A stochastic order consisting of a shifted version of the well-known re- versed hazard rate order is proposed. Namely, for two continuous random variables X and Y we say that X is smaller than Y in the up reversed hazard rate order, denoted as X rh" Y , if X x rh Y for each x 0. Some properties of such order are presented, including the preservation under (i) transformations by strictly monotone convex functions, (ii) formation of coherent systems, (iii) Poisson shock models.
The up reversed hazard rate stochastic order / DI CRESCENZO, A.; Longobardi, Maria. - In: SCIENTIAE MATHEMATICAE JAPONICAE. - ISSN 1346-0862. - STAMPA. - 54:3(2001), pp. 575-581.
The up reversed hazard rate stochastic order
LONGOBARDI, MARIA
2001
Abstract
A stochastic order consisting of a shifted version of the well-known re- versed hazard rate order is proposed. Namely, for two continuous random variables X and Y we say that X is smaller than Y in the up reversed hazard rate order, denoted as X rh" Y , if X x rh Y for each x 0. Some properties of such order are presented, including the preservation under (i) transformations by strictly monotone convex functions, (ii) formation of coherent systems, (iii) Poisson shock models.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
