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

Axillary

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. Cs?rg? and Révész (1981)).

Bombast

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.

臆斷

Die Mediatisierung sozialer WeltenAn implication of the following lemma will be useful.

SSRIS

Die Medicimadonna MichelangelosLet Q. = F. be the quantile function of the original sample.

環(huán)形

即席演說(shuō)

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 ..

Entropion

FAWN

外表讀作

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).

無(wú)法治愈

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 ..