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Telegraph processes and option pricing Alexander D. Kolesnik, Nikita Ratanov

Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2013 English International Available online

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Format:
Book
Author/Creator:
Kolesnik, Alexander D.
Contributor:
Ratanov, Nikita
Series:
SpringerBriefs in statistics 2191-544X
SpringerBriefs in Statistics 2191-544X
Language:
English
Subjects (All):
Mathematical statistics.
Statistics.
statistics.
Physical Description:
1 online resource
Place of Publication:
Heidelberg Springer 2013
System Details:
text file
PDF
Summary:
The telegraph process is a useful mathematical model for describing the stochastic motion of a particle that moves with finite speed on the real line and alternates between two possible directions of motion at random time instants. That is why it can be considered as the finite-velocity counterpart of the classical Einstein-Smoluchowski's model of the Brownian motion in which the infinite speed of motion and the infinite intensity of the alternating directions are assumed. The book will be interesting to specialists in the area of diffusion processes with finite speed of propagation and in financial modelling. It will also be useful for students and postgraduates who are taking their first steps in these intriguing and attractive fields
Contents:
Preface
1. Preliminaries
2. Telegraph Process on the Line
3. Functionals of Telegraph Process
4. Asymmetric Jump-Telegraph Processes
5. Financial Modelling and Option Pricing
Notes:
Includes bibliographical references and index
Other Format:
Printed edition:
ISBN:
9783642405266
3642405266
OCLC:
862577860
Publisher Number:
10.1007/978-3-642-40526-6
Access Restriction:
Restricted for use by site license

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