000 02095 a2200241 4500
008 240328b |||||||| |||| 00| 0 eng d
020 _a9781107008007
082 _a519.232 BAS
100 _aBass, Richard F.
245 _aStochastic processes
260 _aCambridge:
_bCambridge University Press,
_c2013.
300 _axv, 390p.:
_bhbk.:
_c24cm.
440 _aCambridge Series in Statistical and Probabilistic Mathematics
504 _aIncludes References and Index
520 _aThis comprehensive guide to stochastic processes gives a complete overview of the theory and addresses the most important applications. Pitched at a level accessible to beginning graduate students and researchers from applied disciplines, it is both a course book and a rich resource for individual readers. Subjects covered include Brownian motion, stochastic calculus, stochastic differential equations, Markov processes, weak convergence of processes and semigroup theory. Applications include the Black–Scholes formula for the pricing of derivatives in financial mathematics, the Kalman–Bucy filter used in the US space program and also theoretical applications to partial differential equations and analysis. Short, readable chapters aim for clarity rather than full generality. More than 350 exercises are included to help readers put their new-found knowledge to the test and to prepare them for tackling the research literature. Unlike existing books, is uniquely designed for graduate students Fully equips students to tackle the research literature and includes 350 exercises so readers can put the theory into practice Covers all of the necessary material for a first-year graduate course in probability https://www.cambridge.org/in/universitypress/subjects/statistics-probability/probability-theory-and-stochastic-processes/stochastic-processes-1?format=HB
650 _aStochastic Processes
650 _aProbabilistic Mathematics
650 _aBrownian Motion
650 _aGirsanov Theorem
650 _aMarkov Properties
650 _aDirichlet Forms
942 _cTD
_2ddc
999 _c60106
_d60106