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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
The certainty that is adopted can be described in terms of a numerical measure, and this number, between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty) is called the probability. Probability theory is used extensively in statistics , mathematics , science and philosophy to draw conclusions about the likelihood of potential ...
Categorical probability; Category of Markov kernels; Category of measurable spaces; Central tendency; Chain rule (probability) Chvátal–Sankoff constants; Collectively exhaustive events; Complete filtration; Complex random variable; Complex random vector; Contiguity (probability theory) Continuum percolation theory; Convergence 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 ...
At Dartmouth College Snell became involved in a mathematics department project to develop a course on modern mathematics used in biological and social sciences. He worked with John G. Kemeny and Gerald L. Thompson to write Introduction to Finite Mathematics (1957) which described probability theory, linear algebra, and applications in sociology, genetics, psychology, anthropology, and economics.
Free probability is a mathematical theory that studies non-commutative random variables. The "freeness" or free independence property is the analogue of the classical notion of independence , and it is connected with free products .
In mathematics, the term categorical probability denotes a collection of category-theoretic approaches to probability theory and related fields such as statistics, information theory and ergodic theory.