| Description |
1 online resource (542 pages) |
| Series |
Chapman and Hall/CRC Pure and Applied Mathematics ; v. 134 |
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Chapman and Hall/CRC Pure and Applied Mathematics
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| Contents |
1.2.1. General Definitions1.2.2. Dominated Experiments; 1.2.3. Three Remarks on Regular and Dominated Experiments; 1.2.4. A Remark Regarding the Interpretation of Bayesian Experiments; 1.2.5. A Remark on Sampling Theory and Bayesian Methods; 1.2.6. A Remark Regarding So-called "Improper" Prior Distributions; 1.2.7. Families of Bayesian Experiments; 1.3. Some Examples of Bayesian Experiments; 1.4. Reduction of Bayesian Experiments; 1.4.1. Introduction; 1.4.2. Marginal Experiments; 1.4.3. Conditional Experiment; 1.4.4. Complementary Reductions; 1.4.5. Dominance in Reduced Experiments |
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2: Admissible Reductions: Sufficiency and Ancillarity2.1. Introduction; 2.2. Conditional Independence; 2.2.1. Notation; 2.2.2. Definition of Conditional Independence; 2.2.3. Null Sets and Completion; 2.2.4. Basic Properties of Conditional Independence; 2.2.5. Conditional Independence and Densities; 2.2.6. Conditional Independence as Point Properties; 2.3. Admissible Reductions of an Unreduced Experiment; 2.3.1. Introduction; 2.3.2. Admissible Reductions on the Sample Space; 2.3.3. Admissible Reductions on the Parameter Space; 2.3.4. Some Comments on the Definitions |
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2.3.5. Elementary Properties of Sufficiency and Ancillarity2.3.6. Sufficiency and Ancillarity in a Dominated Experiment; 2.3.7. Sampling Theory and Bayesian Methods; 2.3.8. A First Result on the Relations between Sufficiency and Ancillarity; 3: Admissible Reductions in Reduced Experiments; 3.1. Introduction; 3.2. Admissible Reduction in Marginal Experiments; 3.2.1. Introduction; 3.2.2. Basic Concepts; 3.2.3. Sufficiency and Ancillarity in Unreduced and in Marginal Experiments; 3.2.4. A Remark on "Partial" Sufficiency; 3.3. Admissible Reductions in Conditional Experiments; 3.3.1. Introduction |
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3.3.2. Reductions in the Sample Space3.3.3. Reductions in the Parameter Space; 3.3.4. Elementary Properties; 3.3.5. Relationships between Sufficiency and Ancillarity; 3.3.6. Sufficiency and Ancillarity in a Dominated Reduced Experiment; 3.4. Jointly Admissible Reductions; 3.4.1. Mutual Sufficiency; 3.4.2. Mutual Exogeneity; 3.4.3. Bayesian Cut; 3.4.4. Joint Reductions in a Dominated Experiment; 3.4.5. Joint Reductions in a Conditional Experiment; 3.4.6. Some Examples; 3.5. Comparison of Experiments; 3.5.1. Comparison on the Sample Space: Sufficiency |
| Notes |
3.5.2. Comparison on the Parameter Space: Encompassing |
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Print version record |
| Subject |
Bayesian statistical decision theory.
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Bayesian statistical decision theory
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| Form |
Electronic book
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| Author |
Mouchart, Micher
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Rolin, Jean-Marie
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| ISBN |
9781351452878 |
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1351452878 |
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