Introduction stochastic calculus (134 Ergebnisse)

Sprache: Englisch
Verlag: CRC Press LLC, 1996
Serie: Buch 20 von 71 - Chapman and Hall/CRC Financial Mathematics
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Sprache: Englisch
Verlag: Springer, 1996
Serie: Buch 20 von 71 - Chapman and Hall/CRC Financial Mathematics
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Paperback. Zustand: Very Good. This book presents a concise and rigorous treatment of stochastic calculus. It also gives its main applications in finance, biology and engineering. In finance, the stochastic calculus is applied to pricing options by no arbitrage. In biology, it is applied to populations' models, and in engineering it is applied to filter signal from noise. Not everything is proved, but enough proofs are given to make it a mathematically rigorous exposition.This book aims to present the theory of stochastic calculus and its applications to an audience which possesses only a basic knowledge of calculus and probability. It may be used as a textbook by graduate and advanced undergraduate students in stochastic processes, financial mathematics and engineering. It is also suitable for researchers to gain working knowledge of the subject. It contains many solved examples and exercises making it suitable for self study.In the book many of the concepts are introduced through worked-out examples, eventually leading to a complete, rigorous statement of the general result, and either a complete proof, a partial proof or a reference. Using such structure, the text will provide a mathematically literate reader with rapid introduction to the subject and its advanced applications. The book covers models in mathematical finance, biology and engineering. For mathematicians, this book can be used as a first text on stochastic calculus or as a companion to more rigorous texts by a way of examples and exercises.…

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Paperback. Zustand: Good. This book presents a concise treatment of stochastic calculus and its applications. It gives a simple but rigorous treatment of the subject including a range of advanced topics, it is useful for practitioners who use advanced theoretical results. It covers advanced applications, such as models in mathematical finance, biology and engineering.Self-contained and unified in presentation, the book contains many solved examples and exercises. It may be used as a textbook by advanced undergraduates and graduate students in stochastic calculus and financial mathematics. It is also suitable for practitioners who wish to gain an understanding or working knowledge of the subject. For mathematicians, this book could be a first text on stochastic calculus; it is good companion to more advanced texts by a way of examples and exercises. For people from other fields, it provides a way to gain a working knowledge of stochastic calculus. It shows all readers the applications of stochastic calculus methods and takes readers to the technical level required in research and sophisticated modelling.This second edition contains a new chapter on bonds, interest rates and their options. New materials include more worked out examples in all chapters, best estimators, more results on change of time, change of measure, random measures, new results on exotic options, FX options, stochastic and implied volatility, models of the age-dependent branching process and the stochastic Lotka-Volterra model in biology, non-linear filtering in engineering and five new figures.Instructors can obtain slides of the text from the author.Sample Chapter(s).…

Sprache: Englisch
Verlag: Springer (edition 1st ed. 2017), 2017
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Paperback. Zustand: Very Good. 1st ed. 2017. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.

Sprache: Englisch
Verlag: Springer International Publishing AG, 2017
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Paperback. Zustand: Good. The core of the book covers stochastic calculus, including stochastic differential equations, the relationship to partial differential equations, numerical methods and simulation, as well as applications of stochastic processes to finance.

Sprache: Englisch
Verlag: Springer, 1996
Serie: Buch 20 von 71 - Chapman and Hall/CRC Financial Mathematics
- Hardcover
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Jun 13, 1996. Zustand: Used: Very Good. Inkl. Rechnung nach §19 - Buch stammt aus aufgelà ster Lehrbuchsammlung, Label, Stempel und Notizen mà glich.

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Sprache: Englisch
Verlag: CRC Press, 1996
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Hardback. Zustand: Good. This compact yet thorough text zeros in on the parts of the theory that are particularly relevant to applications . It begins with a description of Brownian motion and the associated stochastic calculus, including their relationship to partial differential equations. It solves stochastic differential equations by a variety of methods and studies in detail the one-dimensional case. The book concludes with a treatment of semigroups and generators, applying the theory of Harris chains to diffusions, and presenting a quick course in weak convergence of Markov chains to diffusions.The presentation is unparalleled in its clarity and simplicity. Whether your students are interested in probability, analysis, differential geometry or applications in operations research, physics, finance, or the many other areas to which the subject applies, you'll find that this text brings together the material you need to effectively and efficiently impart the practical background they need.…

Sprache: Englisch
Verlag: Springer, 2017
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Paperback. Zustand: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged.

Sprache: Englisch
Verlag: Chapman and Hall/CRC, 2000
Serie: Buch 20 von 71 - Chapman and Hall/CRC Financial Mathematics
- Hardcover
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Sprache: Englisch
Verlag: Chapman and Hall/CRC (edition 2), 2007
Serie: Buch 20 von 71 - Chapman and Hall/CRC Financial Mathematics
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Sprache: Englisch
Verlag: CRC Press LLC, 2007
Serie: Buch 20 von 71 - Chapman and Hall/CRC Financial Mathematics
- Hardcover
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Hardback. Zustand: Good. Maintaining the lucid style of its popular predecessor, this concise and accessible introduction covers the probabilistic techniques required to understand the most widely used financial models. Along with additional exercises, this edition presents fully updated material on stochastic volatility models and option pricing.…

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Hardcover. Zustand: New. 1st Edition. Contents: 1. Discrete Parameter Martingales. 2. Continuous-Time Processes. 3. The Ito's Integral. 4. Stochastic Integration. 5. Semimartingales. 6. Pathwise Formula for the Stochastic Integral. 7. Continuous Semimartingales. 8. Predictable Increasing Processes. 9. The Davis Inequality. 10. Integral Representation of Martingales. 11. Dominating Process of a Semimartingale. 12. SDE Driven by r.c.l.l. Semimartingales. 13. Girsanov Theorem. Bibliography. Index. This book sheds new light on stochastic calculus, the branch of mathematics that is most widely applied in financial engineering and mathematical finance. The first book to introduce pathwise formulae for the stochastic integral, it provides a simple but rigorous treatment of the subject, including a range of advanced topics. The book discusses in-depth topics such as quadratic variation, Ito formula, and Emery topology. The authors briefly address continuous semi-martingales to obtain growth estimates and study solution of a stochastic differential equation (SDE) by using the technique of random time change. Later, by using MetivierPellaumail inequality, the solutions to SDEs driven by general semi-martingales are discussed. The connection of the theory with mathematical finance is briefly discussed and the book has extensive treatment on the representation of martingales as stochastic integrals and a second fundamental theorem of asset pricing. Intended for undergraduate and beginning graduate level students in the engineering and mathematics disciplines, the book is also an excellent reference resource for applied mathematicians and statisticians looking for a review of the topic. …

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Sprache: Englisch
Verlag: Independently published, 2026
Serie: Buch 1 von 1 - QuantPhi Series in Mathematical Finance
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