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von Mises Calculus For Statistical Functionals de L. T. Fernholz

von Mises Calculus For Statistical Functionals: Lecture Notes in Statistics, cartea 19

Autor L. T. Fernholz
en Limba Engleză Paperback – 29 aug 1983

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Specificații

ISBN-13: 9780387908991
ISBN-10: 0387908994
Pagini: 136
Ilustrații: 124 p.
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.22 kg
Ediția:Softcover reprint of the original 1st ed. 1983
Editura: Springer
Colecția Lecture Notes in Statistics
Seria Lecture Notes in Statistics

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

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.