Affine Diffusions and Related Processes: Simulation, Theory and Applications

This book gives an overview of affine diffusions, from Ornstein-Uhlenbeck processes to Wishart processes and it considers some related diffusions such as Wright-Fisher processes. It focuses on different simulation schemes for these processes, especially second-order schemes for the weak error. It al...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Alfonsi, Aurélien (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
Σειρά:Bocconi & Springer Series, Mathematics, Statistics, Finance and Economics, 6
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Affine Diffusions and Related Processes: Simulation, Theory and Applications  |h [electronic resource] /  |c by Aurélien Alfonsi. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2015. 
300 |a XIII, 252 p. 17 illus., 16 illus. in color.  |b online resource. 
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490 1 |a Bocconi & Springer Series, Mathematics, Statistics, Finance and Economics,  |x 2039-1471 ;  |v 6 
505 0 |a 1 Real valued affine diffusions -- 2 An introduction to simulation schemes for SDEs -- 3 Simulation of the CIR process -- 4 The Heston model and multidimensional affine diffusions -- 5 Wishart processes and affine diffusions on positive semidefinite matrices -- 6 Processes of Wright-Fisher type -- 7 Appendix A Some results on matrices -- 8 Appendix B Simulation of a gamma random variable. 
520 |a This book gives an overview of affine diffusions, from Ornstein-Uhlenbeck processes to Wishart processes and it considers some related diffusions such as Wright-Fisher processes. It focuses on different simulation schemes for these processes, especially second-order schemes for the weak error. It also presents some models, mostly in the field of finance, where these methods are relevant and provides some numerical experiments. The book explains the mathematical background to understand affine diffusions and analyze the accuracy of the schemes.  . 
650 0 |a Mathematics. 
650 0 |a Economics, Mathematical. 
650 0 |a Computer mathematics. 
650 0 |a Probabilities. 
650 0 |a Biomathematics. 
650 0 |a Statistics. 
650 1 4 |a Mathematics. 
650 2 4 |a Quantitative Finance. 
650 2 4 |a Statistics for Business/Economics/Mathematical Finance/Insurance. 
650 2 4 |a Probability Theory and Stochastic Processes. 
650 2 4 |a Computational Mathematics and Numerical Analysis. 
650 2 4 |a Mathematical and Computational Biology. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319052205 
830 0 |a Bocconi & Springer Series, Mathematics, Statistics, Finance and Economics,  |x 2039-1471 ;  |v 6 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-05221-2  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)