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An introduction to continuous-time stochastic processes[electronic resource] :theory, models, and applications to finance, biology, and medicine /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	519.23
書名/作者:	An introduction to continuous-time stochastic processes : theory, models, and applications to finance, biology, and medicine // by Vincenzo Capasso, David Bakstein.
作者:	Capasso, Vincenzo.
其他作者:
出版者:	New York, NY : : Springer New York :, 2015.
面頁冊數:	xvi, 482 p. : : ill., digital ;; 24 cm.
標題:
ISBN:	9781493927579 (electronic bk.)
ISBN:	9781493927562 (paper)
內容註:	Part I: Theory of Stochastic Processes -- Fundamentals of Probability -- Stochastic Processes -- The Ito 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.
摘要、提要註:	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 of interest 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.# 0

An introduction to continuous-time stochastic processes[electronic resource] :theory, models, and applications to finance, biology, and medicine /
Capasso, Vincenzo.

An introduction to continuous-time stochastic processestheory, models, and applications to finance, biology, and medicine /[electronic resource] :by Vincenzo Capasso, David Bakstein. - 3rd ed. - New York, NY :Springer New York :2015. - xvi, 482 p. :ill., digital ;24 cm. - Modeling and simulation in science, engineering and technology,2164-3679.

Part I: Theory of Stochastic Processes -- Fundamentals of Probability -- Stochastic Processes -- The Ito 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.

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 of interest 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.# 0

ISBN: 9781493927579 (electronic bk.)

Standard No.: 10.1007/978-1-4939-2757-9doiSubjects--Topical Terms:

353965

LC Class. No.: QA274

Dewey Class. No.: 519.23

An introduction to continuous-time stochastic processes[electronic resource] :theory, models, and applications to finance, biology, and medicine /
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