An Introduction to Continuous-Time Stochastic Processes: Theory, Models, and Applications to Finance, Biology, and Medicine (Modeling and Simulation in Science, Engineering and Technology)

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Synopsis
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 processesStochastic differential equationsArbitrage-free markets and financial derivativesInsurance riskPopulation dynamics, and epidemicsAgent-based modelsNew to the Third Edition:Infinitely divisible distributionsRandom measuresLevy processesFractional Brownian motionErgodic theoryKarhunen-Loeve expansionAdditional applicationsAdditional exercisesSmoluchowski approximation of Langevin systemsAn 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
Copyright:
2015

Book Details

Book Quality:
Publisher Quality
ISBN-13:
9780817683467
Related ISBNs:
9780817683450
Publisher:
Springer New York, New York, NY
Date of Addition:
Copyrighted By:
Springer
Adult content:
No
Language:
English
Has Image Descriptions:
No
Categories:
Nonfiction, Science, Business and Finance, Mathematics and Statistics, Medicine
Submitted By:
Bookshare Staff
Usage Restrictions:
This is a copyrighted book.

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