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AuthorFernholz, Luisa Turrin. author
Titlevon Mises Calculus For Statistical Functionals [electronic resource] / by Luisa Turrin Fernholz
ImprintNew York, NY : Springer New York, 1983
Connect tohttp://dx.doi.org/10.1007/978-1-4612-5604-5
Descript 124 p. online resource

CONTENT

I. Introduction -- II. Von Misesโ{128}{153} Method -- 2.1 Statistical functionals -- 2.2 Von Mises expansions -- 2.3 Frรฉรฉchet 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.โ{128}{153}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


Mathematics Applied mathematics Engineering mathematics Probabilities Mathematics Probability Theory and Stochastic Processes Applications of Mathematics



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