ON THE DISTRIBUTIONS OF THE QUASI-RANGE AND MIDRANGE FOR SAMPLES FROM A NORMAL POPULATION,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 11, 1968
- Accession Number
- AD0680262
Entities
People
- C. H. Kapadia
- D. B. Owen
- G. M. Jones
- R. P. Bland
Organizations
- Southern Methodist University