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This introduction to more advanced courses in probability and real analysis emphasizes the probabilistic way of thinking, rather than measure-theoretic concepts. Geared toward advanced undergraduates and graduate students, its sole prerequisite is calculus. Taking statistics as its major field of application, the text opens with a review of basic concepts, advancing to surveys of random variables, the properties of expectation, conditional probability and expectation, and characteristic functions. Subsequent topics include infinite sequences of random variables, Markov chains, and an introduction to statistics. Complete solutions to some of the problems appear at the end of the book.
This introduction to more advanced courses in probability and real analysis emphasizes the probabilistic way of thinking, rather than measure-theoretic concepts
The main intended audience for this book is undergraduate students in pure and applied sciences, especially those in engineering. Chapters 2 to 4 cover the prob
The book is an introduction to modern probability theory written by one of the famous experts in this area. Readers will learn about the basic concepts of proba
This text develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wide-ranging applications. In
This compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduc
