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Herbert Robbins
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==Selected writings== ;Books by Herbert Robbins * ''What is Mathematics? An Elementary Approach to Ideas and Methods'', with [[Richard Courant]], London: Oxford University Press, 1941. * "Great Expectations: The Theory of Optimal Stopping", with Y. S. Chow and [[David Siegmund]] Boston: Houghton Mifflin, 1971. * "Introduction to Statistics", with John Van Ryzin, Science Research Associates, 1975. ;Articles (selection) * A theorem on graphs with an application to a problem on traffic control, ''American Mathematical Monthly'', vol. '''46''' (1939), pp. 281β283. * The [[central limit theorem]] for dependent [[random variable]]s, with [[Wassily Hoeffding]], ''Duke Mathematical Journal'', vol. '''15''' (1948), pp. 773β780. * A [[stochastic approximation]] method, with Sutton Monro, ''Annals of Mathematical Statistics'', vol. '''22''', no. 3 (September 1951), pp. 400β407. * Some aspects of the sequential design of experiments, in "Bulletin of the American Mathematical Society", vol. 58, 1952. * Two-stage procedures for estimating the difference between means, with Ghurye, SG, "Biometrika", 41(1), 146β152, 1954. * The strong law of large numbers when the first moment does not exist, with [[Cyrus Derman|C. Derman]], in the ''Proceedings of the National Academy of Sciences of the United States of America'', vol. 41, 1955. * An empirical Bayes approach to statistics, in ''Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability'', Jerzy Neyman, ed., vol. 1, Berkeley, California: University of California Press, 1956, pp. 157β163. * On the asymptotic theory of fixed-width sequential confidence intervals for the mean, with Chow, Y.S., "The Annals of Mathematical Statistics", 36(2), 457β462, 1965. * Statistical methods related to the law of the iterated logarithm, "The Annals of Mathematical Statistics", 41(5), 1397β1409, 1970. * Optimal stopping, "The American Mathematical Monthly", 77(4), 333β343, 1970. * A convergence theorem for nonnegative almost supermartingales and some applications, with [[David Siegmund]], "Optimizing methods in statistics", 233β257, 1971. * Sequential tests involving two populations, with [[David Siegmund]], "Journal of the American Statistical Association, 132β139, 1974. *A class of dependent random variables and their maxima, with Lai, T.L. "Probability Theory and Related Fields", 42(2), 89β111, 1978 * Asymptotically efficient adaptive allocation rules with TL Lai, in "Advances in applied mathematics", vol. 6, 1985. * Sequential choice from several populations with [[Michael N. Katehakis|M. N. Katehakis]], in the ''Proceedings of the National Academy of Sciences of the United States of America'', vol. 92, 1995.
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