An Introduction to Continuous-Time Stochastic Processes: Theory, Models, and Applications to Finance, Biology, and Medicine

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Expanding on the first edition of An Introduction to Continuous-Time Stochastic Processes, this concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. A balance of 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.

Author(s): Vincenzo Capasso, David Bakstein (auth.)
Series: Modeling and Simulation in Science, Engineering and Technology
Edition: 2
Publisher: Birkhäuser Basel
Year: 2012

Language: English
Pages: 434
City: Boston
Tags: Probability Theory and Stochastic Processes; Mathematical Modeling and Industrial Mathematics; Quantitative Finance; Mathematical and Computational Biology; Applications of Mathematics; Appl.Mathematics/Computational Methods of Engineeri

Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Fundamentals of Probability....Pages 3-76
Stochastic Processes....Pages 77-171
The ItĂ´ Integral....Pages 173-212
Stochastic Differential Equations....Pages 213-273
Front Matter....Pages 275-275
Applications to Finance and Insurance....Pages 277-310
Applications to Biology and Medicine....Pages 311-358
Back Matter....Pages 359-434