出版时间:2005-1-1 出版社:清华大学出版社 作者:Irwin Miller,Marylees Miller 页数:618
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内容概要
本书是为使用概率统计较多的理工科本科生和研究生编写的有关统计推理的理论、思维和方法的教材。与当前国内一般理工科的流行教材中的统计部分相比,本书有以下特点: (1)理论难度适中,覆盖面比目前国内的中文教材略大,包括了判决理论、博弈理论、Neyman-Pearson理论、似然比检验、计数数据的统计、Bayes统计和非参数统计等内容。学习本书只需要有初等微积分与线性代数等数学知识。 (2)论述深度的把握与发展较为合理。例如,在估计方法中介绍了有效性、充分性、稳健性等理论概念。 (3)应用面较为丰富,统计思想的阐述与算法更为具体。本书在正文与习题中引用了近代统计技术和在各个应用领域中应用的大量例子,并通过统计软件Minitab利用计算机进行数值计算。 (4)语言简洁、流畅,便于阅读。
书籍目录
1 Introduction 1.1 Introduction 1.2 Combinatorial Methods 1.3 Binomial Coefficients 1.4 The Theory in Practice2 Probability 2.1 Introduction 2.2 Sample Spaces 2.3 Events 2.4 The Probability of an Event 2.5 Some Rules of Probability 2.6 Conditional Probability 2.7 Independent Events 2.8 Bayes' Theorem 2.9 The Theory in Practice3 Probability Distributions and Probability Densities 3.1 Random Variables 3.2 Probability Distributions 3.3 Continuous Random Variables 3.4 Probability Density Functions 3.5 Multivariate Distributions 3.6 marginal Distributions 3.7 Conditional Distributions 3.8 The Theory in Practice4 Mathematical Expectation 4.1 Introduction 4.2 The Expected Value of a Random Variable 4.3 Momets 4.4 Chebyshev's Theorem 4.5 Moment-Generating Functions 4.6 Product Moments 4.7 Moments of Linear Combinations of Random Variables……5 Special Probability Distributions6 Special Probability Densities 7 Functions of Random Variables8 Sampling Distributions 9 Decision Theory10 Point Estimation11 Interval Estimation12 Hypothesis Testing13 Tests of Hypothesis Involving Means, Variances, and Proportions14 Regression and Correlation15 Design and Analysis of Experiments16 Nonparametric TestsAPPENDICESStatistical TablesAnswers to Odd-Numbered ExercisesIndex
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