Accession Number : AD0680262

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

Corporate Author : SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

Personal Author(s) : Jones,G. M. ; Kapadia,C. H. ; Owen,D. B. ; Bland,R. P.

Report Date : 11 OCT 1968

Pagination or Media Count : 11

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 :   (*POPULATION(MATHEMATICS), DISTRIBUTION FUNCTIONS), PROBABILITY DENSITY FUNCTIONS, SAMPLING

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE