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【原文書】 書名:Statistical Inference 2/E 作者:George Casella 出版社:CENGAGE ISBN:9780534243128 Table of contents 1. Probability Theory. Set Theory. Probability Theory. Conditional Probability and Independence. Random Variables. Distribution Functions. Density and Mass Functions. Exercises. Miscellanea. 2. Transformations and Expectations. Distribution of Functions of a Random Variable. Expected Values. Moments and Moment Generating Functions. Differentiating Under an Integral Sign. Exercises. Miscellanea. 3. Common Families of Distributions. Introductions. Discrete Distributions. Continuous Distributions. Exponential Families. Locations and Scale Families. Inequalities and Identities. Exercises. Miscellanea. 4. Multiple Random Variables. Joint and Marginal Distributions. Conditional Distributions and Independence. Bivariate Transformations. Hierarchical Models and Mixture Distributions. Covariance and Correlation. Multivariate Distributions. Inequalities. Exercises. Miscellanea. 5. Properties of a Random Sample. Basic Concepts of Random Samples. Sums of Random Variables from a Random Sample. Sampling for the Normal Distribution. Order Statistics. Convergence Concepts. Generating a Random Sample. Exercises. Miscellanea. 6. Principles of Data Reduction. Introduction. The Sufficiency Principle. The Likelihood Principle. The Equivariance Principle. Exercises. Miscellanea. 7. Point Estimation. Introduction. Methods of Finding Estimators. Methods of Evaluating Estimators. Exercises. Miscellanea. 8. Hypothesis Testing. Introduction. Methods of Finding Tests. Methods of Evaluating Test. Exercises. Miscellanea. 9. Interval Estimation. Introduction. Methods of Finding Interval Estimators. Methods of Evaluating Interval Estimators. Exercises. Miscellanea. 10. Asymptotic Evaluations. Point Estimation. Robustness. Hypothesis Testing. Interval Estimation. Exercises. Miscellanea. 11. Analysis of Variance and Regression. Introduction. One-way Analysis of Variance. Simple Linear Regression. Exercises. Miscellanea. 12. Regression Models. Introduction. Regression with Errors in Variables. Logistic Regression. Robust Regression. Exercises. Miscellanea. Appendix. Computer Algebra. References.
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書名:數理統計 作者:黃文璋 出版社:華泰 出版日期:2003/09/00 ISBN:9789576094965 內容簡介 本書前四章可充當大學部第一門機率論,或機率與統計一年的教材,第五章至第十一章可充當數理統計一年的教材。 本書可供大學部兩年的教材,亦可供研究所數理統計一年的教材。 作為研究所之教材,本書前四章為很好的基礎機率之複習教材。本書內容豐富、取例廣泛、文字優雅、打字編排水準極高,極適合閱讀。 讀完本書對機率與統計將有一完整且清晰的概念。 目錄 第1章 基本概念 第2章 常見分佈 第3章 多維隨機變數 第4章 隨機樣本及其他 第5章 資料減縮 第6章 點估計 第7章 估計量之評比 第8章 假設與檢定 第9章 區間估計 第10章 離散資料分析 第11章 非參數方法
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