{"product_id":"probability-and-statistical-inference-9781119243809","title":"Probability and Statistical Inference","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eUpdated classic statistics text, with new problems and examples\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eProbability and Statistical Inference\u003c\/i\u003e, Third Edition helps students grasp essential concepts of statistics and its probabilistic foundations. This book focuses on the development of intuition and understanding in the subject through a wealth of examples illustrating concepts, theorems, and methods. The reader will recognize and fully understand the why and not just the how behind the introduced material.\u003c\/p\u003e \u003cp\u003eIn this Third Edition, the reader will find a new chapter on Bayesian statistics, 70 new problems and an appendix with the supporting R code. This book is suitable for upper-level undergraduates or first-year graduate students studying statistics or related disciplines, such as mathematics or engineering. This \u003ci\u003eThird Edition\u003c\/i\u003e:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eIntroduces an all-new chapter on Bayesian statistics and offers thorough explanations of advanced statistics and probability topics\u003c\/li\u003e \u003cli\u003eIncludes \u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface to Third Edition xi\u003c\/p\u003e \u003cp\u003ePreface to Second Edition xiii\u003c\/p\u003e \u003cp\u003eAbout the Companion Website xvi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Experiments, Sample Spaces, and Events 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction 1\u003c\/p\u003e \u003cp\u003e1.2 Sample Space 2\u003c\/p\u003e \u003cp\u003e1.3 Algebra of Events 8\u003c\/p\u003e \u003cp\u003e1.4 Infinite Operations on Events 13\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Probability 21\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 21\u003c\/p\u003e \u003cp\u003e2.2 Probability as a Frequency 21\u003c\/p\u003e \u003cp\u003e2.3 Axioms of Probability 22\u003c\/p\u003e \u003cp\u003e2.4 Consequences of the Axioms 26\u003c\/p\u003e \u003cp\u003e2.5 Classical Probability 30\u003c\/p\u003e \u003cp\u003e2.6 Necessity of the Axioms 31\u003c\/p\u003e \u003cp\u003e2.7 Subjective Probability 35\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Counting 39\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 39\u003c\/p\u003e \u003cp\u003e3.2 Product Sets, Orderings, and Permutations 39\u003c\/p\u003e \u003cp\u003e3.3 Binomial Coefficients 44\u003c\/p\u003e \u003cp\u003e3.4 Multinomial Coefficients 56\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Conditional Probability, Independence, and Markov Chains 59\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 59\u003c\/p\u003e \u003cp\u003e4.2 Conditional Probability 60\u003c\/p\u003e \u003cp\u003e4.3 Partitions; Total Probability Formula 65\u003c\/p\u003e \u003cp\u003e4.4 Bayes’ Formula 69\u003c\/p\u003e \u003cp\u003e4.5 Independence 74\u003c\/p\u003e \u003cp\u003e4.6 Exchangeability; Conditional Independence 80\u003c\/p\u003e \u003cp\u003e4.7 Markov Chains* 82\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Random Variables: Univariate Case 93\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 93\u003c\/p\u003e \u003cp\u003e5.2 Distributions of Random Variables 94\u003c\/p\u003e \u003cp\u003e5.3 Discrete and Continuous Random Variables 102\u003c\/p\u003e \u003cp\u003e5.4 Functions of Random Variables 112\u003c\/p\u003e \u003cp\u003e5.5 Survival and Hazard Functions 118\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Random Variables: Multivariate Case 123\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Bivariate Distributions 123\u003c\/p\u003e \u003cp\u003e6.2 Marginal Distributions; Independence 129\u003c\/p\u003e \u003cp\u003e6.3 Conditional Distributions 140\u003c\/p\u003e \u003cp\u003e6.4 Bivariate Transformations 147\u003c\/p\u003e \u003cp\u003e6.5 Multidimensional Distributions 155\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Expectation 163\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 163\u003c\/p\u003e \u003cp\u003e7.2 Expected Value 164\u003c\/p\u003e \u003cp\u003e7.3 Expectation as an Integral 171\u003c\/p\u003e \u003cp\u003e7.4 Properties of Expectation 177\u003c\/p\u003e \u003cp\u003e7.5 Moments 184\u003c\/p\u003e \u003cp\u003e7.6 Variance 191\u003c\/p\u003e \u003cp\u003e7.7 Conditional Expectation 202\u003c\/p\u003e \u003cp\u003e7.8 Inequalities 206\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Selected Families of Distributions 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Bernoulli Trials and Related Distributions 211\u003c\/p\u003e \u003cp\u003e8.2 Hypergeometric Distribution 223\u003c\/p\u003e \u003cp\u003e8.3 Poisson Distribution and Poisson Process 228\u003c\/p\u003e \u003cp\u003e8.4 Exponential, Gamma, and Related Distributions 240\u003c\/p\u003e \u003cp\u003e8.5 Normal Distribution 246\u003c\/p\u003e \u003cp\u003e8.6 Beta Distribution 255\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Random Samples 259\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Statistics and Sampling Distributions 259\u003c\/p\u003e \u003cp\u003e9.2 Distributions Related to Normal 261\u003c\/p\u003e \u003cp\u003e9.3 Order Statistics 266\u003c\/p\u003e \u003cp\u003e9.4 Generating Random Samples 272\u003c\/p\u003e \u003cp\u003e9.5 Convergence 276\u003c\/p\u003e \u003cp\u003e9.6 Central Limit Theorem 287\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Introduction to Statistical Inference 295\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Overview 295\u003c\/p\u003e \u003cp\u003e10.2 Basic Models 298\u003c\/p\u003e \u003cp\u003e10.3 Sampling 299\u003c\/p\u003e \u003cp\u003e10.4 Measurement Scales 305\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Estimation 309\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 309\u003c\/p\u003e \u003cp\u003e11.2 Consistency 313\u003c\/p\u003e \u003cp\u003e11.3 Loss, Risk, and Admissibility 316\u003c\/p\u003e \u003cp\u003e11.4 Efficiency 321\u003c\/p\u003e \u003cp\u003e11.5 Methods of Obtaining Estimators 328\u003c\/p\u003e \u003cp\u003e11.6 Sufficiency 345\u003c\/p\u003e \u003cp\u003e11.7 Interval Estimation 359\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Testing Statistical Hypotheses 373\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction 373\u003c\/p\u003e \u003cp\u003e12.2 Intuitive Background 377\u003c\/p\u003e \u003cp\u003e12.3 Most Powerful Tests 384\u003c\/p\u003e \u003cp\u003e12.4 Uniformly Most Powerful Tests 396\u003c\/p\u003e \u003cp\u003e12.5 Unbiased Tests 402\u003c\/p\u003e \u003cp\u003e12.6 Generalized Likelihood Ratio Tests 405\u003c\/p\u003e \u003cp\u003e12.7 Conditional Tests 412\u003c\/p\u003e \u003cp\u003e12.8 Tests and Confidence Intervals 415\u003c\/p\u003e \u003cp\u003e12.9 Review of Tests for Normal Distributions 416\u003c\/p\u003e \u003cp\u003e12.10 Monte Carlo, Bootstrap, and Permutation Tests 424\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Linear Models 429\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction 429\u003c\/p\u003e \u003cp\u003e13.2 Regression of the First and Second Kind 431\u003c\/p\u003e \u003cp\u003e13.3 Distributional Assumptions 436\u003c\/p\u003e \u003cp\u003e13.4 Linear Regression in the Normal Case 438\u003c\/p\u003e \u003cp\u003e13.5 Testing Linearity 444\u003c\/p\u003e \u003cp\u003e13.6 Prediction 447\u003c\/p\u003e \u003cp\u003e13.7 Inverse Regression 449\u003c\/p\u003e \u003cp\u003e13.8 BLUE 451\u003c\/p\u003e \u003cp\u003e13.9 Regression Toward the Mean 453\u003c\/p\u003e \u003cp\u003e13.10 Analysis of Variance 455\u003c\/p\u003e \u003cp\u003e13.11 One-Way Layout 455\u003c\/p\u003e \u003cp\u003e13.12 Two-Way Layout 458\u003c\/p\u003e \u003cp\u003e13.13 ANOVA Models with Interaction 461\u003c\/p\u003e \u003cp\u003e13.14 Further Extensions 465\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Rank Methods 467\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Introduction 467\u003c\/p\u003e \u003cp\u003e14.2 Glivenko–Cantelli Theorem 468\u003c\/p\u003e \u003cp\u003e14.3 Kolmogorov–Smirnov Tests 471\u003c\/p\u003e \u003cp\u003e14.4 One-Sample Rank Tests 478\u003c\/p\u003e \u003cp\u003e14.5 Two-Sample Rank Tests 484\u003c\/p\u003e \u003cp\u003e14.6 Kruskal–Wallis Test 488\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Analysis of Categorical Data 491\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Introduction 491\u003c\/p\u003e \u003cp\u003e15.2 Chi-Square Tests 492\u003c\/p\u003e \u003cp\u003e15.3 Homogeneity and Independence 499\u003c\/p\u003e \u003cp\u003e15.4 Consistency and Power 504\u003c\/p\u003e \u003cp\u003e15.5 2 \u003ci\u003e× \u003c\/i\u003e2 Contingency Tables 509\u003c\/p\u003e \u003cp\u003e15.6 \u003ci\u003er × c \u003c\/i\u003eContingency Tables 516\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Basics of Bayesian Statistics 521\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Introduction 521\u003c\/p\u003e \u003cp\u003e16.2 Prior and Posterior Distributions 522\u003c\/p\u003e \u003cp\u003e16.3 Bayesian Inference 529\u003c\/p\u003e \u003cp\u003e16.4 Final Comments 543\u003c\/p\u003e \u003cp\u003eAppendix A Supporting R Code 545\u003c\/p\u003e \u003cp\u003eAppendix B Statistical Tables 551\u003c\/p\u003e \u003cp\u003eBibliography 555\u003c\/p\u003e \u003cp\u003eAnswers to Odd-Numbered Problems 559\u003c\/p\u003e \u003cp\u003eIndex 571\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49407018139991,"sku":"9781119243809","price":100.76,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119243809.jpg?v=1730497894","url":"https:\/\/bookcurl.com\/products\/probability-and-statistical-inference-9781119243809","provider":"Book Curl","version":"1.0","type":"link"}