大葉大學圖書館 |

Stochastic integration by parts and functional Ito calculus[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.23
書名/作者:	Stochastic integration by parts and functional Ito calculus/ by Vlad Bally, Lucia Caramellino, Rama Cont ; edited by Frederic Utzet, Josep Vives.
作者:	Bally, Vlad.
其他作者:	Caramellino, Lucia.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	ix, 207 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Stochastic processes.
標題:	Calculus.
標題:	Mathematics.
標題:	Probability Theory and Stochastic Processes.
標題:	Ordinary Differential Equations.
標題:	Partial Differential Equations.
ISBN:	9783319271286
ISBN:	9783319271279
摘要、提要註:	This volume contains lecture notes from the courses given by Vlad Bally and Rama Cont at the Barcelona Summer School on Stochastic Analysis (July 2012) The notes of the course by Vlad Bally, co-authored with Lucia Caramellino, develop integration by parts formulas in an abstract setting, extending Malliavin's work on abstract Wiener spaces. The results are applied to prove absolute continuity and regularity results of the density for a broad class of random processes. Rama Cont's notes provide an introduction to the Functional Ito Calculus, a non-anticipative functional calculus that extends the classical Ito calculus to path-dependent functionals of stochastic processes. This calculus leads to a new class of path-dependent partial differential equations, termed Functional Kolmogorov Equations, which arise in the study of martingales and forward-backward stochastic differential equations. This book will appeal to both young and senior researchers in probability and stochastic processes, as well as to practitioners in mathematical finance.
電子資源:	http://dx.doi.org/10.1007/978-3-319-27128-6

Stochastic integration by parts and functional Ito calculus[electronic resource] /
Bally, Vlad.

Stochastic integration by parts and functional Ito calculus[electronic resource] /by Vlad Bally, Lucia Caramellino, Rama Cont ; edited by Frederic Utzet, Josep Vives. - Cham :Springer International Publishing :2016. - ix, 207 p. :ill., digital ;24 cm. - Advanced courses in mathematics - CRM Barcelona,2297-0304. - Advanced courses in mathematics, CRM Barcelona..

This volume contains lecture notes from the courses given by Vlad Bally and Rama Cont at the Barcelona Summer School on Stochastic Analysis (July 2012) The notes of the course by Vlad Bally, co-authored with Lucia Caramellino, develop integration by parts formulas in an abstract setting, extending Malliavin's work on abstract Wiener spaces. The results are applied to prove absolute continuity and regularity results of the density for a broad class of random processes. Rama Cont's notes provide an introduction to the Functional Ito Calculus, a non-anticipative functional calculus that extends the classical Ito calculus to path-dependent functionals of stochastic processes. This calculus leads to a new class of path-dependent partial differential equations, termed Functional Kolmogorov Equations, which arise in the study of martingales and forward-backward stochastic differential equations. This book will appeal to both young and senior researchers in probability and stochastic processes, as well as to practitioners in mathematical finance.

ISBN: 9783319271286

Standard No.: 10.1007/978-3-319-27128-6doiSubjects--Topical Terms:

177592
Stochastic processes.

LC Class. No.: QA274

Dewey Class. No.: 519.23

Stochastic integration by parts and functional Ito calculus[electronic resource] /
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245 1 0 $a Stochastic integration by parts and functional Ito calculus $h [electronic resource] / $c by Vlad Bally, Lucia Caramellino, Rama Cont ; edited by Frederic Utzet, Josep Vives.
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520 $a This volume contains lecture notes from the courses given by Vlad Bally and Rama Cont at the Barcelona Summer School on Stochastic Analysis (July 2012) The notes of the course by Vlad Bally, co-authored with Lucia Caramellino, develop integration by parts formulas in an abstract setting, extending Malliavin's work on abstract Wiener spaces. The results are applied to prove absolute continuity and regularity results of the density for a broad class of random processes. Rama Cont's notes provide an introduction to the Functional Ito Calculus, a non-anticipative functional calculus that extends the classical Ito calculus to path-dependent functionals of stochastic processes. This calculus leads to a new class of path-dependent partial differential equations, termed Functional Kolmogorov Equations, which arise in the study of martingales and forward-backward stochastic differential equations. This book will appeal to both young and senior researchers in probability and stochastic processes, as well as to practitioners in mathematical finance.
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