arbitrarily different and all n or 1 are considered. More specifically, let X sub n and X sub l denote the largest and smallest observations, respectively. Approximate expressions are developed for PX sub n or x and PX sub l or x that are very accurate if 1 - PX sub n or x or 0.15 and PX sub l or x or 0.15. Author

# Descriptors:

# Subject Categories:

- Statistics and Probability