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

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

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE