Roussas G. An Introduction to Probability and Statistical Inference 3ed 2024

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Roussas G. An Introduction to Probability and Statistical Inference 3ed 2024

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Textbook in PDF format An Introduction to Probability and Statistical Inference, Third Edition, guides the reader through probability models and statistical methods to develop critical-thinking skills. Written by award-winning author George Roussas, this valuable text introduces a thinking process to help them obtain the best solution to a posed question or situation, and provides a plethora of examples and exercises to illustrate applying statistical methods to different situations. Offers a relatively rigorous, yet accessible, mathematical discussion of probability theory and statistical inference important to students in a broad variety of disciplines. Includes relevant proofs and exercises with useful hints to their solutions. Provides brief answers to even-numbered exercises at the back of the book and detailed solutions to all exercises available to qualified instructors in the Solutions Manual. About the author. Preface. Some motivating examples and some fundamental concepts. The concept of probability and basic results. Numerical characteristics of a random variable, some special random variables. Joint and conditional p.d.f.’s, conditional expectation and variance, moment generating function, covariance, and correlation coefficient. Independence of random variables and some applications. Transformation of random variables. Some modes of convergence of random variables, applications. An overview of statistical inference. Point estimation. Confidence intervals and confidence regions. Testing hypotheses. More about testing hypotheses. A simple linear regression model. Two models of analysis of variance. Some topics in nonparametric inference. Appendix. Tables. Some notation and abbreviations. Answers to even-numbered exercises. Index