Probability and Statistics（概率论与数理统计） pdf 夸克云 tct umd 下载 2025 azw3 kindle

AbstractThis 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 Distributi***, Multivariate Random Variables, Numerical Characteristics of Random Variables, Law of Large Numbers and Central Limit Theorems, Random Samples and Sampling Distributi***, 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.

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 Distributi***27 

2.1Random Variables and Distribution Functi***27 

2.2Discrete Random Variables31 

2.3Continuous Random Variables39 

2.4Functi*** of a Random Variable47 3Multivariate Random Variables53 

3.1Bivariate Random Variables53 

3.2Marginal Distributi***59 

3.3Conditional Distributi***61 

3.4Independent Random Variables64 

3.5Functi*** of Two or More Random Variables66 

3.6Multivariate Distributi***72 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 Distributi***99 

6.1Random Samples99 

6.2Sampling Distributi***101 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.***value146 9Some background Materials157 

9.1Permutati***157 

9.2kPermutati***160 

9.3Combinati***163 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 References199 

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