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Some general notions of variability ordering with applications 

Author: Broderick O. Oluyede a
Affiliation:   a Department of Statistics, University of Georgia, Athens, GA, U.S.A.
DOI: 10.1081/SAP-120000224
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 19, Issue 5 October 2001 , pages 841 - 856
Formats available: HTML (English) : PDF (English)
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Abstract

In this note several notions of partial orderings among distributions based on some generalized variability inherent in the random variables or the distribution functions are presented. The notions of variability ordering are introduced via the probability weighted moments, vitality measure and related moment inequalities.
Keywords: Partial ordering; Weighted moments; Life distributions; Vitality function; Mean residual life; Primary 62N05; Secondary 62E10
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