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Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations , probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms .
This list contains only probabilists in the sense of mathematicians specializing in probability theory. David Aldous (born 1952) Siva Athreya (born 1971) Thomas Bayes (1702–1761) - British mathematician and Presbyterian minister, known for Bayes' theorem; Gerard Ben-Arous (born 1957) - Courant Institute of Mathematical Sciences; Itai Benjamini
His work mainly concerned fields of probability, [4] mathematical statistics, and machine learning, with highly influential contributions to the theory of Gaussian processes and empirical processes. He published over a hundred papers in peer-reviewed journals and authored several books.
See Ian Hacking's The Emergence of Probability [10] and James Franklin's The Science of Conjecture [17] for histories of the early development of the very concept of mathematical probability. The theory of errors may be traced back to Roger Cotes's Opera Miscellanea (posthumous, 1722), but a memoir prepared by Thomas Simpson in 1755 (printed ...
Daniel Wyler Stroock (born March 20, 1940) is an American mathematician, a probabilist.He is regarded and revered as one of the fundamental contributors to Malliavin calculus with Shigeo Kusuoka and the theory of diffusion processes with S. R. Srinivasa Varadhan with an orientation towards the refinement and further development of Itô’s stochastic calculus.
His two-volume textbook on probability theory and its applications was called "the most successful treatise on probability ever written" by Gian-Carlo Rota. [8] By stimulating his colleagues and students in Sweden and then in the United States, Feller helped establish research groups studying the analytic theory of probability.
Jaynes around 1982. Edwin Thompson Jaynes (July 5, 1922 – April 30, [1] 1998) was the Wayman Crow Distinguished Professor of Physics at Washington University in St. Louis.He wrote extensively on statistical mechanics and on foundations of probability and statistical inference, initiating in 1957 the maximum entropy interpretation of thermodynamics [2] [3] as being a particular application of ...
In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of possible outcomes for an experiment. [1] [2] It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events (subsets of the sample space). [3]