{"product_id":"9781118382790","title":"Introduction to Probability Theory and Stochastic Processes","description":"\u003ch1\u003eIntroduction to Probability Theory and Stochastic Processes\u003c\/h1\u003e\u003ch3\u003eJohn Chiasson\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Applied\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003e\u003cb\u003eA unique approach to stochastic processes that connects the mathematical formulation of random processes to their use in applications\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThis book presents an innovative approach to teaching probability theory and stochastic processes based on the binary expansion of the unit interval. Departing from standard pedagogy, it uses the binary expansion of the unit interval to explicitly construct an infinite sequence of independent random variables (of any given distribution) on a single probability space. This construction then provides the framework to understand the mathematical formulation of probability theory for its use in applications.\u003c\/p\u003e \u003cp\u003eFeatures include:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eThe theory is presented first for countable sample spaces (Chapters 1-3) and then for uncountable sample spaces (Chapters 4-18)\u003c\/li\u003e \u003cli\u003eCoverage of the explicit construction of i.i.d. random variables on a single probability space to explain why it is the distribution function rather than the functional form of random variables that matters when it comes to modeling random phenomena\u003c\/li\u003e \u003cli\u003eExplicit construction of continuous random variables to facilitate the \"digestion\" of random variables, i.e., how they are used in contrast to how they are defined\u003c\/li\u003e \u003cli\u003eExplicit construction of continuous random variables to facilitate the two views of \u003ci\u003eexpectation:\u003c\/i\u003e as integration over the underlying probability space (abstract view) or as integration using the density function (usual view)\u003c\/li\u003e \u003cli\u003eA discussion of the connections between Bernoulli, geometric, and Poisson processes\u003c\/li\u003e \u003cli\u003eIncorporation of the Johnson-Nyquist noise model and an explanation of why (and when) it is valid to use a delta function to model its autocovariance\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eComprehensive, astute, and practical, \u003ci\u003eIntroduction to Probability Theory and Stochastic Processes\u003c\/i\u003e is a clear presentation of essential topics for those studying communications, control, machine learning, digital signal processing, computer networks, pattern recognition, image processing, and coding theory.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e  \u003cp\u003e\u003cb\u003eJOHN CHIASSON, PhD,\u003c\/b\u003e is a Fellow of the IEEE and the author of \u003ci\u003eModeling and High-Performance Control of Electric Machines,\u003c\/i\u003e published by Wiley-IEEE Press.\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e08 April 2013\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9781118382790\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e992\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e52.61\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44310907224204,"sku":"9781118382790","price":152.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781118382790.jpg?v=1780205223","url":"https:\/\/lateknightbooks.com\/products\/9781118382790","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}