Connections among various variability orderings

Subhash C. Kochar and K. C. Carrière

Statistics & Probability Letters, 1997, vol. 35, issue 4, 327-333

Abstract: Recently, a new variability ordering, called right spread ordering or excess wealth ordering has been introduced. This new ordering is weaker than dispersive ordering. We show in this note that if X is less variable than Y in the sense of right spread ordering or convex ordering, then it implies that X1 - X2 is less variable than Y1 - Y2 according to increasing convex ordering. Here X1 and X2 (Y1 and Y2) are two independent copies of X (Y). An application of the right spread ordering in the study of spacings from an increasing mean residual life distribution is given.

Keywords: Partial; orderings; Variability; orderings; Convex; ordering; Increasing; convex; ordering; Dispersive; ordering; Right; spread; ordering; Excess; wealth; ordering (search for similar items in EconPapers)
Date: 1997
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

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