Introduction stochastic processes (713 Ergebnisse)

Sprache: Englisch
Verlag: Pearson College Div (edition First Edition), 1997
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Sprache: Englisch
Verlag: Prentice Hall PTR, 1975
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Sprache: Englisch
Verlag: Prentice Hall PTR, 1975
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Sprache: Englisch
Verlag: Pearson College Div, 1997
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Sprache: Englisch
Verlag: Pearson College Div, 1997
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Sprache: Englisch
Verlag: Pearson College Div, 1997
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Sprache: Englisch
Verlag: Pearson College Div, 1997
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Sprache: Englisch
Verlag: Dover Publications, 2013
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Paperback. Zustand: Good. The objective of this book is to introduce the elements of stochastic processes in a rather concise manner where we present the two most important parts -- Markov chains and stochastic analysis. The readers are led directly to the core of the main topics to be treated in the context. Further details and additional materials are left to a section containing abundant exercises for further reading and studying.In the part on Markov chains, the focus is on the ergodicity. By using the minimal nonnegative solution method, we deal with the recurrence and various types of ergodicity. This is done step by step, from finite state spaces to denumerable state spaces, and from discrete time to continuous time. The methods of proofs adopt modern techniques, such as coupling and duality methods. Some very new results are included, such as the estimate of the spectral gap. The structure and proofs in the first part are rather different from other existing textbooks on Markov chains.In the part on stochastic analysis, we cover the martingale theory and Brownian motions, the stochastic integral and stochastic differential equations with emphasis on one dimension, and the multidimensional stochastic integral and stochastic equation based on semimartingales. We introduce three important topics here: the Feynman-Kac formula, random time transform and Girsanov transform. As an essential application of the probability theory in classical mathematics, we also deal with the famous Brunn-Minkowski inequality in convex geometry.This book also features modern probability theory that is used in different fields, such as MCMC, or even deterministic areas: convex geometry and number theory. It provides a new and direct routine for students going through the classical Markov chains to the modern stochastic analysis.…

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Sprache: Englisch
Verlag: Dover Publications Inc., 2013
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Paperback. Zustand: Good. This clear presentation of the most fundamental models of random phenomena employs methods that recognize computer-related aspects of theory. The text emphasizes the modern viewpoint, in which the primary concern is the behavior of sample paths. By employing matrix algebra and recursive methods, rather than transform methods, it provides techniques readily adaptable to computing with machines.Topics include probability spaces and random variables, expectations and independence, Bernoulli processes and sums of independent random variables, Poisson processes, Markov chains and processes, and renewal theory. Assuming some background in calculus but none in measure theory, the complete, detailed, and well-written treatment is suitable for engineering students in applied mathematics and operations research courses as well as those in a wide variety of other scientific fields. Many numerical examples, worked out in detail, appear throughout the text, in addition to numerous end-of-chapter exercises and answers to selected exercises.…

Sprache: Englisch
Verlag: Wiley & Sons, Incorporated, John, 1968
Serie: Buch 8 von 358 - Wiley Series in Probability and Statistics
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Sprache: Englisch
Verlag: Wiley & Sons, Incorporated, John, 1968
Serie: Buch 8 von 358 - Wiley Series in Probability and Statistics
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Sprache: Englisch
Verlag: Dover Publications, 2013
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