Stochastic Comparisons of Order Statistics and Spacings: A Review. (5th December 2012)

• Record Type: Journal Article
• Authors: Kochar, Subhash
• Other Names: Fox C. Academic Editor.; López-Fidalgo J. Academic Editor.; Pons O. Academic Editor.; Proppe C. Academic Editor.
• Is Part Of: ISRN probability and statistics. Volume 2012(2012)
• Publication Date: 2012-12-05
• Subjects: Probabilities -- Periodicals; Mathematical statistics -- Periodicals; Mathematical statistics; Probabilities; Electronic journals; Periodicals; 519
• DOI: 10.5402/2012/839473
• Languages: English
• ISSNs: 2090-4711

Abstract

Abstract : We review some of the recent developments in the area of stochastic comparisons of order statistics and sample spacings. We consider the cases when the parent observations are identically as well as nonidentically distributed. But most of the time we will be assuming that the observations are independent. The case of independent exponentials with unequal scale parameters as well as the proportional hazard rate model is discussed in detail.