1. Introduction; 2. Survey of distributions; 3. Monte Carlo; 4. Discrete random variables; 5. The normal distribution; 6. Handling experimental data; 7. Mathematics of random variables; 8. Bayes; 9. Entropy; 10. Collective behavior; 11. Markov chains; 12. Stochastic processes; Appendix A. Answers to exercises; Appendix B. Probability distributions.
Using examples and building intuition, this friendly guide helps readers understand and use probabilistic tools from basic to sophisticated.
Adam Prügel-Bennett is Professor of Electronics and Computer Science at the University of Southampton. He received his Ph.D. in Statistical Physics at the University of Edinburgh, where he became interested in disordered and complex systems. He currently researches in the area of mathematical modelling, optimisation and machine learning and has published many papers on these subjects.
'In addition to the usual topics of probability theory, a large
portion of the book is devoted to presenting modern applications
including Bayesian inference and MCMC. Students will appreciate the
detailed derivations of formulas and the full solutions of
problems. The text is interspersed with personal viewpoints and
advice, which gives the book the flavour of a lively lecture by an
enthusiastic teacher.' Robert Piché, Tampereen yliopisto,
Finland
'Adam Prügel-Bennett has created a great toolbox for all scientists
working with models that take into account the uncertainty of the
real world.' Wolfram Burgard, Albert-Ludwigs-Universität Freiburg,
Germany
'This is a wonderful book, one that I wish I'd had when learning
about probability. Indeed, there are lots of gems in there that I'm
looking forward to reading about myself! The book is beautifully
illustrated and refreshingly full of insight, without overly formal
mathematical jargon. This book would appeal to students and
researchers that are competent in mathematics and delight in
gaining a deeper understanding of the subject, both from an
intuitive and mathematical standpoint. It excels in demonstrating
the wide applicability of probabilistic approaches to problem
solving and modelling. This book deserves to be on the shelf of any
researcher that uses probability to solve problems.' David Barber,
University College London
'The book can be very recommended all readers, who are interested
in this field.' Ludwig Paditz, Theatre and Performance Theory
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