Ebook: Contributions to a General Asymptotic Statistical Theory

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Content:
Front Matter....Pages i-vii
Introduction....Pages 1-21
The Local Structure of Families of Probability Measures....Pages 22-32
Examples of Tangent Spaces....Pages 33-56
Tangent Cones....Pages 57-64
Differentiable Functionals....Pages 65-77
Examples of Differentiable Functionals....Pages 78-89
Distance Functions for Probability Measures....Pages 90-98
Projections of Probability Measures....Pages 99-114
Asymptotic Bounds for the Power of Tests....Pages 115-149
Asymptotic Bounds for the Concentration of Estimators....Pages 150-176
Existence of Asymptotically Efficient Estimators for Probability Measures....Pages 177-195
Existence of Asymptotically Efficient Estimators for Functionals....Pages 196-210
Existence of Asymptotically Efficient Tests....Pages 211-214
Inference for Parametric Families....Pages 215-225
Random Nuisance Parameters....Pages 226-236
Inference for Symmetric Probability Measures....Pages 237-248
Inference for Measures on Product Spaces....Pages 249-257
Dependence — Independence....Pages 258-264
Two-Sample Problems....Pages 265-288
Appendix....Pages 289-299
Back Matter....Pages 300-316

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Content:
Front Matter....Pages i-vii
Introduction....Pages 1-21
The Local Structure of Families of Probability Measures....Pages 22-32
Examples of Tangent Spaces....Pages 33-56
Tangent Cones....Pages 57-64
Differentiable Functionals....Pages 65-77
Examples of Differentiable Functionals....Pages 78-89
Distance Functions for Probability Measures....Pages 90-98
Projections of Probability Measures....Pages 99-114
Asymptotic Bounds for the Power of Tests....Pages 115-149
Asymptotic Bounds for the Concentration of Estimators....Pages 150-176
Existence of Asymptotically Efficient Estimators for Probability Measures....Pages 177-195
Existence of Asymptotically Efficient Estimators for Functionals....Pages 196-210
Existence of Asymptotically Efficient Tests....Pages 211-214
Inference for Parametric Families....Pages 215-225
Random Nuisance Parameters....Pages 226-236
Inference for Symmetric Probability Measures....Pages 237-248
Inference for Measures on Product Spaces....Pages 249-257
Dependence — Independence....Pages 258-264
Two-Sample Problems....Pages 265-288
Appendix....Pages 289-299
Back Matter....Pages 300-316
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