Herbert Robbins

Herbert Robbins
Nascimento	12 de janeiro de 1915; New Castle
Morte	12 de fevereiro de 2001 (86 anos); Princeton
Sepultamento	Cemitério de Princeton
Cidadania	Estados Unidos
Alma mater	Universidade Harvard;
Ocupação	matemático,estatístico,professor universitário
Distinções	Bolsa Guggenheim(1952); honorary doctor of Purdue University (1974); Fellow of the Institute of Mathematical Statistics (1948);
Empregador(a)	Universidade de Nova Iorque,Universidade da Carolina do Norte em Chapel Hill,Instituto de Estudos Avançados de Princeton,Reserva da Marinha dos Estados Unidos,Instituto de Estudos Avançados de Princeton,Universidade Columbia,Universidade de Michigan,Universidade Columbia,Imperial College London,Universidade Columbia,Universidade Rutgers
Obras destacadas	What Is Mathematics?,Teorema de Robbins,Hsu–Robbins–Erdős theorem, Robbins' problem, álgebra de Robbins, método do gradiente estocástico, Robbins lemma
	[edite no Wikidata]

Herbert Ellis Robbins(New Castle,12 de janeirode1915–Princeton,12 de fevereirode2001) foi ummatemáticoeestatístico estadunidense.Foi pesquisador emtopologia,teoria da medida,estatísticae uma variedade de outros tópicos.

Foi co-autor comRichard CourantdeWhat is Mathematics?.Oteorema de Robbinsemteoria dos grafosé denominado em sua memória.

Foi membro daAcademia Nacional de Ciências dos Estados Unidose daAcademia de Artes e Ciências dos Estados Unidos.

Publicações selecionadas

Livros

What is Mathematics? An Elementary Approach to Ideas and Methods,withRichard Courant,London:Oxford University Press,1941.
"Great Expectations: The Theory of Optimal Stopping", with Y. S. Chow andDavid SiegmundBoston: Houghton Mifflin, 1971.
"Introduction to Statistics", with John Van Ryzin, Science Research Associates, 1975.

Artigos selecionados

A theorem on graphs with an application to a problem on traffic control,American Mathematical Monthly,vol.46(1939), pp. 281–283.
Thecentral limit theoremfor dependentrandom variables,withWassily Hoeffding,Duke Mathematical Journal,vol.15(1948), pp. 773–780.
Astochastic approximationmethod, with Sutton Monro,Annals of Mathematical Statistics,vol.22,no. 3 (September 1951), pp. 400–407.
Some aspects of the sequential design of experiments, in "Bulletin of theAmerican Mathematical Society",vol. 58, 1952.
Two-stage procedures for estimating the difference between means, with Ghurye, SG, "Biometrika", 41(1), 146–152, 1954.
The strong law of large numbers when the first moment does not exist, withC. Derman,in theProceedings of the National Academy of Sciences of the United States of America,vol. 41, 1955.
An empirical Bayes approach to statistics, inProceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability,Jerzy Neyman,ed., vol. 1, Berkeley, California: University of California Press, 1956, pp. 157–163.
On the asymptotic theory of fixed-width sequential confidence intervals for the mean, with Chow, Y.S., "The Annals of Mathematical Statistics", 36(2), 457–462, 1965.
Statistical methods related to the law of the iterated logarithm, "The Annals of Mathematical Statistics", 41(5), 1397–1409, 1970.
Optimal stopping, "The American Mathematical Monthly", 77(4), 333–343, 1970.
A convergence theorem for nonnegative almost supermartingales and some applications, withDavid Siegmund,"Optimizing methods in statistics", 233–257, 1971.
Sequential tests involving two populations, withDavid Siegmund,"Journal of the American Statistical Association, 132–139, 1974.
A class of dependent random variables and their maxima, with Lai, T.L. "Probability Theory and Related Fields", 42(2), 89–111, 1978
Asymptotically efficient adaptive allocation rules with TL Lai, in "Advances in applied mathematics", vol. 6, 1985.
Sequential choice from several populations withM. N. Katehakis,in theProceedings of the National Academy of Sciences of the United States of America,vol. 92, 1995.

Bibliografia

"The Contributions of Herbert Robbins to Mathematical Statistics", Tze Leung Lai and David Siegmund,Statistical Science1,#2 (May 1986), pp. 276–284.Euclid
In Memoriam,ISINewsletter25,#3 (2001)
' "Herbert Robbins, Statistician Who Fueled Interest in Math, Dies at 86",NY Times,Feb.15, 2001.
"What is known about Robbins' Problem?",F. Thomas Bruss,Journal of Applied ProbabilityVolume42,#1 (2005). pp. 108–120Euclid
"A continuous-time approach to Robbins' problem of minimizing the expected rank",F. Thomas Brussand Yves Coamhin Swan,Journal of Applied Probability,Volume 46 #1, 1–18, (2009).

Ligações externas

Herbert Robbins(em inglês) noMathematics Genealogy Project
O'Connor, John J.;Robertson, Edmund F.,«Herbert Robbins»,MacTutor History of Mathematics archive(em inglês),Universidade de St. Andrews
Herbert Robbins Papersat the Columbia University Rare Book and Manuscript Library, New York, NY