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＜電子ブック＞
von Mises Calculus For Statistical Functionals / by L. T. Fernholz
(Lecture Notes in Statistics. ISSN:21977186 ; 19)

版	1st ed. 1983.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1983
大きさ	124 p : online resource
著者標目	*Fernholz, L. T author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Mathematics FREE:Probability Theory FREE:Applications of Mathematics
一般注記	I. Introduction -- II. Von Mises’ Method -- 2.1 Statistical functionals -- 2.2 Von Mises expansions -- 2.3 Frééchet derivatives -- III. Hadamard Differentiation -- 3.1 Definitions of differentiability -- 3.2 An implicit function theorem -- IV. Some Probability Theory on C[0,1] and D[0,1] -- 4.1 The spaces C[0,1] and D[0,1] -- 4.2 Probability theory on C[0,1] -- 4.3 Probability theory on D[0,1] -- 4.4 Asymptotic Normality -- V. M-, L-, and R-Estimators -- 5.1 M-estimators -- 5.2 L-estimators -- 5.3 R-estimators -- 5.4 Modifications of elements of D[0,1] -- VI. Calculus on Function Spaces -- 6.1 Differentiability theorems -- 6.2 An implicit function theorem for statistical functionals -- VII. Applications -- 7.1 M-estimators -- 7.2 L-estimators -- 7.3 R-estimators -- 7.4 Functionals on C[0,1]: sample quantiles -- 7.5 Truncated d.f.’s and modified estimators -- VIII. Asymptotic Efficiency -- 8.1 Asymptotic efficiency and Hadamard differentiability -- 8.2 Asymptotically efficient estimators of location -- References -- List of symbols HTTP:URL=https://doi.org/10.1007/978-1-4612-5604-5

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