# Accession Number:

## AD0680262

# Title:

## ON THE DISTRIBUTIONS OF THE QUASI-RANGE AND MIDRANGE FOR SAMPLES FROM A NORMAL POPULATION,

# Descriptive Note:

# Corporate Author:

## SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

# Personal Author(s):

# Report Date:

## 1968-10-11

# Pagination or Media Count:

## 11.0

# Abstract:

Let X sub 1, X sub 2,..., X sub n be an ordered sample from the standard normal population. If the r largest and r smallest observations are omitted, the range of the remaining n-2r sample values is defined as the rth quasi-range. Expressions involving multivariate normal probabilities are found for the density function, the cumulative distribution function, and the expected value. The midrange is defined. If the sample values X sub 1 and X sub n are from the standard normal population, it is possible to express the density function of the midrange in terms of multivariate normal probabilities for even values of n. Author

# Descriptors:

# Subject Categories:

- Statistics and Probability