Some characterization results based on doubly truncated reversed residual lifetime random variable

Author:
, , , ,
Year
: 2017
Abstract: In view of the growing importance of the reversed residual lifetime in reliability anal-

ysis and stochastic modeling, in this paper, we try to study some of the reliability

properties of reversed residual lifetime random variable based on doubly truncated

data and complete the preceding results such as Ruiz and Navarro (1995, 1996),

Navarro et al. (1998), Nanda et al. (2003), Nair and Sudheesh (2008) and Sudheesh

and Nair (2010). The monotonicity properties of the doubly truncated reversed resid-

ual variance and its relations with doubly truncated reversed residual expected value

and doubly truncated reversed residual coefficient of variation are discussed. Further-

more, an upper bound for it under some conditions is obtained. We also discuss and

find the similar results and some characterizations for discrete random ageing, which

are noticeable in comparing with continuous cases.
Keyword(s): doubly truncated reversed residual expected value,doubly truncated reversed residual

coefficient of variation,doubly truncated reversed residual variance,generalized fail-

ure rate,reversed failure rate
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