Hybrid Switching Diffusions: Properties and Applications

Author:   G. George Yin ,  Chao Zhu
Publisher:   Springer-Verlag New York Inc.
Edition:   2010 ed.
Volume:   63
ISBN:  

9781461424703


Pages:   398
Publication Date:   25 February 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Hybrid Switching Diffusions: Properties and Applications


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Full Product Details

Author:   G. George Yin ,  Chao Zhu
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2010 ed.
Volume:   63
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   0.635kg
ISBN:  

9781461424703


ISBN 10:   1461424704
Pages:   398
Publication Date:   25 February 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

and Motivation.- Basic Properties, Recurrence, Ergodicity.- Switching Diffusion.- Recurrence.- Ergodicity.- Numerical Solutions and Approximation.- Numerical Approximation.- Numerical Approximation to Invariant Measures.- Stability.- Stability.- Stability of Switching ODEs.- Invariance Principles.- Two-time-scale Modeling and Applications.- Positive Recurrence: Weakly Connected Ergodic Classes.- Stochastic Volatility Using Regime-Switching Diffusions.- Two-Time-Scale Switching Jump Diffusions.

Reviews

From the reviews: “The book Hybrid Switching Diffusions provides a remarkable coverage of up-to-date, cutting-edge research results on switching diffusions. … As I read through the book, I was impressed by the vast number of topics covered as well as the level of technical details. … provides a thorough, up-to-date development of regime-switching diffusions. It provides a valuable reference for applied mathematicians and control scientists. The book can also be useful to researchers in other application fields who seek suitable mathematical models that may fit their own systems.” (Ruihua Liu, IEEE Control Systems Magazine, Vol. 30, October, 2010) “This book is written for scientists, engineers, and financial analysts interested in processes described by the coexistence of discrete events and continuous dynamics. Among the topics treated are existence and uniqueness of solutions of switching diffusion equations, regularity, well posedness, recurrence, ergodicity, stability, numerical methods, and two-time-scale processes.” (IEEE Control Systems Magazine, Vol. 30, June, 2010)


From the reviews: The book Hybrid Switching Diffusions provides a remarkable coverage of up-to-date, cutting-edge research results on switching diffusions. As I read through the book, I was impressed by the vast number of topics covered as well as the level of technical details. provides a thorough, up-to-date development of regime-switching diffusions. It provides a valuable reference for applied mathematicians and control scientists. The book can also be useful to researchers in other application fields who seek suitable mathematical models that may fit their own systems. (Ruihua Liu, IEEE Control Systems Magazine, Vol. 30, October, 2010) This book is written for scientists, engineers, and financial analysts interested in processes described by the coexistence of discrete events and continuous dynamics. Among the topics treated are existence and uniqueness of solutions of switching diffusion equations, regularity, well posedness, recurrence, ergodicity, stability, numerical methods, and two-time-scale processes. (IEEE Control Systems Magazine, Vol. 30, June, 2010)


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