高等学校教材·概率论与数理统计

书籍目录

1  Introduction2  Probability    2.1  Sample Space    2.2  Events    2.3  Probability of Events    2.4  Laws of Probability    2.5  Conditional Probability    2.6  Bayes' Rule    Exercises 23  Random Variables    3.1  Definition of Random Variables    3.2  Discrete Random Variables    3.3  Expectation and Variance    3.4  Binomial Distribution    3.5  Poisson Distribution    Exercises 34  Continuous Random Variables    4.1  Continuous Random Variables    4.2  Uniform Distribution    4.3  Normal Distribution    4.4  Normal Approximation to the Binomial Distribution    4.5  Exponential Distribution    4.6  Function of Random Variables    4.7  Chebyshev's Theorem    Exercises 45  Random Vectors and Joint Probability Distributions    5.1  Concept of Joint Probability Distributions    5.2  Conditional Distribution    5.3  Statistical Independent    5.4  Covariance and Correlation    5.5  Law of Large Numbers and Central Limit Theorem    Exercises 56  Fundamental Sampling Distributions and Data Descriptions    6.1  Analysis of Data    6.2  Random Sampling    6.3  Statistics    6.4  Sample Distributions    6.5  Chi-square Distribution    6.6  Student's Distribution (t-Distribution)    6.7  F-Distribution    Exercises 67  Estimation Problems    7.1  Point Estimation    7.2  Interval Estimation    7.3  Determination of the Sample Size    7.4  Maximum Likelihood Estimation    Exercises 78  Testing Hypothesis    8.1  Statistical Hypothesis:General Concepts    8.2  Testing a Statistical Hypothesis    8.3  Hypothesis Concerning Mean    8.4  Hypothesis Concerning Variance    8.5  Relationship to Confidence Interval Estimation    8.6  Tests for Proportion    8.7  Tests for Independence    8.8  Goodness-of-Fit Test    Exercises 89  Nonparametric Statistics    9.1 Sign Test    9.2  Rank-Sum Test    9.3  Signed-Rank Test    Exercises 910  Regression and Correlation    10.1  Introduction    10.2  Simple Linear Regression Equation    10.3  Parameter Estimation    10.4  Tests the Usefulness of the Linear Regression Model    10.5  Predictions    10.6  Multiple Linear Regression    10.7  Linearizable Models    10.8  Normal Correlation Model    Exercises 1011  Analysis of Variance    11.1  Introduction    11.2  One-Way Analysis of Variance    11.3  Two-Way Analysis of Variance    Exercises 11Answer to ExercisesReview ExercisesAppendixReferences

作者简介

《高等学校教材•概率论与数理统计(英文版)》介绍了随机事件及其概率、随机变量与概率分布、连续型随机变量、多维随机变量和中心极限定理、统计描述、参数估计、假设检验、非参数统计、回归分析以及方差分析。

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