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Englisch
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Beschreibung
This book introduces the theory of stochastic processes with applications taken from physics and finance. Fundamental concepts like the random walk or Brownian motion but also Levy-stable distributions are discussed. Applications are selected to show the interdisciplinary character of the concepts and methods. In the second edition of the book a discussion of extreme events ranging from their mathematical definition to their importance for financial crashes was included. The exposition of basic notions of probability theory and the Brownian motion problem as well as the relation between conservative diffusion processes and quantum mechanics is expanded. The second edition also enlarges the treatment of financial markets. Beyond a presentation of geometric Brownian motion and the Black-Scholes approach to option pricing as well as the econophysics analysis of the stylized facts of financial markets, an introduction to agent based modeling approaches is given.
This book introduces the theory of stochastic processes with applications taken from physics and finance. Fundamental concepts like the random walk or Brownian motion but also Levy-stable distributions are discussed. Applications are selected to show the interdisciplinary character of the concepts and methods. In the second edition of the book a discussion of extreme events ranging from their mathematical definition to their importance for financial crashes was included. The exposition of basic notions of probability theory and the Brownian motion problem as well as the relation between conservative diffusion processes and quantum mechanics is expanded. The second edition also enlarges the treatment of financial markets. Beyond a presentation of geometric Brownian motion and the Black-Scholes approach to option pricing as well as the econophysics analysis of the stylized facts of financial markets, an introduction to agent based modeling approaches is given.
Zusammenfassung
Contains a careful treatment of Levy processes
Displays classical and modern examples for the application of stochastic processes
Introduces stochastic processes in finance for natural scientists
Presents the physicists view on financial markets
Discusses econophysics of financial crashes
Includes supplementary material: [...]
Inhaltsverzeichnis
A First Glimpse of Stochastic Processes.- A Brief Survey of the Mathematics of Probability Theory.- Diffusion Processes.- Beyond the Central Limit Theorem: Lévy Distributions.- Modeling the Financial Market.- Stable Distributions Revisited.- Hyperspherical Polar Coordinates.- The Weierstrass Random Walk Revisited.- The Exponentially Truncated Lévy Flight.- Put-Call Parity.- Geometric Brownian Motion.
Details
Erscheinungsjahr: | 2013 |
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Fachbereich: | Astronomie |
Genre: | Mathematik, Medizin, Naturwissenschaften, Physik, Technik |
Rubrik: | Naturwissenschaften & Technik |
Thema: | Lexika |
Medium: | Buch |
Inhalt: |
xiii
280 S. 43 s/w Illustr. 280 p. 43 illus. |
ISBN-13: | 9783319003269 |
ISBN-10: | 3319003267 |
Sprache: | Englisch |
Herstellernummer: | 86232776 |
Einband: | Gebunden |
Autor: |
Baschnagel, Jörg
Paul, Wolfgang |
Auflage: | 2nd edition 2013 |
Hersteller: |
Springer International Publishing
Springer International Publishing AG |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 241 x 160 x 21 mm |
Von/Mit: | Jörg Baschnagel (u. a.) |
Erscheinungsdatum: | 26.07.2013 |
Gewicht: | 0,612 kg |