000 03533nam a22005295i 4500
001 978-0-8176-4428-4
003 DE-He213
005 20251006084434.0
007 cr nn 008mamaa
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780817644284
020 _a99780817644284
024 7 _a10.1007/b138900
_2doi
082 0 4 _a519.2
_223
100 1 _aCapasso, Vincenzo.
_eauthor.
245 1 3 _aAn Introduction to Continuous-Time Stochastic Processes
_h[electronic resource] :
_bTheory, Models, and Applications to Finance, Biology, and Medicine /
_cby Vincenzo Capasso, David Bakstein.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2005.
300 _aXI, 343p. 13 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aModeling and Simulation in Science, Engineering and Technology
505 0 _aThe Theory of Stochastic Processes -- Fundamentals of Probability -- Stochastic Processes -- The ItĂ´ Integral -- Stochastic Differential Equations -- The Applications of Stochastic Processes -- Applications to Finance and Insurance -- Applications to Biology and Medicine.
520 _aThis 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 _aMATHEMATICS.
650 0 _aBIOLOGY
_xMATHEMATICS.
650 0 _aFINANCE.
650 0 _aDISTRIBUTION (PROBABILITY THEORY).
650 0 _aENGINEERING MATHEMATICS.
650 1 4 _aMATHEMATICS.
650 2 4 _aPROBABILITY THEORY AND STOCHASTIC PROCESSES.
650 2 4 _aMATHEMATICAL MODELING AND INDUSTRIAL MATHEMATICS.
650 2 4 _aAPPLICATIONS OF MATHEMATICS.
650 2 4 _aMATHEMATICAL BIOLOGY IN GENERAL.
650 2 4 _aQUANTITATIVE FINANCE.
650 2 4 _aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
700 1 _aBakstein, David.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817632342
830 0 _aModeling and Simulation in Science, Engineering and Technology
856 4 0 _uhttp://dx.doi.org/10.1007/b138900
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59629
_d59629