Download PDF Stochastic Processes (Cambridge Series in Statistical and Probabilistic Mathematics), by Richard F. Bass
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Stochastic Processes (Cambridge Series in Statistical and Probabilistic Mathematics), by Richard F. Bass
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This 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.
- Sales Rank: #1386641 in Books
- Published on: 2011-11-28
- Original language: English
- Number of items: 1
- Dimensions: 9.96" h x .94" w x 8.46" l, 2.00 pounds
- Binding: Hardcover
- 408 pages
Most helpful customer reviews
3 of 3 people found the following review helpful.
Exactly what the title implies
By PST
In 42 short chapters the book covers many different stochastic processes. At times, one wouldvlike to know a bit more about the topic covered in a chapter - but then the book would probably have become too large.
Really good knowledge of measure theory ( which I do not have) and some knowledge of probability theory definitely helps understanding the book, at least for some of the chapters.
The proofs are generally not too difficult, sometimes a few more lines would have helped at least my understanding. (However, I am an engineer, not a mathematician). Best I can tell, they are rigorous.
An appendix gives some probability theory - but if one has no prior knowledge in this, this appendix is not enough to understand the book.
The book contains a 'normal' amount of typos, neither good nor very bad. Most of them are harmless and do not hinder the understanding.
1 of 1 people found the following review helpful.
Has everything
By Yair Daon
I haven't read through this book completely but it is very well written. Chapters are short, which helps a lot. Exercises are hard, but math is hard. I like this book. I recommend it to anyone who needs a reference for advanced topics in the theory of stochastic processes.
9 of 15 people found the following review helpful.
An excellent coaster for a variety of beverages.
By Some guy
I initially purchased this book as a coaster and in trying to clean out the water spots on the inside pages I accidentally learned a good deal of advanced mathematics and now work on Wall Street. Highly recommended.
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