Bayesian probability is an interpretation of the concept of probability, in which, instead of frequency or propensity of some phenomenon, probability is interpreted as reasonable expectation representing a state of knowledge or as quantification of a personal belief.
Frequentist probability or frequentism is an interpretation of probability; it defines an event's probability as the limit of its relative frequency in many trials . Probabilities can be found by a repeatable objective process. The continued use of frequentist methods in scientific inference, however, has been called into question.
Richard Ewen Borcherds is a British mathematician currently working in quantum field theory. He is known for his work in lattices, group theory, and infinite-dimensional algebras, for which he was awarded the Fields Medal in 1998. He is well known for his proof of monstrous moonshine using ideas from string theory.
Leonard Jimmie Savage was an American mathematician and statistician. Economist Milton Friedman said Savage was "one of the few people I have met whom I would unhesitatingly call a genius."
Calyampudi Radhakrishna Rao was an Indian-American mathematician and statistician. He was professor emeritus at Pennsylvania State University and research professor at the University at Buffalo. Rao was honoured by numerous colloquia, honorary degrees, and festschrifts and was awarded the US National Medal of Science in 2002. The American Statistical Association has described him as "a living legend" whose work has influenced not just statistics, but has had far reaching implications for fields as varied as economics, genetics, anthropology, geology, national planning, demography, biometry, and medicine." The Times of India listed Rao as one of the top 10 Indian scientists of all time.
David Harold Blackwell was an American statistician and mathematician who made significant contributions to game theory, probability theory, information theory, and statistics. He is one of the eponyms of the Rao–Blackwell theorem. He was the first African American inducted into the National Academy of Sciences, the first African American full professor at the University of California, Berkeley, and the seventh African American to receive a Ph.D. in mathematics. In 2012, President Barack Obama posthumously awarded Blackwell the National Medal of Science.
The Faculty of Mathematics at the University of Cambridge comprises the Department of Pure Mathematics and Mathematical Statistics (DPMMS) and the Department of Applied Mathematics and Theoretical Physics (DAMTP). It is housed in the Centre for Mathematical Sciences site in West Cambridge, alongside the Isaac Newton Institute. Many distinguished mathematicians have been members of the faculty.
Victor Gershevich (Grigorievich) Kac is a Soviet and American mathematician at MIT, known for his work in representation theory. He co-discovered Kac–Moody algebras, and used the Weyl–Kac character formula for them to reprove the Macdonald identities. He classified the finite-dimensional simple Lie superalgebras, and found the Kac determinant formula for the Virasoro algebra. He is also known for the Kac–Weisfeiler conjectures with Boris Weisfeiler.
Zoubin Ghahramani FRS is a British-Iranian researcher and Professor of Information Engineering at the University of Cambridge. He holds joint appointments at University College London and the Alan Turing Institute. and has been a Fellow of St John's College, Cambridge since 2009. He was Associate Research Professor at Carnegie Mellon University School of Computer Science from 2003–2012. He was also the Chief Scientist of Uber from 2016 until 2020. He joined Google Brain in 2020 as senior research director. He is also Deputy Director of the Leverhulme Centre for the Future of Intelligence.
Lassi Päivärinta is a Finnish mathematician, one-time professor of applied mathematics at the department of mathematics and statistics at the University of Helsinki. Päivärinta's research is mostly in the fields of inverse problems and partial differential equations.
Jayanta Kumar Ghosh was an Indian statistician, an emeritus professor at Indian Statistical Institute and a professor of statistics at Purdue University.
In mathematics — specifically, in measure theory and functional analysis — the cylindrical σ-algebra or product σ-algebra is a type of σ-algebra which is often used when studying product measures or probability measures of random variables on Banach spaces.
Andrew M. Stuart is a British and American mathematician, working in applied and computational mathematics. In particular, his research has focused on the numerical analysis of dynamical systems, applications of stochastic differential equations and stochastic partial differential equations, the Bayesian approach to inverse problems, data assimilation, and machine learning.
Sergio Albeverio is a Swiss mathematician and mathematical physicist working in numerous fields of mathematics and its applications. In particular he is known for his work in probability theory, analysis, mathematical physics, and in the areas algebra, geometry, number theory, as well as in applications, from natural to social-economic sciences.
Adrianus Willem "Aad" van der Vaart is a Dutch professor of Stochastics at the Delft Institute of Applied Mathematics at Delft University of Technology.
Judith Rousseau is a Bayesian statistician who studies frequentist properties of Bayesian methods. She is a professor of statistics at the University of Oxford, a Fellow of Jesus College, Oxford, a Fellow of the Institute of Mathematical Statistics, and a Fellow of the International Society for Bayesian Analysis.
Oscar Randal-Williams is a British mathematician and professor at the University of Cambridge, working in topology.
Tetsuji Miwa is a Japanese mathematician, specializing in mathematical physics.
Eduard Feireisl is a Czech mathematician.
Evarist Giné-Masdéu, or simply Evarist Giné, was a Catalan mathematician and statistician. He is known for his pioneering works in probability in Banach spaces, empirical process theory, U-statistics and processes, and nonparametric statistics.
