Preservation of classes of life distributions and stochastic orders under weighting

Jaroslaw Bartoszewicz and Magdalena Skolimowska

Statistics & Probability Letters, 2006, vol. 76, issue 6, 587-596

Abstract: In the paper we use a representation of weighted distributions by the Lorenz curve to obtain some results concerning their relations with life distributions. We also consider a problem of preservation of stochastic orderings under weighting. Some extensions of the results of Gupta and Keating [1986. Relations for reliability measures under length biased sampling. Scand. J. Statist. 13, 49-56] and Jain et al. [1989. Relations for reliability measures of weighted distributions. Comm. Statist. Theory Methods 18, 4393-4412] are given.

Keywords: Partial; orders; Weighted; distributions; Length-biased; distributions; Lorenz; curve; Hazard; rate; Reversed; hazard; rate; IFR; IRFR; DFR; DRFR; IFRA; DFRA; NBU; NWU (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (6)

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