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Asymptotic Expansions for General Statistical Models

โœ Scribed by Johann Pfanzagl (auth.)


Publisher
Springer New York
Year
1985
Tongue
English
Leaves
515
Series
Lecture Notes in Statistics 31
Category
Library

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โœฆ Table of Contents


Front Matter....Pages N2-VII
Introduction....Pages 1-17
Differentiability of Paths....Pages 18-56
Methodological Remarks about Derivatives and Tangent Spaces....Pages 57-85
Examples of Derivatives and Tangent Spaces....Pages 86-104
Differentiability of Functionals....Pages 105-127
Examples of Functionals and Gradients....Pages 128-152
Asymptotic Expansions for Power Functions....Pages 153-197
Evaluating the Performance of Estimators....Pages 198-244
Asymptotic Bounds for the Performance of Confidence Procedures and Estimators....Pages 245-287
The Possible Forms of Edgeworth Expansions for Asymptotically Efficient Estimator-Sequences....Pages 288-332
Statistics with Stochastic Expansion....Pages 333-381
Examples....Pages 382-427
Quantiles: An Example of an Irregular Functional....Pages 428-450
Lemmas....Pages 451-486
Back Matter....Pages 487-509

โœฆ Subjects


Applications of Mathematics


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