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

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 ins...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Capasso, Vincenzo (Συγγραφέας), Bakstein, David (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Boston, MA : Birkhäuser Boston, 2005.
Σειρά:Modeling and Simulation in Science, Engineering and Technology
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Capasso, Vincenzo.  |e author. 
245 1 3 |a An Introduction to Continuous-Time Stochastic Processes  |h [electronic resource] :  |b Theory, Models, and Applications to Finance, Biology, and Medicine /  |c by Vincenzo Capasso, David Bakstein. 
264 1 |a Boston, MA :  |b Birkhäuser Boston,  |c 2005. 
300 |a XIV, 344 p. 13 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Modeling and Simulation in Science, Engineering and Technology 
505 0 |a The Theory of Stochastic Processes -- Fundamentals of Probability -- Stochastic Processes -- The Itô Integral -- Stochastic Differential Equations -- The Applications of Stochastic Processes -- Applications to Finance and Insurance -- Applications to Biology and Medicine. 
520 |a 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. Key topics covered include: * Interacting particles and agent-based models: from polymers to ants * Population dynamics: from birth and death processes to epidemics * Financial market models: the non-arbitrage principle * Contingent claim valuation models: the risk-neutral valuation theory * Risk analysis in insurance An Introduction to Continuous-Time Stochastic Processes will be of interest to a broad audience of students, pure and applied mathematicians, and researchers or practitioners in mathematical finance, biomathematics, biotechnology, and engineering. Suitable as a textbook for graduate or advanced undergraduate courses, 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. 
650 0 |a Mathematics. 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 0 |a Economics, Mathematical. 
650 0 |a Mathematical models. 
650 0 |a Probabilities. 
650 0 |a Biomathematics. 
650 1 4 |a Mathematics. 
650 2 4 |a Applications of Mathematics. 
650 2 4 |a Probability Theory and Stochastic Processes. 
650 2 4 |a Mathematical Modeling and Industrial Mathematics. 
650 2 4 |a Mathematical and Computational Biology. 
650 2 4 |a Quantitative Finance. 
650 2 4 |a Appl.Mathematics/Computational Methods of Engineering. 
700 1 |a Bakstein, David.  |e author. 
710 2 |a SpringerLink (Online service) 
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950 |a Mathematics and Statistics (Springer-11649)