This book is compiled based on the authors' more than ten years of experiences in teaching the course of Probability and Statistics for students from School of International Education, Wuhan University of Technology. This book covers nine chapters, i.e., Probability of Events, Random Variables and Distributions, Multivariate Random Variables, Numerical Characteristics of Random Variables, Law of Large Numbers and Central Limit Theorems, Random Samples and Sampling Distributions, Parametric Estimation, Hypotheses Testing, and Some Background Materials. Each chapter is followed by rich and typical exercises. The book should be most suitable to non-math major undergraduate students who study Probability and Statistics as the bilingual course.
作者简介：
章节目录：
Contents 1Probability of Events1 1.1Experiments and Events 1 1.2Set Theory3 1.3Frequency and Probability6 1.4The Classical Probability9 1.5Geometrical Probability12 1.6Conditional Probability13 1.7Independence of Events20
2Random Variables and Distributions27 2.1Random Variables and Distribution Functions27 2.2Discrete Random Variables31 2.3Continuous Random Variables39 2.4Functions of a Random Variable47
3Multivariate Random Variables53 3.1Bivariate Random Variables53 3.2Marginal Distributions59 3.3Conditional Distributions61 3.4Independent Random Variables64 3.5Functions of Two or More Random Variables66 3.6Multivariate Distributions72
4Numerical Characteristics of Random Variables76 4.1Mathematical Expectation76 4.2Variance81 4.3Covariance and Correlation Coefficient84 4.4Moments87
5Law of Large Numbers and Central Limit Theorems91 5.1Law of Large Numbers91 5.2Central Limit Theorems95
6Random Samples and Sampling Distributions99 6.1Random Samples99 6.2Sampling Distributions101
7Parametric Estimation113 7.1Point Estimation113 7.2Evaluation of Estimators117 7.3Interval Estimation121
8Testing Hypotheses130 8.1Problems of Testing Hypotheses130 8.2Testing Hypotheses about Normal Distribution134 8.3Pvalue146
Appendix 1Table of Binomial Probabilities168 Apperdix 2Table of Poisson Probabilities171 Appendix 3Table of Standard Normal Distribution174 Appendix 4Table of the t Distribution176 Appendix 5Table of the 2 Distribution178 Appendix 6Table of the F Distribution181 Appendix 7Key to exercises189
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