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The weighted bootstrap

Author: Philippe Barbe; Patrice Bertail
Publisher: New York : Springer-Verlag, ©1995.
Series: Lecture notes in statistics (Springer-Verlag), v. 98.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Assume we are interested in approximating the distribution of a statistical functional T(P ) the -1 nn empirical counterpart of the functional T(P) , where P n := n l:i=l aX. , Xm n n -1 mn * * P T(P  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Philippe Barbe; Patrice Bertail
ISBN: 0387944788 9780387944784
OCLC Number: 32049316
Description: 230 pages : illustrations ; 24 cm.
Contents: I. Asymptotic theory for the generalized bootstrap of statistical differentiable functionals --
II. How to choose the weights --
III. Some special forms of the weighted bootstrap --
IV. Proofs of results of Chapter I --
V. Proofs of results of Chapter II --
VI. Proofs of results of Chapter III --
Appendix 1: Exchangeable variables of sum 1 --
Appendix 2: How to express [actual symbol not reproducible] as a sum of U-statistics --
Appendix 3: Derivation of [actual symbol not reproducible] --
Appendix 4: Calculation of E[subscript W] Q[subscript W, n] --
Appendix 5: Finite sample asymptotic for the mean and the bootstrap mean estimator --
Appendix 6: Weights giving an almost surely consistent bootstrapped mean --
Appendix 7: Differentials of the functional T[superscript (1)](X, P) --
Appendix 8: Edgeworth expansions up to o(n[superscript -1]) for a third order differentiable statistical functional and its studentized form.
Series Title: Lecture notes in statistics (Springer-Verlag), v. 98.
Responsibility: Philippe Barbe and Patrice Bertail.

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