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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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楼主: CROSS
发表于 2025-3-26 23:00:14 | 显示全部楼层
Andreas Hepp,Michaela PfadenhauerWithout loss of generality we assume that our basic sequence X.,X.,... is defined on an appropriate probability space (Ω, A, P) such that for the resulting uniform empirical process., of U. = F(X.),...,U. = F(X.), the approzimation.of Komlós, Major and Tusnády (1975) holds true (see also Theorem 4.4.3 in M. Csörgö and Révész (1981)).
发表于 2025-3-27 01:59:37 | 显示全部楼层
Andreas Hepp,Michaela PfadenhauerWe summarise now a convergence theory for the mean residual life process z. of (1.15) as a consequence of the preceding section.
发表于 2025-3-27 07:16:40 | 显示全部楼层
Die Mediatisierung sozialer WeltenAn implication of the following lemma will be useful.
发表于 2025-3-27 09:38:59 | 显示全部楼层
Die Medicimadonna MichelangelosLet Q. = F. be the quantile function of the original sample.
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发表于 2025-3-27 20:28:17 | 显示全部楼层
https://doi.org/10.1007/978-3-642-92452-1Returning 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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发表于 2025-3-28 03:23:32 | 显示全部楼层
发表于 2025-3-28 08:03:12 | 显示全部楼层
https://doi.org/10.1007/978-3-642-92452-1We 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).
发表于 2025-3-28 12:05:54 | 显示全部楼层
https://doi.org/10.1007/978-3-642-92452-1The limit process of the unsealed Lorenz process g. (u) = n. (G.(u)-G.(u)), 0 ≤u ≤1, is the mean-zero Gaussian process ..
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