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In statistics, Markov chain Monte Carlo (MCMC) is a class of algorithms used to draw samples from a probability distribution. Given a probability distribution, one can construct a Markov chain whose elements' distribution approximates it – that is, the Markov chain's equilibrium distribution matches the target distribution. The more steps that are included, the more closely the distribution of the sample matches the actual desired distribution.
Bayesian statistics is a theory in the field of statistics based on the Bayesian interpretation of probability, where probability expresses a degree of belief in an event. The degree of belief may be based on prior knowledge about the event, such as the results of previous experiments, or on personal beliefs about the event. This differs from a number of other interpretations of probability, such as the frequentist interpretation, which views probability as the limit of the relative frequency of an event after many trials. More concretely, analysis in Bayesian methods codifies prior knowledge in the form of a prior distribution.
Alexander Philip Dawid is Emeritus Professor of Statistics of the University of Cambridge, and a Fellow of Darwin College, Cambridge. He is a leading proponent of Bayesian statistics.
Morris Herman DeGroot was an American statistician.
Jefferson Morris Gill is Distinguished Professor of Government, and of Mathematics & Statistics, the Director of the Center for Data Science, the Editor of Political Analysis, and a member of the Center for Behavioral Neuroscience at American University as of the Fall of 2017.
Sylvia Therese Richardson is a French/British Bayesian statistician and is currently Professor of Biostatistics and Director of the MRC Biostatistics Unit at the University of Cambridge. In 2021 she became the president of the Royal Statistical Society for the 2021–22 year.
Peter James Green, FRS is a British Bayesian statistician. He is emeritus Professor and Professorial Research Fellow at the University of Bristol, and a professor at the University of Technology, Sydney. He is distinguished for his contributions to computational statistics, in particular his contributions to spatial statistics and semi-parametric regression models and also his development of reversible-jump Markov chain Monte Carlo.
Stephen Peter "Steve" Brooks is Executive Director of Select Statistical Services Ltd, a statistical research consultancy company based in Exeter, and former professor of statistics at the Statistical Laboratory of the University of Cambridge.
Gareth Owen Roberts FRS FLSW is a statistician and applied probabilist. He is Professor of Statistics in the Department of Statistics and Director of the Centre for Research in Statistical Methodology (CRiSM) at the University of Warwick. He is an established authority on the stability of Markov chains, especially applied to Markov chain Monte Carlo (MCMC) theory methodology for a wide range of latent statistical models with applications in spatial statistics, infectious disease epidemiology and finance.
David Ríos Insua is a Spanish mathematician, and son and disciple of Sixto Ríos, the "father of Spanish statistics." He is currently also the youngest Fellow of the Spanish Royal Academy of Sciences, which he joined in 2008. He received a PhD in Computational Sciences at the University of Leeds. He is Full Professor of the Statistics and Operations Research Department at Rey Juan Carlos University (URJC), and he has been Vice-dean of New Technologies and International Relationships at URJC (2002–2009). He has worked in fields such as Bayesian inference in neuronal networks, MCMC methods in decision analysis, Bayesian robustness or adversarial risk analysis. He has also worked in applied areas such as Electronic Democracy, reservoirs management, counterterrorism model and many others. He is married and has two daughters.
Larry Alan Wasserman is a Canadian-American statistician and a professor in the Department of Statistics & Data Science and the Machine Learning Department at Carnegie Mellon University.
George Casella was a Distinguished Professor in the Department of Statistics at the University of Florida. He died from multiple myeloma.
Steffen Lilholt Lauritzen FRS is former Head of the Department of Statistics at the University of Oxford and Fellow of Jesus College, Oxford, and currently Emeritus Professor of Statistics at the University of Copenhagen. He is a leading proponent of mathematical statistics and graphical models.
Herman Koene van Dijk is a Dutch economist Consultant at the Research Department of Norges Bank and Professor Emeritus at the Econometric Institute of the Erasmus University Rotterdam, known for his contributions in the field of Bayesian analysis.
Alan Enoch Gelfand is an American statistician, and is currently the James B. Duke Professor of Statistics and Decision Sciences at Duke University. Gelfand’s research includes substantial contributions to the fields of Bayesian statistics, spatial statistics and hierarchical modeling.
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.
Sylvia Frühwirth-Schnatter is an Austrian statistician and professor of applied statistics and econometrics at the Vienna University of Economics and Business. She is known for her research in Bayesian analysis. In 2020 she was the President of the International Society for Bayesian Analysis.
Éric Moulines is a French researcher in statistical learning and signal processing. He received the silver medal from the CNRS in 2010, the France Télécom prize awarded in collaboration with the French Academy of Sciences in 2011. He was appointed a Fellow of the European Association for Signal Processing in 2012 and of the Institute of Mathematical Statistics in 2016. He is General Engineer of the Corps des Mines (X81).
Antonietta Mira is an Italian computational statistician whose research involves the application of Markov chain Monte Carlo methods to Bayesian inference. She is a professor of statistics in the Faculty of Economics and Institute of Computational Science at the Università della Svizzera italiana in Lugano, Switzerland, and professor of statistics in the University of Insubria in Italy.
Mike West is an English and American statistician. West works primarily in the field of Bayesian statistics, with research contributions ranging from theory to applied research in areas including finance, commerce, macroeconomics, climatology, engineering, genomics and other areas of biology. Since 1999, West has been the Arts & Sciences Distinguished Professor of Statistics & Decision Sciences in the Department of Statistical Science at Duke University.
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