Advances and Applications in Statistics
Volume 9, Issue 2, Pages 283 - 292
(August 2008)
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STOCHASTIC COMPARISONS OF EXCESS LIFETIMES OF RENEWAL PROCESSES BASED UPON GENERALIZED STOCHASTIC ORDERINGS
Wen-Xin Wang (P. R. China) and Yan-Peng Ma (P. R. China)
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Abstract: In this paper we first provide new results about stochastic orders (viz.,r-st, r-icx, r-icv, r-sfr and r-Lt orders) of the excess lifetimes of renewal processes when the interarrival times belong to several generalized ageing concepts (viz., r-NBU, r-NBUCX, r-NBUCV, r-NBUFR and
and their duals. Next, we characterize generalized
ageing class of life distribution by the excess lifetime in terms of generalized Laplace transform order. |
Keywords and phrases: renewal process, excess lifetime, r-NBU, r-NBUCX, r-NBUCV,r-NBUFR, |
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