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Capasso / Bakstein

An Introduction to Continuous-Time Stochastic Processes

Theory, Models, and Applications to Finance, Biology, and Medicine

Medium: Buch
ISBN: 978-1-4939-3836-0
Verlag: Springer
Erscheinungstermin: 09.10.2016
Lieferfrist: bis zu 10 Tage

This textbook, now in its third edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Key topics include: Markov processes Stochastic differential equations Arbitrage-free markets and financial derivatives Insurance risk Population dynamics, and epidemics Agent-based models New to the Third Edition: Infinitely divisible distributions Random measures Levy processes Fractional Brownian motion Ergodic theory Karhunen-Loeve expansion Additional applications Additional exercises Smoluchowski approximation of Langevin systems An Introduction to Continuous-Time Stochastic Processes, Third Edition will be ofinterest to a broad audience of students, pure and applied mathematicians, and researchers and practitioners in mathematical finance, biomathematics, biotechnology, and engineering. Suitable as a textbook for graduate or undergraduate courses, as well as European Masters courses (according to the two-year-long second cycle of the “Bologna Scheme”), the work may also be used for self-study or as a reference. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided. From reviews of previous editions: "The book is. an account of fundamental concepts as they appear in relevant modern applications and literature. The book addresses three main groups: first, mathematicians working in a different field; second, other scientists and professionals from a business or academic background; third, graduate or advanced undergraduate students of a quantitative subject related to stochastic theory and/or applications." -Zentralblatt MATH


Produkteigenschaften


  • Artikelnummer: 9781493938360
  • Medium: Buch
  • ISBN: 978-1-4939-3836-0
  • Verlag: Springer
  • Erscheinungstermin: 09.10.2016
  • Sprache(n): Englisch
  • Auflage: Softcover Nachdruck of the original 3rd Auflage 2015
  • Serie: Modeling and Simulation in Science, Engineering and Technology
  • Produktform: Kartoniert, Paperback
  • Gewicht: 7489 g
  • Seiten: 482
  • Format (B x H x T): 155 x 235 x 27 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

Part I: Theory of Stochastic Processes.- Fundamentals of Probability.- Stochastic Processes.- The Itô Integral.- Stochastic Differential Equations.- Stability, Stationary, Ergodicity.- Part II: Applications of Stochastic Processes.- Applications to Finance and Insurance.- Applications to Biology and Medicine.- Measure and Integration.- Convergence of Probability Measures on Metric Spaces.- Appendices.