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Reliability properties of reversed residual lifetime.

Authors
Nanda-AK; Singh-H; Misra-N; Paul-P
Source
Commun Stat Theory Methods 2003 Sep; 32(10):2031-2042
NIOSHTIC No.
20023916
Abstract
If the random variable X denotes the lifetime (X 0, with probability one) of a unit, then the random variable Xt = (t - X|X t), for a fixed t > 0, is known as `time since failure', which is analogous to the residual lifetime random variable used in reliability and survival analysis. The reversed hazard rate function, which is related to the random variable Xt, has received the attention of many researchers in the recent past [(cf. Shaked, M., Shanthikumar, J. G., 1994). Stochastic Orders and Their Applications. New York: Academic Press]. In this paper, we define some new classes of distributions based on the random variable Xt and study their interrelations. We also define a new ordering based on the mean of the random variable Xt and establish its relationship with the reversed hazard rate ordering.
Keywords
Hazards; Occupational-hazards; Analytical-models; Models; Statistical-analysis
CODEN
CSTMDC
Publication Date
20030901
Document Type
Journal Article
Email Address
asok@math.iitkgp.ernet.in.
Fiscal Year
2003
NTIS Accession No.
NTIS Price
Issue of Publication
10
ISSN
0361-0926
NIOSH Division
HELD
Source Name
Communications in Statistics Theory and Methods
State
WV
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