Radically Elementary Probability Theory
by Edward Nelson
Publisher: Princeton University Press 1987
Number of pages: 111
Nelson develops a new approach to probability theory that is just as powerful as but much simpler than conventional Kolmogorov-style probability theory used throughout mathematics for most of the 20th century.
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by Robert Simpson Woodward - J. Wiley & Sons
The theory of probability and the theory of errors now constitute a formidable body of knowledge of great mathematical interest and of great practical importance. Their range of applicability extends to all of the sciences ...
by David Nualart - Universitat de Barcelona
From the table of contents: Stochastic Processes (Probability Spaces and Random Variables, Definitions and Examples); Jump Processes (The Poisson Process, Superposition of Poisson Processes); Markov Chains; Martingales; Stochastic Calculus.
by Pawel J. Szablowski - arXiv
We formulate conditions for convergence of Laws of Large Numbers and show its links with of parts mathematical analysis such as summation theory, convergence of orthogonal series. We present also various applications of Law of Large Numbers.
by C. M. Grinstead, J. L. Snell - American Mathematical Society
The textbook for an introductory course in probability for students of mathematics, physics, engineering, social sciences, and computer science. It presents a thorough treatment of techniques necessary for a good understanding of the subject.