On extremes of bivariate residual lifetimes from generalized Marshall–Olkin and time transformed exponential models

Yinping You, Xiaohu Li () and Narayanaswamy Balakrishnan

Metrika: International Journal for Theoretical and Applied Statistics, 2014, vol. 77, issue 8, 1056 pages

Abstract: We study here extremes of residuals of the bivariate lifetime and the residual of extremes of the two lifetimes. In the case of generalized Marshall–Olkin model and the total time transformed exponential model, we first present some sufficient conditions for the extremes of residuals to be stochastically larger than the residual of the corresponding extremes, and then investigate the stochastic order of the residual of extremes of the two lifetimes based on the majorization of the age vector of the residuals. Copyright Springer-Verlag Berlin Heidelberg 2014

Keywords: GMO model; Marjorization; RTI; Stochastic order; TTE model (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:77:y:2014:i:8:p:1041-1056

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DOI: 10.1007/s00184-014-0485-9

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