Fundamental Probability: A Computational Approach

Based on international teaching experience with students of statistics, mathematics, finance and econometrics, the book:

• Presents new, innovative material alongside the classic theory.
• Goes beyond standard presentations by carefully introducing and discussing more complex subject matter, including a richer use of combinatorics, runs and occupancy distributions, various multivariate sampling schemes, fat-tailed distributions, and several basic concepts used in finance.
• Emphasises computational matters and programming methods via generous use of examples in MATLAB.
• Includes a large, self-contained Calculus/Analysis appendix with derivations of all required tools, such as Leibniz’ rule, exchange of derivative and integral, Fubini’s theorem, and univariate and multivariate Taylor series.
• Presents over 150 end-of-chapter exercises, graded in terms of their difficulty, and accompanied by a full set of solutions online.

This book is intended as an introduction to the theory of probability for students in biology, mathematics, statistics, economics, engineering, finance, and computer science who possess the prerequisite knowledge of basic calculus and linear algebra.