A General Approach for Preservation of Some Aging Classes Under Weighting

Abstract

Abstract In this article, we apply univariate characterizations of some monotonic aging classes to investigate the preservation problem of those classes and stochastic orders under weighting. The results are also examined and discussed for special cases of the weighted distributions, as well. Keywords: DRHR (IRHR)ILR (DLR)IHR (DHR)PreservationStochastic orderingWeighted distributionsMathematics Subject Classification: 60E1562N05 Acknowledgments The authors are thankful to referees for their helpful comments and suggestions. Also, the partial support from the Ordered and Spatial Data Center of Excellence of Ferdowsi University of Mashhad is acknowledged.