Introduction to Stochastic Integration

Hui-Hsiung Kuo

ISBN 10: 0387287205 / ISBN 13: 9780387287201

Verlag: Humana, 2005

Beschreibung

Introduction to Stochastic Integration | Hui-Hsiung Kuo | Taschenbuch | Universitext | xiii | Englisch | 2005 | Humana | EAN 9780387287201 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.

Bestandsnummer des Verkäufers 102236517

Bibliografische Details

• Titel: Introduction to Stochastic Integration
• Verlag: Humana
• Erscheinungsjahr: 2005
• Sprache: Englisch
• ISBN-10: 0387287205
• ISBN-13: 9780387287201
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 17 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 17 mm
• Gewicht: 452 Gramm
• Verkäuferkataloge:
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Über diesen Titel

Inhaltsangabe

Also called Ito calculus, the theory of stochastic integration has applications in virtually every scientific area involving random functions. This introductory textbook provides a concise introduction to the Ito calculus. From the reviews: "Introduction to Stochastic Integration is exactly what the title says. I would maybe just add a ‘friendly’ introduction because of the clear presentation and flow of the contents." --THE MATHEMATICAL SCIENCES DIGITAL LIBRARY

Von der hinteren Coverseite

The theory of stochastic integration, also called the Ito calculus, has a large spectrum of applications in virtually every scientific area involving random functions, but it can be a very difficult subject for people without much mathematical background. The Ito calculus was originally motivated by the construction of Markov diffusion processes from infinitesimal generators. Previously, the construction of such processes required several steps, whereas Ito constructed these diffusion processes directly in a single step as the solutions of stochastic integral equations associated with the infinitesimal generators. Moreover, the properties of these diffusion processes can be derived from the stochastic integral equations and the Ito formula. This introductory textbook on stochastic integration provides a concise introduction to the Ito calculus, and covers the following topics:

* Constructions of Brownian motion;

* Stochastic integrals for Brownian motion and martingales;

* The Ito formula;

* Multiple Wiener-Ito integrals;

* Stochastic differential equations;

* Applications to finance, filtering theory, and electric circuits.

The reader should have a background in advanced calculus and elementary probability theory, as well as a basic knowledge of measure theory and Hilbert spaces. Each chapter ends with a variety of exercises designed to help the reader further understand the material.

Hui-Hsiung Kuo is the Nicholson Professor of Mathematics at Louisiana State University. He has delivered lectures on stochastic integration at Louisiana State University, Cheng Kung University, Meijo University, and University of Rome "Tor Vergata," among others. He is also the author of Gaussian Measures in Banach Spaces (Springer 1975), and White Noise Distribution Theory (CRC Press 1996), and a memoir of his childhood growing up in Taiwan, An Arrow Shot into the Sun (Abridge Books 2004).