Table of Contents
47 relations: American Academy of Arts and Sciences, Boolean algebra (structure), Central limit theorem, Columbia University, Cyrus Derman, David Siegmund, Doctorate, Ear decomposition, Empirical Bayes method, Franz Thomas Bruss, Gopinath Kallianpur, Graph theory, Harvard University, Hassler Whitney, Herbert Wilf, Institute for Advanced Study, Institute of Mathematical Statistics, International Statistical Institute, Marston Morse, Mathematician, Measure (mathematics), Michael Katehakis, Multi-armed bandit, National Academy of Sciences, New Castle, Pennsylvania, New York University, Optimal stopping, Pennsylvania, Princeton, New Jersey, Raghu Raj Bahadur, Random variable, Richard Courant, Robbins algebra, Robbins lemma, Robbins' problem, Robbins' theorem, Rutgers University, Secretary problem, Statistician, Statistics, Stochastic approximation, Topology, Tze Leung Lai, University of North Carolina at Chapel Hill, Wassily Hoeffding, What Is Mathematics?, World War II.
American Academy of Arts and Sciences
The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States.
See Herbert Robbins and American Academy of Arts and Sciences
Boolean algebra (structure)
In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice.
See Herbert Robbins and Boolean algebra (structure)
Central limit theorem
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.
See Herbert Robbins and Central limit theorem
Columbia University
Columbia University, officially Columbia University in the City of New York, is a private Ivy League research university in New York City.
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Cyrus Derman
Cyrus Derman (July 16, 1925 – April 27, 2011) was an American mathematician and amateur musician who did research in Markov decision process, stochastic processes, operations research, statistics and a variety of other fields.
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David Siegmund
David Oliver Siegmund (born November 15, 1941) is an American statistician who has worked extensively on sequential analysis. Herbert Robbins and David Siegmund are American mathematical statisticians and Presidents of the Institute of Mathematical Statistics.
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Doctorate
A doctorate (from Latin doctor, meaning "teacher") or doctoral degree is a postgraduate academic degree awarded by universities and some other educational institutions, derived from the ancient formalism licentia docendi ("licence to teach").
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Ear decomposition
In graph theory, an ear of an undirected graph G is a path P where the two endpoints of the path may coincide, but where otherwise no repetition of edges or vertices is allowed, so every internal vertex of P has degree two in G. An ear decomposition of an undirected graph G is a partition of its set of edges into a sequence of ears, such that the one or two endpoints of each ear belong to earlier ears in the sequence and such that the internal vertices of each ear do not belong to any earlier ear.
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Empirical Bayes method
Empirical Bayes methods are procedures for statistical inference in which the prior probability distribution is estimated from the data.
See Herbert Robbins and Empirical Bayes method
Franz Thomas Bruss
Franz Thomas Bruss (born 27. September 1949 in Kleinblittersdorf (Saarland)) is Emeritus Professor of Mathematics at the Université Libre de Bruxelles, where he had been director of "Mathématiques Générales" and co-director of the probability chair, and where he continues his research as invited professor.
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Gopinath Kallianpur
Gopinath Kallianpur (1925–2015) was an Indian American mathematician and statistician who became the first director of the Indian Statistical Institute (1976–79) under its new Memorandum of Association. Herbert Robbins and Gopinath Kallianpur are institute for Advanced Study visiting scholars.
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Graph theory
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.
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Harvard University
Harvard University is a private Ivy League research university in Cambridge, Massachusetts.
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Hassler Whitney
Hassler Whitney (March 23, 1907 – May 10, 1989) was an American mathematician.
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Herbert Wilf
Herbert Saul Wilf (June 13, 1931 – January 7, 2012) was an American mathematician, specializing in combinatorics and graph theory.
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Institute for Advanced Study
The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey.
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Institute of Mathematical Statistics
The Institute of Mathematical Statistics is an international professional and scholarly society devoted to the development, dissemination, and application of statistics and probability.
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International Statistical Institute
The International Statistical Institute (ISI) is a professional association of statisticians.
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Marston Morse
Harold Calvin Marston Morse (March 24, 1892 – June 22, 1977) was an American mathematician best known for his work on the calculus of variations in the large, a subject where he introduced the technique of differential topology now known as Morse theory.
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
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Measure (mathematics)
In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions, such as magnitude, mass, and probability of events.
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Michael Katehakis
Michael N. Katehakis (Μιχαήλ Ν.; born 1952) is a Professor of Management Science at Rutgers University.
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Multi-armed bandit
In probability theory and machine learning, the multi-armed bandit problem (sometimes called the K- or N-armed bandit problem) is a problem in which a decision maker iteratively selects one of multiple fixed choices (i.e., arms or actions) when the properties of each choice are only partially known at the time of allocation, and may become better understood as time passes.
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National Academy of Sciences
The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization.
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New Castle, Pennsylvania
New Castle is a city in and the county seat of Lawrence County, Pennsylvania, United States.
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New York University
New York University (NYU) is a private research university in New York City, United States.
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Optimal stopping
In mathematics, the theory of optimal stopping or early stopping.
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Pennsylvania
Pennsylvania, officially the Commonwealth of Pennsylvania (Pennsylvania Dutch), is a state spanning the Mid-Atlantic, Northeastern, Appalachian, and Great Lakes regions of the United States.
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Princeton, New Jersey
Princeton is a borough in Mercer County, in the U.S. state of New Jersey.
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Raghu Raj Bahadur
Raghu Raj Bahadur (30 April 1924 – 7 June 1997) was an Indian statistician considered by peers to be "one of the architects of the modern theory of mathematical statistics". Herbert Robbins and Raghu Raj Bahadur are Presidents of the Institute of Mathematical Statistics.
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Random variable
A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which depends on random events.
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Richard Courant
Richard Courant (January 8, 1888 – January 27, 1972) was a German-American mathematician. Herbert Robbins and Richard Courant are mathematics popularizers.
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Robbins algebra
In abstract algebra, a Robbins algebra is an algebra containing a single binary operation, usually denoted by \lor, and a single unary operation usually denoted by \neg satisfying the following axioms: For all elements a, b, and c.
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Robbins lemma
In statistics, the Robbins lemma, named after Herbert Robbins, states that if X is a random variable having a Poisson distribution with parameter λ, and f is any function for which the expected value E(f(X)) exists, then Robbins introduced this proposition while developing empirical Bayes methods.
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Robbins' problem
In probability theory, Robbins' problem of optimal stopping, named after Herbert Robbins, is sometimes referred to as the fourth secretary problem or the problem of minimizing the expected rank with full information.
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Robbins' theorem
In graph theory, Robbins' theorem, named after, states that the graphs that have strong orientations are exactly the 2-edge-connected graphs.
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Rutgers University
Rutgers University, officially Rutgers, The State University of New Jersey, is a public land-grant research university consisting of four campuses in New Jersey.
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Secretary problem
The secretary problem demonstrates a scenario involving optimal stopping theory For French translation, see in the July issue of Pour la Science (2009).
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Statistician
A statistician is a person who works with theoretical or applied statistics.
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Statistics
Statistics (from German: Statistik, "description of a state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
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Stochastic approximation
Stochastic approximation methods are a family of iterative methods typically used for root-finding problems or for optimization problems.
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Topology
Topology (from the Greek words, and) is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself.
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Tze Leung Lai
Tze Leung Lai (June 28, 1945 – May 21, 2023) was a Chinese-American statistician of Hong Kong descent.
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University of North Carolina at Chapel Hill
The University of North Carolina at Chapel Hill (UNC, UNC-Chapel Hill, North Carolina, Chapel Hill, or simply Carolina) is a public research university in Chapel Hill, North Carolina.
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Wassily Hoeffding
Wassily Hoeffding (June 12, 1914 – February 28, 1991) was an American statistician and probabilist. Herbert Robbins and Wassily Hoeffding are American mathematical statisticians and Presidents of the Institute of Mathematical Statistics.
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What Is Mathematics?
What Is Mathematics? is a mathematics book written by Richard Courant and Herbert Robbins, published in England by Oxford University Press.
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World War II
World War II or the Second World War (1 September 1939 – 2 September 1945) was a global conflict between two alliances: the Allies and the Axis powers.
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References
Also known as Herbert E Robbins, Herbert E. Robbins, Herbert Ellis Robbins.