Barlow M.T., Nualart D. Lectures on Probability Theory and Statistics

Springer, 2003. — 296 p. In World Mathematical Year 2000 the traditional St. Flour Summer School was hosted jointly with the European Mathematical Society.Sergio Albeverio reviews the theory of Dirichlet forms, and givesapplications including partial differential equations, stochastic dynamics of quantum systems, quantum fields and the geometry of loop spaces. The second text,...

Springer, 2010. — 465 p. — (Springer Texts in Statistics). Probability theory is one branch of mathematics that is simultaneously deep and immediately applicable in diverse areas of human endeavor. It is as fundamental as calculus. Calculus explains the external world, and probability theory helps predict a lot of it. In addition, problems in probability theory have an innate...

4th Edition. — Addison Wesley, 2011. — 911 p. The revision of this well-respected text presents a balanced approach of the classical and Bayesian methods and now includes a chapter on simulation (including Markov chain Monte Carlo and the Bootstrap), coverage of residual analysis in linear models, and many examples using real data. Calculus is assumed as a prerequisite, and a...

Springer-Verlag London Limited, 2005. — 485 p. Probability and statistics are fascinating subjects on the interface between mathematics and applied sciences that help us understand and solve practical problems. We believe that you, by learning how stochastic methods come about and why they work, will be able to understand the meaning of statistical statements as well as judge...

2nd Edition. — Springer-Verlag, 2010. — 436 p. — ISBN 978-1441971647, e-ISBN 978-1441971654. This textbook on applied probability is intended for graduate students in applied mathematics, biostatistics, computational biology, computer science, physics, and statistics. It presupposes knowledge of multivariate calculus, linear algebra, ordinary differential equations, and...

Cambridge University Press, 2012. – 572 p. – 3rd ed. – ISBN: 110765856X, 9781107658561 Understanding Probability is a unique and stimulating approach to a first course in probability. The first part of the book demystifies probability and uses many wonderful probability applications from everyday life to help the reader develop a feel for probabilities. The second part,...