| Description |
1 online resource (xxxvii, 709 pages) : illustrations |
| Contents |
Probability theory and random variables -- Random variables: conditioning, convergence and simulation -- An introduction to stochastic processes -- Stochastic calculus and diffusion processes -- Numerical solutions to stochastic differential equations -- Non-linear stochastic filtering and recursive Monte Carlo estimation -- Non-linear filters with gain-type additive updates -- Improved numerical solutions to SDEs by change of measures -- Evolutionary global optimization via change of measures: a Martingale route -- COMBEO: a new global optimization scheme by change of measures |
| Summary |
Targeted at graduate students, researchers and practitioners in the field of science and engineering, this book gives a self-contained introduction to a measure-theoretic framework in laying out the definitions and basic concepts of random variables and stochastic diffusion processes. It then continues to weave into a framework of several practical tools and applications involving stochastic dynamical systems. These include tools for the numerical integration of such dynamical systems, nonlinear stochastic filtering and generalized Bayesian update theories for solving inverse problems and a new stochastic search technique for treating a broad class of non-convex optimization problems. MATLAB® codes for all the applications are uploaded on the companion website |
| Bibliography |
Includes bibliographical references (pages 673-699) and index |
| Notes |
Print version record |
| Subject |
Random variables -- Textbooks
|
|
Probabilities -- Textbooks
|
|
Stochastic processes -- Textbooks
|
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Probabilities
|
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Random variables
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Stochastic processes
|
| Genre/Form |
Textbooks
|
| Form |
Electronic book
|
| Author |
G., Visweswara Rao (Gorti), author.
|
| ISBN |
9781316863107 |
|
1316863107 |
|
