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.
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Authors thank two anonymous reviewers for their comments on an earlier version of the manuscript which resulted in this improved version.
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Supported by National Natural Science Foundation of China (11171278).
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You, Y., Li, X. & Balakrishnan, N. On extremes of bivariate residual lifetimes from generalized Marshall–Olkin and time transformed exponential models. Metrika 77, 1041–1056 (2014). https://doi.org/10.1007/s00184-014-0485-9
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DOI: https://doi.org/10.1007/s00184-014-0485-9