內容介紹 | |
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出版社:世界圖書出版公司
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ISBN:9787519226190
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作者:(美)R.W.基納
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頁數:538
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出版日期:2017-08-01
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印刷日期:2017-08-01
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包裝:平裝
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開本:24開
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版次:1
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印次:1
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字數:451千字
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1 Probability and Measure 1.1 Measures 1.2 Integration 1.3 Events, Probabilities, and Random Variables 1.4 Null Sets 1.5 Densities 1.6 Expectation 1.7 Random Vectors 1.8 Covariance Matrices 1.9 Product Measures and Independence 1.10 Conditional Distributions 1.11 Problems 2 Exponential Families 2.1 Densities and Parameters 2.2 Differential Identities 2.3 Dominated Convergence 2.4 Moments, Cumulants, and Generating Functions 2.5 Problems 3 Risk, Sufficiency, Completeness, and Ancillarity 3.1 Models, Estimators, and Risk Functions 3.2 Sufficient Statistics 3.3 Factorization Theorem 3.4 Minimal Sufficiency 3.5 Completeness 3.6 Convex Loss and the Rao-Blackwell Theorem 3.7 Problems 4 Unbiased Estimation 4.1 Minimum Variance Unbiased Estimators 4.2 Second Thoughts About Bias 4.3 Normal One-Sample Problem--Distribution Theory 4.4 Normal One-Sample Problem--Estimation 4.5 Variance Bounds and Information 4.6 Variance Bounds in Higher Dimensions 4.7 Problems 5 Curved Exponential Families 5.1 Constrained Families 5.2 Sequential Experiments 5.3 Multinomial Distribution and Contingency Tables 5.4 Problems 6 Conditional Distributions 6.1 Joint and Marginal Densities 6.2 Conditional Distributions 6.3 Building Models 6.4 Proof of the Factorization Theorem 6.5 Problems 7 Bayesian Estimation 7.1 Bayesian Models and the Main Result 7.2 Examples 7.3 Utility Theory 7.4 Problems
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