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Titlebook: An Asymptotic Theory for Empirical Reliability and Concentration Processes; Miklós Csörgő,Sándor Csörgő,Lajos Horváth Book 1986 Springer-V

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Total Time on Test Processes,Let Q. = F. be the quantile function of the original sample.
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Discussion of Results on Total Time on Test Processes,Returning to the discussion of condition (6.2) of Theorem 6.2, let the density function f = F. be continuous and positive on the open support (t., T.) of F, 0 ≤ tF ≤ T. ≤∞, and define the failure or hazard rate function r or F by ..
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Total Time on Test from the First Failure,.. Let us allow for the possibility that the lower end of the support of F, . is not necessarily zero, but ..
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Empirical Lorenz Processes,We recall the definitions of the theoretical and empirical Lorenz curves L. and L. in (1.8) and (1.10) respectively, together with that of the empirical Lorenz process l. in (1.13).
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