數(shù)理統(tǒng)計與應(yīng)用

內(nèi)容概要

本書是為使用概率統(tǒng)計較多的理工科本科生和研究生編寫的有關(guān)統(tǒng)計推理的理論、思維和方法的教材。與當(dāng)前國內(nèi)一般理工科的流行教材中的統(tǒng)計部分相比，本書有以下特點(diǎn)： 　?。?）理論難度適中，覆蓋面比目前國內(nèi)的中文教材略大，包括了判決理論、博弈理論、Neyman-Pearson理論、似然比檢驗(yàn)、計數(shù)數(shù)據(jù)的統(tǒng)計、Bayes統(tǒng)計和非參數(shù)統(tǒng)計等內(nèi)容。學(xué)習(xí)本書只需要有初等微積分與線性代數(shù)等數(shù)學(xué)知識。 　　（2）論述深度的把握與發(fā)展較為合理。例如，在估計方法中介紹了有效性、充分性、穩(wěn)健性等理論概念。     （3）應(yīng)用面較為豐富，統(tǒng)計思想的闡述與算法更為具體。本書在正文與習(xí)題中引用了近代統(tǒng)計技術(shù)和在各個應(yīng)用領(lǐng)域中應(yīng)用的大量例子，并通過統(tǒng)計軟件Minitab利用計算機(jī)進(jìn)行數(shù)值計算。 　?。?）語言簡潔、流暢，便于閱讀。

書籍目錄

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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