Probability and Statistical Inference. Robert Bartoszynski

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      1  Cover

      2  Wiley Series in Probability and Statistics

      3  Probability and Statistical Inference

      4  Copyright

      5  Dedication

      6  Preface to Third Edition

      7  Preface to Second Edition

      8  About the Companion Website

      9  Chapter 1: Experiments, Sample Spaces, and Events 1.1 Introduction 1.2 Sample Space 1.3 Algebra of Events 1.4 Infinite Operations on Events Notes

      10  Chapter 2: Probability 2.1 Introduction 2.2 Probability as a Frequency 2.3 Axioms of Probability 2.4 Consequences of the Axioms 2.5 Classical Probability 2.6 Necessity of the Axioms* 2.7 Subjective Probability* Note

      11  Chapter 3: Counting 3.1 Introduction 3.2 Product Sets, Orderings, and Permutations 3.3 Binomial Coefficients 3.4 Multinomial Coefficients Notes

      12  Chapter 4: Conditional Probability, Independence, and Markov Chains 4.1 Introduction 4.2 Conditional Probability 4.3 Partitions; Total Probability Formula 4.4 Bayes' Formula 4.5 Independence 4.6 Exchangeability; Conditional Independence 4.7 Markov Chains* Note

      13  Chapter 5: Random Variables: Univariate Case 5.1 Introduction 5.2 Distributions of Random Variables 5.3 Discrete and Continuous Random Variables 5.4 Functions of Random Variables 5.5 Survival and Hazard Functions Notes

      14  Chapter 6: Random Variables: Multivariate Case 6.1 Bivariate Distributions 6.2 Marginal Distributions; Independence 6.3 Conditional Distributions 6.4 Bivariate Transformations 6.5 Multidimensional Distributions

      15  Chapter 7: Expectation 7.1 Introduction 7.2 Expected Value 7.3 Expectation as an Integral* 7.4 Properties of Expectation 7.5 Moments 7.6 Variance 7.7 Conditional Expectation 7.8 Inequalities

      16  Chapter 8: Selected Families of Distributions 8.1 Bernoulli Trials and Related Distributions 8.2 Hypergeometric Distribution 8.3 Poisson Distribution and Poisson Process 8.4 Exponential, Gamma, and Related Distributions 8.5 Normal Distribution 8.6 Beta Distribution Notes

      17  Chapter 9: Random Samples 9.1 Statistics and Sampling Distributions 9.2 СКАЧАТЬ