Magda Peligrad is a Romanian mathematician and mathematical statistician known for her research in probability theory, and particularly on central limit theorems and stochastic processes. [1] [2] She works at the University of Cincinnati, where she is Distinguished Charles Phelps Taft Professor of Mathematical Sciences. [3]
Peligrad obtained her Ph.D. in 1980 from the Center of Statistics of the Romanian Academy. [3] By 1983 she was working at the Sapienza University of Rome and by 1984 she had arrived at Cincinnati, [4] where since 1988 she has supervised the dissertations of seven doctoral students. [5]
With Florence Merlevède and Sergey Utev, she is coauthor of the book Functional Gaussian Approximation for Dependent Structures (Oxford University Press, 2019). [6]
In 1995, Peligrad was elected as a Fellow of the Institute of Mathematical Statistics, [3] [7] which she had served in 1990 as the Institute's representative to the Joint Committee on Women in Mathematical Sciences, an umbrella organization for women in eight societies of mathematics and statistics. [8] A conference on "limit theorems for dependent data and applications" was organized in her honor in Paris in 2010, celebrating her 60th birthday, by the researchers at four Parisian universities. [1] [2] [9] She was named Taft professor in 2004. [3]
In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample mean converges to a standard normal distribution. This holds even if the original variables themselves are not normally distributed. There are several versions of the CLT, each applying in the context of different conditions.
Alfréd Rényi was a Hungarian mathematician known for his work in probability theory, though he also made contributions in combinatorics, graph theory, and number theory.
Herbert Ellis Robbins was an American mathematician and statistician. He did research in topology, measure theory, statistics, and a variety of other fields.
Sergei Natanovich Bernstein was a Ukrainian and Russian mathematician of Jewish origin known for contributions to partial differential equations, differential geometry, probability theory, and approximation theory.
Richard Mansfield Dudley was Professor of Mathematics at the Massachusetts Institute of Technology.
In probability theory, Donsker's theorem, named after Monroe D. Donsker, is a functional extension of the central limit theorem for empirical distribution functions. Specifically, the theorem states that an appropriately centered and scaled version of the empirical distribution function converges to a Gaussian process.
Hillel "Harry" Furstenberg is a German-born American-Israeli mathematician and professor emeritus at the Hebrew University of Jerusalem. He is a member of the Israel Academy of Sciences and Humanities and U.S. National Academy of Sciences and a laureate of the Abel Prize and the Wolf Prize in Mathematics. He is known for his application of probability theory and ergodic theory methods to other areas of mathematics, including number theory and Lie groups.
Mioara Mugur-Schächter is a French-Romanian physicist, specialized in fundamental quantum mechanics, probability theory and theory of communication of information. She is also an epistemologist (methodologist) of generation of scientific knowledge. As a professor of theoretical physics at the University of Reims, she founded the Laboratory of Quantum Mechanics and Structures of Information which she directed until 1994. She is currently president of the Centre pour la Synthèse d'une Épistémologie Formalisée (CeSEF).
Michel Pierre Talagrand is a French mathematician. Doctor of Science since 1977, he has been, since 1985, Directeur de Recherches at CNRS and a member of the Functional Analysis Team of the Institut de Mathématique of Paris. Talagrand was elected as correspondent of the Académie des sciences of Paris in March 1997, and then as a full member in November 2004, in the Mathematics section. In 2024, Talagrand received the Abel Prize.
Alexandra Bellow is a Romanian-American mathematician, who has made contributions to the fields of ergodic theory, probability and analysis.
Murray Rosenblatt was a statistician specializing in time series analysis who was a professor of mathematics at the University of California, San Diego. He received his Ph.D. at Cornell University. He was also a recipient of a Guggenheim Fellowship, in 1965, and was a member of the National Academy of Sciences. He wrote about 140 research articles, 4 books, and co-edited 6 books.
Themistocles M. Rassias is a Greek mathematician, and a professor at the National Technical University of Athens, Greece. He has published more than 300 papers, 10 research books and 45 edited volumes in research Mathematics as well as 4 textbooks in Mathematics for university students. His research work has received more than 19,000 citations according to Google Scholar and more than 5,800 citations according to MathSciNet. His h-index is 49. He serves as a member of the Editorial Board of several international mathematical journals.
Carl-Gustav Esseen was a Swedish mathematician. His work was in the theory of probability. The Berry–Esseen theorem is named after him.
Carl Svante Janson is a Swedish mathematician. A member of the Royal Swedish Academy of Sciences since 1994, Janson has been the chaired professor of mathematics at Uppsala University since 1987.
Alice Guionnet is a French mathematician known for her work in probability theory, in particular on large random matrices.
Vyacheslav Vasilievich Sazonov was a Soviet-Russian mathematician, specializing in probability and measure theory. He is known for Sazonov's theorem.
Yuliya Stepanivna Mishura is a Ukrainian mathematician specializing in probability theory and mathematical finance. She is a professor at the Taras Shevchenko National University of Kyiv.
Florence Merlevède is a French probability theorist whose research interests focus on dependent and weakly dependent random variables, including Bernstein inequalities and central limit theorems for these variables. She is a professor in the laboratory for analysis and applied mathematics at Gustave Eiffel University, associated with the research group on probability and statistics there.
Ibragimov–Iosifescu conjecture for φ-mixing sequences in probability theory is the collective name for 2 closely related conjectures by Ildar Ibragimov and ro:Marius Iosifescu.
Qi-Man Shao is a Chinese probabilist and statistician mostly known for his contributions to asymptotic theory in probability and statistics. He is currently a Chair Professor of Statistics and Data Science at the Southern University of Science and Technology.