{"product_id":"an-introduction-to-probability-theory-and-its-applications-volume-1-isbn-9780471257080","title":"An Introduction to Probability Theory and Its Applications, Volume 1","description":"\u003cp\u003e\u003cb\u003eA complete guide to the theory and practical applications of probability theory\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eAn Introduction to Probability Theory and Its Applications\u003c\/i\u003e uniquely blends a comprehensive overview of probability theory with the real-world application of that theory. Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatorial analysis, fluctuations in coin tossing and random walks, the combination of events, types of distributions, Markov chains, stochastic processes, and more. The book's comprehensive approach provides a complete view of theory along with enlightening examples along the way.\u003c\/p\u003e Introduction: The Nature of Probability Theory.\u003cbr\u003e The Sample Space.\u003cbr\u003e Elements of Combinatorial Analysis.\u003cbr\u003e Fluctuations in Coin Tossing and Random Walks.\u003cbr\u003e Combination of Events.\u003cbr\u003e Conditional Probability.\u003cbr\u003e Stochastic Independence.\u003cbr\u003e The Binomial and Poisson Distributions.\u003cbr\u003e The Normal Approximation to the Binomial Distribution.\u003cbr\u003e Unlimited Sequences of Bernoulli Trials.\u003cbr\u003e Random Variables;\u003cbr\u003e Expectation.\u003cbr\u003e Laws of Large Numbers.\u003cbr\u003e Integral Valued Variables.\u003cbr\u003e Generating Functions.\u003cbr\u003e Compound Distributions.\u003cbr\u003e Branching Processes.\u003cbr\u003e Recurrent Events.\u003cbr\u003e Renewal Theory.\u003cbr\u003e Random Walk and Ruin Problems.\u003cbr\u003e Markov Chains.\u003cbr\u003e Algebraic Treatment of Finite Markov Chains.\u003cbr\u003e The Simplest Time-Dependent Stochastic Processes.\u003cbr\u003e Answers to Problems.  \u003cp\u003eWilliam \"Vilim\" Feller was a Croatian-American mathematician specializing in probability theory.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988729282789,"sku":"NP9780471257080","price":210.5,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471257080.jpg?v=1761781359","url":"https:\/\/k12savings.com\/es\/products\/an-introduction-to-probability-theory-and-its-applications-volume-1-isbn-9780471257080","provider":"K12savings","version":"1.0","type":"link"}