Fundamental Probability: A Computational Approach (Hardcover)~ Marc Paolella (Author)
Amazon link
http://www.amazon.com/Fundamental-Probability-Computational-Marc-Paolella/dp/0470025948/ref=sr_1_2?ie=UTF8&s=books&qid=1259889430&sr=8-2
Editorial Reviews Review "The collection is sure to be a set of remarkable references for students and teachers alike." (The American Statistician, May 2008) "Very enjoyable and instructive reading." (CHOICE, November 2006)
"...a very good book which might, I hope, be standard for introductory courses in probability theory during next years." (Zentralbatt MATH, 11th March 2007)
Product Description Probabilityis a vital measure in numerous disciplines, from bioinformatics andeconometrics to finance/insurance and computer science. Developed froma successful course, Fundamental Probability provides anengaging and hands-on introduction to this important topic. Whilst thetheory is explored in detail, this book also emphasises practicalapplications, with the presentation of a large variety of examples andexercises, along with generous use of computational tools. Basedon international teaching experience with students of statistics,mathematics, finance and econometrics, the book:
- Presents new, innovative material alongside the classic theory.
- Goesbeyond standard presentations by carefully introducing and discussingmore complex subject matter, including a richer use of combinatorics,runs and occupancy distributions, various multivariate samplingschemes, fat-tailed distributions, and several basic concepts used infinance.
- Emphasises computational matters and programming methods via generous use of examples in MATLAB.
- Includesa large, self-contained Calculus/Analysis appendix with derivations ofall required tools, such as Leibniz’ rule, exchange of derivative andintegral, Fubini’s theorem, and univariate and multivariate Taylorseries.
- Presents over 150 end-of-chapter exercises, graded interms of their difficulty, and accompanied by a full set of solutionsonline.


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