Capasso, Vincenzo. <br/><br/>
An Introduction to Continuous-Time Stochastic Processes  Theory, Models, and Applications to Finance, Biology, and Medicine /  [electronic resource] : 
by Vincenzo Capasso, David Bakstein. 
 - XI, 343p. 13 illus.  online resource. 
 - Modeling and Simulation in Science, Engineering and Technology .
 - Modeling and Simulation in Science, Engineering and Technology .
<br/><br/>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. 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9780817644284 99780817644284 
<br/><br/><label>Standard No.: </label>10.1007/b138900  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>MATHEMATICS.<br/>BIOLOGY--MATHEMATICS.<br/>FINANCE.<br/>DISTRIBUTION (PROBABILITY THEORY).<br/>ENGINEERING MATHEMATICS.<br/>MATHEMATICS.<br/>PROBABILITY THEORY AND STOCHASTIC PROCESSES.<br/>MATHEMATICAL MODELING AND INDUSTRIAL MATHEMATICS.<br/>APPLICATIONS OF MATHEMATICS.<br/>MATHEMATICAL BIOLOGY IN GENERAL.<br/>QUANTITATIVE FINANCE.<br/>APPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
<br/><br/><label>Dewey Class. No.: </label>519.2