Abstract

Several concepts of generalized orderings and generalized ageing classes have been considered in the literature (see Fagiuoli and Pellerey, 1993, Nav Res Logist 40: 829–842). They have been used in reliability, economics and actuarial sciences. These generalized notions provide a knowledge of the intrinsic structure of the ageing and ordering properties of random variables and have become an important tool in applied probability.

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