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.
In probability theory and related fields, a stochastic or random process is a mathematical object usually defined as a sequence of random variables in a probability space, where the index of the sequence often has the interpretation of time. Stochastic processes are widely used as mathematical models of systems and phenomena that appear to vary in a random manner. Examples include the growth of a bacterial population, an electrical current fluctuating due to thermal noise, or the movement of a gas molecule. Stochastic processes have applications in many disciplines such as biology, chemistry, ecology, neuroscience, physics, image processing, signal processing, control theory, information theory, computer science, and telecommunications. Furthermore, seemingly random changes in financial markets have motivated the extensive use of stochastic processes in finance.
Persi Warren Diaconis is an American mathematician of Greek descent and former professional magician. He is the Mary V. Sunseri Professor of Statistics and Mathematics at Stanford University.
William "Vilim" Feller, born Vilibald Srećko Feller, was a Croatian–American mathematician specializing in probability theory.
Stochastic refers to the property of being well-described by a random probability distribution. Although stochasticity and randomness are distinct in that the former refers to a modeling approach and the latter refers to phenomena themselves, these two terms are often used synonymously. Furthermore, in probability theory, the formal concept of a stochastic process is also referred to as a random process.
Francis Ysidro Edgeworth was an Anglo-Irish philosopher and political economist who made significant contributions to the methods of statistics during the 1880s. From 1891 onward, he was appointed the founding editor of The Economic Journal.
Proceedings of the American Mathematical Society is a monthly peer-reviewed scientific journal of mathematics published by the American Mathematical Society. As a requirement, all articles must be at most 15 printed pages.
Statistics, in the modern sense of the word, began evolving in the 18th century in response to the novel needs of industrializing sovereign states.
The Journal of the American Statistical Association (JASA) is the primary journal published by the American Statistical Association, the main professional body for statisticians in the United States. It is published four times a year in March, June, September and December by Taylor & Francis, Ltd on behalf of the American Statistical Association.
Infinite Dimensional Analysis, Quantum Probability and Related Topics is a quarterly peer-reviewed scientific journal published since 1998 by World Scientific. It covers the development of infinite dimensional analysis, quantum probability, and their applications to classical probability and other areas of physics.
AStA Advances in Statistical Analysis is a peer-reviewed mathematics journal published quarterly by Springer Science+Business Media and the German Statistical Society. It was established in 2007, and covers statistical theory, methods, methodological developments, as well as probability and mathematics applications. Coverage is organized into three broad areas: statistical applications, statistical methodology, and review articles. The editor were Göran Kauermann (2009–2019) and Stefan Lang (2009–2014). In 2022 the editor are Thomas Kneib and Yarema Okhrin.
The Annals of Probability is a leading peer-reviewed probability journal published by the Institute of Mathematical Statistics, which is the main international society for researchers in the areas probability and statistics. The journal was started in 1973 as a continuation in part of the Annals of Mathematical Statistics, which was split into the Annals of Statistics and this journal.
Stochastic Processes and Their Applications is a monthly peer-reviewed scientific journal published by Elsevier for the Bernoulli Society for Mathematical Statistics and Probability. The editor-in-chief is Sylvie Méléard. The principal focus of this journal is theory and applications of stochastic processes. It was established in 1973.
The Journal of Geometry and Physics is a scientific journal in mathematical physics. Its scope is to stimulate the interaction between geometry and physics by publishing primary research and review articles which are of common interest to practitioners in both fields. The journal is published by Elsevier since 1984.
Combinatorics, Probability and Computing is a peer-reviewed scientific journal in mathematics published by Cambridge University Press. Its editor-in-chief is Béla Bollobás.
Probability and Mathematical Statistics is a peer-reviewed scientific journal covering mathematical aspects of the probability theory. It was founded in 1980 as the initiative of the Wrocław probability community led by Kazimierz Urbanik and Czesław Ryll-Nardzewski, and statistics community represented by Witold Klonecki. They served as editors of the journal during the first twenty-five years of its existence, with Kazimierz Urbanik shouldering the role of the editor-in-chief. Beginning with 2007, Probability and Mathematical Statistics became an affiliated journal of the Institute of Mathematical Statistics. PMS is indexed by Scopus, MathSciNet, Index Copernicus and Journal Citation Reports (IF=0.617). PMS is an open-access journal.
