{"product_id":"stochastic-processes-hardback-9781107008007","title":"Stochastic Processes (Hardback) 9781107008007","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eStochastic Processes\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eComprehensive guide to stochastic processes. Accessible to beginning graduate students and researchers from applied disciplines.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eRichard F. Bass (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107008007, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 6 October 2011\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e408 pages, 2 b\/w illus.  350 exercises\u003cbr\u003e25.4 x 18.3 x 2.5 cm, 0.91 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The author of this book is well recognized for his long standing and successful work in the area of stochastic processes … this book represents quite well the modern state of the art of the theory of stochastic processes. There are good reasons to strongly recommend the book to graduate and postgraduate students taking an advanced course in stochastic processes.' Jordan M. Stoyanov, Zentralblatt MATH\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Basic notions\u003cbr\u003e 2. Brownian motion\u003cbr\u003e 3. Martingales\u003cbr\u003e 4. Markov properties of Brownian motion\u003cbr\u003e 5. The Poisson process\u003cbr\u003e 6. Construction of Brownian motion\u003cbr\u003e 7. Path properties of Brownian motion\u003cbr\u003e 8. The continuity of paths\u003cbr\u003e 9. Continuous semimartingales\u003cbr\u003e 10. Stochastic integrals\u003cbr\u003e 11. Itô's formula\u003cbr\u003e 12. Some applications of Itô's formula\u003cbr\u003e 13. The Girsanov theorem\u003cbr\u003e 14. Local times\u003cbr\u003e 15. Skorokhod embedding\u003cbr\u003e 16. The general theory of processes\u003cbr\u003e 17. Processes with jumps\u003cbr\u003e 18. Poisson point processes\u003cbr\u003e 19. Framework for Markov processes\u003cbr\u003e 20. Markov properties\u003cbr\u003e 21. Applications of the Markov properties\u003cbr\u003e 22. Transformations of Markov processes\u003cbr\u003e 23. Optimal stopping\u003cbr\u003e 24. Stochastic differential equations\u003cbr\u003e 25. Weak solutions of SDEs\u003cbr\u003e 26. The Ray–Knight theorems\u003cbr\u003e 27. Brownian excursions\u003cbr\u003e 28. Financial mathematics\u003cbr\u003e 29. Filtering\u003cbr\u003e 30. Convergence of probability measures\u003cbr\u003e 31. Skorokhod representation\u003cbr\u003e 32. The space C[0, 1]\u003cbr\u003e 33. Gaussian processes\u003cbr\u003e 34. The space D[0, 1]\u003cbr\u003e 35. Applications of weak convergence\u003cbr\u003e 36. Semigroups\u003cbr\u003e 37. Infinitesimal generators\u003cbr\u003e 38. Dirichlet forms\u003cbr\u003e 39. Markov processes and SDEs\u003cbr\u003e 40. Solving partial differential equations\u003cbr\u003e 41. One-dimensional diffusions\u003cbr\u003e 42. Lévy processes\u003cbr\u003e A. Basic probability\u003cbr\u003e B. Some results from analysis\u003cbr\u003e C. Regular conditional probabilities\u003cbr\u003e D. Kolmogorov extension theorem\u003cbr\u003e E. Choquet capacities\u003cbr\u003e Frequently used notation\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Stochastics [\u003ca title=\"See our other books on Stochastics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Stochastics%20%5BPBWL%5D%22\"\u003ePBWL\u003c\/a\u003e], Probability \u0026amp; statistics [\u003ca title=\"See our other books on Probability \u0026amp; statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Probability%20\u0026amp;%20statistics%20%5BPBT%5D%22\"\u003ePBT\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003459326232,"sku":"9781107008007","price":62.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107008007i_f7cde685-4bf8-4bae-8f4f-0ad319a6b5c7.jpg?v=1691360907","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/stochastic-processes-hardback-9781107008007","provider":"Freshly Printed Books","version":"1.0","type":"link"}