# zbMATH — the first resource for mathematics

## Robbins, Herbert Ellis

Compute Distance To:
 Author ID: robbins.herbert-e Published as: Robbins, H.; Robbins, H. E.; Robbins, Herbert; Robbins, Herbert E. External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
 Documents Indexed: 153 Publications since 1936, including 19 Books Biographic References: 6 Publications
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#### Co-Authors

 53 single-authored 19 Lai, Tze Leung 17 Siegmund, David O. 15 Courant, Richard 12 Chow, Yuan Shih 7 Darling, Donald A. 6 Zhang, Cun-Hui 4 Lalley, Steven P. 4 Levin, Bruce R. 2 Kallianpur, Gopinath 2 Moriguti, Sigeiti 2 Starr, Norman 2 Wei, Ching-Zong 1 Bahadur, Raghu Raj 1 Cabilio, Paul 1 Chapman, Douglas G. 1 Derman, Cyrus 1 Dvoretzky, Aryeh 1 Flehinger, Betty J. 1 Ghurye, Sudhish G. 1 Hannan, James Francis 1 Harries, T. E. 1 Hoeffding, Wassily 1 Hsu, Pao-Lu 1 Louis, Thomas Arthur 1 Mallows, Colin Lingwood 1 Monro, Sutton 1 Pitman, Edwin James George 1 Rasmussen, Will T. 1 Samuel, Ester 1 Samuels, Stephen M. 1 Simons, Gordon 1 Singer, Burton H. 1 Sobel, Milton 1 Teicher, Henry 1 van Ryzin, John 1 Wendel, James G. 1 Whitehead, John Raymond 1 Yu, Kai Fun
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#### Serials

 35 Proceedings of the National Academy of Sciences of the United States of America 25 Annals of Mathematical Statistics 7 Bulletin of the American Mathematical Society 6 American Mathematical Monthly 3 The Annals of Statistics 3 Journal of Applied Probability 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Israel Journal of Mathematics 2 Biometrika 2 Duke Mathematical Journal 2 Kiberneticheskiĭ Sbornik. Novaya Seriya 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 1 Advances in Applied Probability 1 Journal of Mathematical Analysis and Applications 1 Illinois Journal of Mathematics 1 Journal of the American Statistical Association 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Proceedings of the American Mathematical Society 1 Statistics & Probability Letters 1 American Journal of Mathematical and Management Sciences 1 Probability Theory and Related Fields 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Bulletin de l’Institut International de Statistique 1 Publications of the Mathematical Institute of the Hungarian Academy of Sciences, Series A 1 The College Mathematics Journal 1 Revue de l’Institut International de Statistique
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#### Fields

 60 Statistics (62-XX) 27 Probability theory and stochastic processes (60-XX) 12 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Numerical analysis (65-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

124 Publications have been cited 4,041 times in 3,419 Documents Cited by Year
A stochastic approximation method. Zbl 0054.05901
Robbins, Herbert; Monro, Sutton
1951
Complete convergence and the law of large numbers. Zbl 0030.20101
Hsu, P. L.; Robbins, Herbert
1947
Great expectations: The theory of optimal stopping. Zbl 0233.60044
Chow, Y. S.; Robbins, Herbert; Siegmund, David
1971
On the asymptotic theory of fixed-width sequential confidence intervals for the mean. Zbl 0142.15601
Chow, Y. S.; Robbins, H.
1965
A remark on Stirling’s formula. Zbl 0068.05404
Robbins, Herbert
1955
The empirical Bayes approach to statistical decision problems. Zbl 0138.12304
Robbins, H.
1964
Some aspects of the sequential design of experiments. Zbl 0049.37009
Robbins, Herbert
1952
Asymptotically efficient adaptive allocation rules. Zbl 0568.62074
Lai, T. L.; Robbins, Herbert
1985
An empirical Bayes approach to statistics. Zbl 0074.35302
Robbins, Herbert
1956
The central limit theorem for dependent random variables. Zbl 0031.36701
Hoeffding, Wassily; Robbins, Herbert
1948
A convergence theorem for non negative almost supermartingales and some applications. Zbl 0286.60025
Robbins, H.; Siegmund, D.
1971
A theorem on graphs, with an application to a problem of traffic control. Zbl 0021.35703
Robbins, H. E.
1939
Strong consistency of least squares estimates in multiple regression II. Zbl 0416.62051
Lai, T. L.; Robbins, Herbert; Wei, C. Z.
1979
What is mathematics? JFM 67.0001.05
Courant, R.; Robbins, H.
1941
What is mathematics? Zbl 0060.12302
Courant, Richard; Robbins, Herbert
1941
Moments of randomly stopped sums. Zbl 0134.35601
Chow, Y. S.; Robbins, H.; Teicher, H.
1965
Asymptotically subminimax solutions of compound statistical decision problems. Zbl 0044.14803
Robbins, Herbert
1951
Some thoughts on empirical Bayes estimation. Zbl 0522.62024
Robbins, Herbert
1983
The asymptotic distribution of the sum of a random number of random variables. Zbl 0034.22503
Robbins, Herbert
1948
Statistical methods related to the law of the iterated logarithm. Zbl 0239.62025
Robbins, Herbert
1970
Optimal selection based on relative rank (the ’Secretary Problem’). Zbl 0149.14402
Chow, Y. S.; Moriguti, S.; Robbins, H.; Samuels, S. M.
1964
Adaptive design and stochastic approximation. Zbl 0426.62059
Lai, T. L.; Robbins, Herbert
1979
A sequential analogue of the Behrens-Fisher problem. Zbl 0157.48105
Robbins, H.; Simons, G.; Starr, N.
1967
Boundary crossing probabilities for the Wiener process and sample sums. Zbl 0255.60058
Robbins, Herbert; Siegmund, David
1970
Estimating the total probability of the unobserved outcomes of an experiment. Zbl 0155.25801
Robbins, H. E.
1968
Minimum variance estimation without regularity assumptions. Zbl 0044.34302
Chapman, Douglas G.; Robbins, Herbert
1951
Ergodic theory of Markov chains admitting an infinite invariant measure. Zbl 0051.10503
Harries, T. E.; Robbins, Herbert
1953
On the measure of random set. Zbl 0060.29405
Robbins, H. E.
1944
On sums of independent random variables with infinite moments and ”fair” games. Zbl 0099.35103
Chow, Y. S.; Robbins, Herbert
1961
Application of the method of mixtures to quadratic forms in normal variates. Zbl 0036.20801
Robbins, Herbert; Pitman, E. J. G.
1949
Maximally dependent random variables. Zbl 0352.60013
Lai, T. L.; Robbins, Herbert
1976
On optimal stopping rules. Zbl 0161.16302
Chow, Y. S.; Robbins, H.
1963
Consistency and asymptotic efficiency of slope estimates in stochastic approximation schemes. Zbl 0472.62089
Lai, Tze Leung; Robbins, Herbert
1981
On the ”parking” problem. Zbl 0251.60023
Dvoretzky, A.; Robbins, H.
1964
Ergodic property of the Brownian motion process. Zbl 0053.10003
Kallianpur, Gopinath; Robbins, H.
1953
Sequential estimation of the mean of a normal population. Zbl 0095.13005
Robbins, Herbert
1959
The empirical Bayes approach to testing statistical hypotheses. Zbl 0117.14104
Robbins, H.
1963
A class of dependent random variables and their maxima. Zbl 0377.60022
Lai, Tze Leung; Robbins, Herbert
1978
The sequence of sums of independent random variables. Zbl 0055.36704
Kallianpur, Gopinath; Robbins, H.
1954
What is mathematics? An elementary approach to ideas and methods. Revised by Ian Stewart. 2nd. ed. Zbl 0865.00001
Courant, Richard; Robbins, Herbert
1996
On the law of the iterated logarithm for maxima and minima. Zbl 0281.60027
Robbins, H.; Siegmund, D.
1972
What is mathematics? An elementary approach to ideas and methods. JFM 67.0967.01
Courant, R.; Robbins, H.
1941
Strong consistency of least squares estimates in multiple regression. Zbl 0386.62051
Lai, T. L.; Robbins, Herbert; Wei, C. Z.
1978
A martingale system theorem and applications. Zbl 0126.14002
Chow, Y.; Robbins, H.
1961
On the measure of a random set. II. Zbl 0060.29406
Robbins, H. E.
1945
A sequential decision problem with a finite memory. Zbl 0073.13402
Robbins, Herbert
1956
The expected sample size of some tests of power one. Zbl 0318.62069
Robbins, H.; Siegmund, D.
1974
Sequential tests involving two populations. Zbl 0296.62072
Robbins, Herbert; Siegmund, David O.
1974
Statistical tests of power one and the integral representation of solutions of certain partial differential equations. Zbl 0289.62055
Robbins, H.; Siegmund, D.
1973
A theorem of graphs, with an application to a problem of traffic control. JFM 65.0861.01
Robbins, H. E.
1939
A sequential procedure for selecting the largest of k means. Zbl 0188.49802
Robbins, H.; Sobel, Milton; Starr, N.
1968
The theory of optimal stopping. Corrected reprint of the 1971 original. Zbl 1093.60508
Chow, Yuan Shih; Robbins, Herbert; Siegmund, David
1991
On the equidistribution of sums of independent random variables. Zbl 0053.26704
Robbins, Herbert
1953
Mixture of distribution. Zbl 0037.36301
Robbins, Herbert
1948
What is mathematics? 5th ed. Zbl 1207.00002
Courant, Richard; Robbins, Herbert
2010
Iterated logarithm inequalities. Zbl 0167.46902
Darling, D. A.; Robbins, H.
1967
Asymptotic solutions of the compound decision problem for two completely specified distributions. Zbl 0064.38703
Hannan, James F.; Robbins, Herbert
1955
On optimal stopping rules for $$s_ n /n$$. Zbl 0173.46104
Chow, Yuan S.; Robbins, Herbert
1965
Iterated least squares in multiperiod control. Zbl 0489.62073
Lai, T. L.; Robbins, Herbert
1982
Selecting the highest probability in binomial or multinomial trials. Zbl 0473.62069
Levin, Bruce; Robbins, Herbert
1981
The limiting distribution of the last time $$s_n \geq n \varepsilon$$. Zbl 0254.60032
Robbins, H.; Siegmund, D.; Wendel, J.
1968
Estimating a multiplicative treatment effect under biased allocation. Zbl 0735.62031
Robbins, Herbert; Zhang, Cun-Hui
1991
Sequential medical trials. Zbl 0453.62066
Lai, T. L.; Levin, Bruce; Robbins, Herbert; Siegmund, David
1980
A remark on the joint distribution of cumulative sums. Zbl 0056.12803
Robbins, Herbert
1954
On distribution-free tolerance limits in random sampling. Zbl 0060.30605
Robbins, Herbert
1944
Estimating the superiority of a drug to a placebo when all and only those patients at risk are treated with the drug. Zbl 0665.62108
Robbins, Herbert; Zhang, C.-H.
1989
Estimating a treatment effect under biased sampling. Zbl 0639.62098
Robbins, Herbert; Zhang, Cun-Hui
1988
Stochastic search in a convex region. Zbl 0617.60086
Lalley, Steven; Robbins, Herbert
1988
What is mathematics? An elementary approach to ideas and methods. Zbl 0442.00001
Courant, Richard; Robbins, Herbert
1978
Strong consistency of leastsquares estimates in regression models. Zbl 0359.62051
Lai, T. L.; Robbins, Herbert
1977
Prediction and estimation for the compound Poisson distribution. Zbl 0359.62014
Robbins, Herbert
1977
The $$U,V$$ method of estimation. Zbl 0685.62032
Robbins, Herbert
1988
An empirical Bayes estimation problem. Zbl 0456.62029
Robbins, Herbert
1980
Limit theorems for weighted sums and stochastic approximation processes. Zbl 0379.60028
Lai, T. L.; Robbins, Herbert
1978
A sequential test for two binomial populations. Zbl 0308.62077
Robbins, Herbert
1974
Finding the size of a finite population. Zbl 0161.38503
Darling, D. A.; Robbins, H.
1967
Two-stage procedures for estimating the difference between means. Zbl 0055.12902
Ghurye, S. G.; Robbins, Herbert
1954
The distribution of a definite quadratic form. Zbl 0032.17202
Robbins, Herbert
1948
Optimal stopping. Zbl 0216.22602
Robbins, H.
1970
A renewal theorem for random variables which are dependent or non- identically distributed. Zbl 0211.21702
Chow, Y. S.; Robbins, H.
1963
The strong law of large numbers when the first moment does not exist. Zbl 0064.38202
Derman, C.; Robbins, H.
1955
The problem of the greater mean. Zbl 0040.07501
Bahadur, Raghu Raj; Robbins, Herbert
1950
Linear empirical Bayes estimation of means and variances. Zbl 0559.62034
Robbins, Herbert
1985
Adaptive design and the multiperiod control problem. Zbl 0573.62058
Lai, T. L.; Robbins, Herbert
1982
Reducing the number of inferior treatments in clinical trials. Zbl 0241.62058
Flehinger, B. J.; Louis, T. A.; Robbins, Herbert; Singer, B. H.
1972
Some nonparametric sequential tests with power one. Zbl 0241.62033
Darling, D. A.; Robbins, Herbert
1968
Some further remarks on inequalities for sample sums. Zbl 0185.45501
Darling, D. A.; Robbins, H.
1968
On values associated with a stochastic sequence. Zbl 0255.60032
Chow, Y. S.; Robbins, H.
1967
confidence sequences for mean, variance, and median. Zbl 0173.21002
Darling, D. A.; Robbins, H.
1967
An extension of a lemma of Wald. Zbl 0245.60040
Robbins, H.; Samuel, E.
1966
The distribution of Student’s $$t$$ when the population means are unequal. Zbl 0031.36802
Robbins, Herbert
1948
Remarks on the secretary problem. Zbl 0749.62053
Robbins, Herbert
1991
Asymptotically optimal allocation of treatments in sequential experiments. Zbl 0589.62057
Lai, T. L.; Robbins, Herbert
1984
Lai, T. L.; Robbins, Herbert
1978
Sequential estimation of p in Bernoulli trials. Zbl 0354.62065
Robbins, Herbert; Siegmund, David
1976
The candidate problem with unknown population size. Zbl 0328.60025
Rasmussen, Will T.; Robbins, Herbert
1975
Sequential estimation of p with squared relative error loss. Zbl 0297.62066
Cabilio, Paul; Robbins, Herbert
1975
Inequalities for the sequence of sample means. Zbl 0173.21001
Darling, D. A.; Robbins, H.
1967
On the asymptotic distribution of the sum of a random number of random variables. Zbl 0030.40203
Robbins, Herbert
1948
A note on the Riemann integral. Zbl 0061.09911
Robbins, H. E.
1943
What is mathematics? 5th ed. Zbl 1207.00002
Courant, Richard; Robbins, Herbert
2010
Mathematical aspects of estimating two treatment effects and a common variance in an assured allocation design. Zbl 1021.62092
Levin, Bruce; Robbins, Herbert; Zhang, Cun-Hui
2002
What is mathematics? 5., unveränd. Aufl. Zbl 1160.00300
Courant, Richard; Robbins, Herbert
2001
Efficiency of the $$u,v$$ method of estimation. Zbl 0968.62030
Robbins, Herbert; Zhang, Cun-Hui
2000
What is mathematics? An elementary approach to ideas and methods. Revised by Ian Stewart. 2nd. ed. Zbl 0865.00001
Courant, Richard; Robbins, Herbert
1996
The theory of optimal stopping. Corrected reprint of the 1971 original. Zbl 1093.60508
Chow, Yuan Shih; Robbins, Herbert; Siegmund, David
1991
Estimating a multiplicative treatment effect under biased allocation. Zbl 0735.62031
Robbins, Herbert; Zhang, Cun-Hui
1991
Remarks on the secretary problem. Zbl 0749.62053
Robbins, Herbert
1991
Estimating the superiority of a drug to a placebo when all and only those patients at risk are treated with the drug. Zbl 0665.62108
Robbins, Herbert; Zhang, C.-H.
1989
Uniformly ergodic search in a disk. Zbl 0685.90061
Lalley, S. P.; Robbins, Herbert E.
1989
Estimating a treatment effect under biased sampling. Zbl 0639.62098
Robbins, Herbert; Zhang, Cun-Hui
1988
Stochastic search in a convex region. Zbl 0617.60086
Lalley, Steven; Robbins, Herbert
1988
The $$U,V$$ method of estimation. Zbl 0685.62032
Robbins, Herbert
1988
Stochastic search in a square and on a torus. Zbl 0647.90110
Lalley, S. P.; Robbins, H. E.
1988
Asymptotically minimax stochastic search strategies in the plane. Zbl 0613.90108
Lalley, Steven; Robbins, Herbert
1987
Asymptotically efficient adaptive allocation rules. Zbl 0568.62074
Lai, T. L.; Robbins, Herbert
1985
Linear empirical Bayes estimation of means and variances. Zbl 0559.62034
Robbins, Herbert
1985
Asymptotically optimal allocation of treatments in sequential experiments. Zbl 0589.62057
Lai, T. L.; Robbins, Herbert
1984
Optimal sequential sampling from two populations. Zbl 0534.62056
Lai, T. L.; Robbins, Herbert
1984
Some thoughts on empirical Bayes estimation. Zbl 0522.62024
Robbins, Herbert
1983
Sequential design of comparative clinical trials. Zbl 0538.62071
Lai, T. L.; Robbins, Herbert; Siegmund, David
1983
Adaptive choice of mean or median in estimating the center of a symmetric distribution. Zbl 0515.62029
Lai, T. L.; Robbins, Herbert; Yu, K. F.
1983
Iterated least squares in multiperiod control. Zbl 0489.62073
Lai, T. L.; Robbins, Herbert
1982
Adaptive design and the multiperiod control problem. Zbl 0573.62058
Lai, T. L.; Robbins, Herbert
1982
Estimating many variances. Zbl 0599.62036
Robbins, Herbert
1982
Consistency and asymptotic efficiency of slope estimates in stochastic approximation schemes. Zbl 0472.62089
Lai, Tze Leung; Robbins, Herbert
1981
Selecting the highest probability in binomial or multinomial trials. Zbl 0473.62069
Levin, Bruce; Robbins, Herbert
1981
Sequential medical trials. Zbl 0453.62066
Lai, T. L.; Levin, Bruce; Robbins, Herbert; Siegmund, David
1980
An empirical Bayes estimation problem. Zbl 0456.62029
Robbins, Herbert
1980
Estimation and prediction for mixtures of the exponential distribution. Zbl 0462.62026
Robbins, Herbert
1980
Strong consistency of least squares estimates in multiple regression II. Zbl 0416.62051
Lai, T. L.; Robbins, Herbert; Wei, C. Z.
1979
Adaptive design and stochastic approximation. Zbl 0426.62059
Lai, T. L.; Robbins, Herbert
1979
Local convergence theorems for adaptive stochastic approximation schemes. Zbl 0414.62064
Lai, T. L.; Robbins, Herbert
1979
A class of dependent random variables and their maxima. Zbl 0377.60022
Lai, Tze Leung; Robbins, Herbert
1978
Strong consistency of least squares estimates in multiple regression. Zbl 0386.62051
Lai, T. L.; Robbins, Herbert; Wei, C. Z.
1978
What is mathematics? An elementary approach to ideas and methods. Zbl 0442.00001
Courant, Richard; Robbins, Herbert
1978
Limit theorems for weighted sums and stochastic approximation processes. Zbl 0379.60028
Lai, T. L.; Robbins, Herbert
1978
Lai, T. L.; Robbins, Herbert
1978
Strong consistency of leastsquares estimates in regression models. Zbl 0359.62051
Lai, T. L.; Robbins, Herbert
1977
Prediction and estimation for the compound Poisson distribution. Zbl 0359.62014
Robbins, Herbert
1977
Maximally dependent random variables. Zbl 0352.60013
Lai, T. L.; Robbins, Herbert
1976
Sequential estimation of p in Bernoulli trials. Zbl 0354.62065
Robbins, Herbert; Siegmund, David
1976
The candidate problem with unknown population size. Zbl 0328.60025
Rasmussen, Will T.; Robbins, Herbert
1975
Sequential estimation of p with squared relative error loss. Zbl 0297.62066
Cabilio, Paul; Robbins, Herbert
1975
The expected sample size of some tests of power one. Zbl 0318.62069
Robbins, H.; Siegmund, D.
1974
Sequential tests involving two populations. Zbl 0296.62072
Robbins, Herbert; Siegmund, David O.
1974
A sequential test for two binomial populations. Zbl 0308.62077
Robbins, Herbert
1974
Statistical tests of power one and the integral representation of solutions of certain partial differential equations. Zbl 0289.62055
Robbins, H.; Siegmund, D.
1973
On the law of the iterated logarithm for maxima and minima. Zbl 0281.60027
Robbins, H.; Siegmund, D.
1972
Reducing the number of inferior treatments in clinical trials. Zbl 0241.62058
Flehinger, B. J.; Louis, T. A.; Robbins, Herbert; Singer, B. H.
1972
Great expectations: The theory of optimal stopping. Zbl 0233.60044
Chow, Y. S.; Robbins, Herbert; Siegmund, David
1971
A convergence theorem for non negative almost supermartingales and some applications. Zbl 0286.60025
Robbins, H.; Siegmund, D.
1971
Statistical methods related to the law of the iterated logarithm. Zbl 0239.62025
Robbins, Herbert
1970
Boundary crossing probabilities for the Wiener process and sample sums. Zbl 0255.60058
Robbins, Herbert; Siegmund, David
1970
Optimal stopping. Zbl 0216.22602
Robbins, H.
1970
Estimating the total probability of the unobserved outcomes of an experiment. Zbl 0155.25801
Robbins, H. E.
1968
A sequential procedure for selecting the largest of k means. Zbl 0188.49802
Robbins, H.; Sobel, Milton; Starr, N.
1968
The limiting distribution of the last time $$s_n \geq n \varepsilon$$. Zbl 0254.60032
Robbins, H.; Siegmund, D.; Wendel, J.
1968
Some nonparametric sequential tests with power one. Zbl 0241.62033
Darling, D. A.; Robbins, Herbert
1968
Some further remarks on inequalities for sample sums. Zbl 0185.45501
Darling, D. A.; Robbins, H.
1968
Iterated logarithm inequalities and related statistical procedures. Zbl 0211.50903
Robbins, H.; Siegmund, D.
1968
A sequential analogue of the Behrens-Fisher problem. Zbl 0157.48105
Robbins, H.; Simons, G.; Starr, N.
1967
Iterated logarithm inequalities. Zbl 0167.46902
Darling, D. A.; Robbins, H.
1967
Finding the size of a finite population. Zbl 0161.38503
Darling, D. A.; Robbins, H.
1967
On values associated with a stochastic sequence. Zbl 0255.60032
Chow, Y. S.; Robbins, H.
1967
confidence sequences for mean, variance, and median. Zbl 0173.21002
Darling, D. A.; Robbins, H.
1967
Inequalities for the sequence of sample means. Zbl 0173.21001
Darling, D. A.; Robbins, H.
1967
What is mathematics? An elementary approach to ideas and methods. Zbl 0155.00101
Courant, Richard; Robbins, Herbert
1967
Some complements to Brouwer’s fixed point theorem. Zbl 0153.24702
Robbins, Herbert
1967
A class of optimal stopping problems. Zbl 0255.60031
Chow, Y. S.; Robbins, H.
1967
An extension of a lemma of Wald. Zbl 0245.60040
Robbins, H.; Samuel, E.
1966
On the asymptotic theory of fixed-width sequential confidence intervals for the mean. Zbl 0142.15601
Chow, Y. S.; Robbins, H.
1965
Moments of randomly stopped sums. Zbl 0134.35601
Chow, Y. S.; Robbins, H.; Teicher, H.
1965
On optimal stopping rules for $$s_ n /n$$. Zbl 0173.46104
Chow, Yuan S.; Robbins, Herbert
1965
The empirical Bayes approach to statistical decision problems. Zbl 0138.12304
Robbins, H.
1964
Optimal selection based on relative rank (the ’Secretary Problem’). Zbl 0149.14402
Chow, Y. S.; Moriguti, S.; Robbins, H.; Samuels, S. M.
1964
On the ”parking” problem. Zbl 0251.60023
Dvoretzky, A.; Robbins, H.
1964
Some problems of optimal sampling strategy. Zbl 0133.11601
Mallows, C. L.; Robbins, H.
1964
On optimal stopping rules. Zbl 0161.16302
Chow, Y. S.; Robbins, H.
1963
The empirical Bayes approach to testing statistical hypotheses. Zbl 0117.14104
Robbins, H.
1963
A renewal theorem for random variables which are dependent or non- identically distributed. Zbl 0211.21702
Chow, Y. S.; Robbins, H.
1963
A Bayes test of “$$p\leq 1\over 2$$” versus “$$p > 1\over 2$$”. Zbl 0201.51903
Moriguti, S.; Robbins, H.
1962
On sums of independent random variables with infinite moments and ”fair” games. Zbl 0099.35103
Chow, Y. S.; Robbins, Herbert
1961
A martingale system theorem and applications. Zbl 0126.14002
Chow, Y.; Robbins, H.
1961
Recurrent games and the Petersburg paradox. Zbl 0118.15104
Robbins, H.
1961
Sequential estimation of the mean of a normal population. Zbl 0095.13005
Robbins, Herbert
1959
An empirical Bayes approach to statistics. Zbl 0074.35302
Robbins, Herbert
1956
A sequential decision problem with a finite memory. Zbl 0073.13402
Robbins, Herbert
1956
A remark on Stirling’s formula. Zbl 0068.05404
Robbins, Herbert
1955
Asymptotic solutions of the compound decision problem for two completely specified distributions. Zbl 0064.38703
Hannan, James F.; Robbins, Herbert
1955
The strong law of large numbers when the first moment does not exist. Zbl 0064.38202
Derman, C.; Robbins, H.
1955
The sequence of sums of independent random variables. Zbl 0055.36704
Kallianpur, Gopinath; Robbins, H.
1954
A remark on the joint distribution of cumulative sums. Zbl 0056.12803
Robbins, Herbert
1954
Two-stage procedures for estimating the difference between means. Zbl 0055.12902
Ghurye, S. G.; Robbins, Herbert
1954
Ergodic theory of Markov chains admitting an infinite invariant measure. Zbl 0051.10503
Harries, T. E.; Robbins, Herbert
1953
Ergodic property of the Brownian motion process. Zbl 0053.10003
Kallianpur, Gopinath; Robbins, H.
1953
On the equidistribution of sums of independent random variables. Zbl 0053.26704
Robbins, Herbert
1953
Some aspects of the sequential design of experiments. Zbl 0049.37009
Robbins, Herbert
1952
A stochastic approximation method. Zbl 0054.05901
Robbins, Herbert; Monro, Sutton
1951
Asymptotically subminimax solutions of compound statistical decision problems. Zbl 0044.14803
Robbins, Herbert
1951
...and 24 more Documents
all top 5

#### Cited by 4,362 Authors

 79 Mukhopadhyay, Nitis 39 Wang, Xuejun 32 Lai, Tze Leung 31 Sung, Soohak 28 Volodin, Andrei I. 25 Hu, Shuhe 22 Liang, TaChen 21 Chen, Pingyan 20 Karunamuni, Rohana J. 19 Gut, Allan 18 Zhang, Li-Xin 17 Hu, Tienchung 17 Wu, Yi 17 Wu, Yongfeng 16 Shen, Aiting 16 Sriram, T. N. 14 Sen, Pranab Kumar 13 Ghosh, Malay 13 Robbins, Herbert Ellis 12 Chang, Yuan-chin Ivan 12 Rosalsky, Andrew 12 Spătaru, Aurel 12 Sunklodas, Jonas Kazys 11 Govindarajulu, Zakkula 11 Gupta, Shanti Swarup 11 Martinsek, Adam T. 11 Miao, Yu 11 Qiu, Dehua 11 Tanaka, Teruo 11 Wu, Qunying 11 Yang, Wenzhi 10 Chaturvedi, Ajit Kumar 10 Fu, Ke’ang 10 Hwang, Leng-Cheng 10 Irle, Albrecht 9 Hill, Theodore Preston 9 Levin, Bruce R. 9 Liang, Faming 9 Martin, Ryan R. 9 Wang, Xinghui 9 Wei, Laisheng 9 Zacks, Shelemyahu 9 Zhang, Cun-Hui 8 Aaronson, Jon 8 Allaart, Pieter C. 8 Chen, Hanfu 8 Ko, Mi-Hwa 8 Li, Tze Fen 8 Powell, Warren Buckler 8 Rekab, Kamel 8 Singh, Radhey S. 8 Yoshida, Yuji 8 Zeevi, Assaf J. 7 Akahira, Masafumi 7 Aoshima, Makoto 7 Bapat, Sudeep R. 7 Borkar, Vivek Shripad 7 Bruss, Franz Thomas 7 Cheon, Sooyoung 7 Dippon, Jürgen 7 Giambruno, Antonio 7 Hamdy, Hosny I. 7 Isogai, Eiichi 7 Katehakis, Michael N. 7 Koh, Khee Meng 7 Liang, Hanying 7 Pensky, Marianna 7 Rüschendorf, Ludger 7 Samuel-Cahn, Ester 7 Shanbhag, Uday V. 7 Stadje, Wolfgang 7 van Ryzin, John 7 Woodroofe, Michael Barrett 7 Yin, Gang George 7 Zang, Qingpei 7 Zhang, Zhiyi 6 Boshuizen, Frans A. 6 Brown, Lawrence David 6 Cai, Guanghui 6 Chow, Yuan Shih 6 Coad, D. Stephen 6 Csörgő, Miklós 6 Dahmani, Abdelnasser 6 Dmitrienko, Alexei 6 Doerr, Benjamin 6 Eryılmaz, Serkan N. 6 Geertsema, Jan C. 6 Hu, Feifang 6 Huang, Haiwu 6 Klesov, Oleg I. 6 Kohler, Michael 6 Kolnogorov, Alexander V. 6 Kurano, Masami 6 Lan, Guanghui 6 Lee, Sangyeol 6 Li, Xiaoqin 6 Lin, Zhengyan 6 Liu, Chenglin 6 Maller, Ross Arthur 6 Munos, Rémi ...and 4,262 more Authors
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#### Cited in 491 Serials

 181 Sequential Analysis 172 Statistics & Probability Letters 159 Journal of Statistical Planning and Inference 154 Communications in Statistics. Theory and Methods 69 Stochastic Processes and their Applications 66 Annals of the Institute of Statistical Mathematics 64 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 62 The Annals of Statistics 57 Journal of Multivariate Analysis 45 Metrika 42 Journal of Inequalities and Applications 39 European Journal of Operational Research 38 Journal of Mathematical Analysis and Applications 35 Stochastic Analysis and Applications 35 Journal of Theoretical Probability 33 Journal of Applied Probability 33 Statistics 33 SIAM Journal on Optimization 30 Journal of Statistical Computation and Simulation 27 Automatica 25 Lithuanian Mathematical Journal 25 Transactions of the American Mathematical Society 25 Computational Statistics and Data Analysis 25 Mathematical Programming. Series A. Series B 24 Operations Research 24 Proceedings of the American Mathematical Society 24 Statistical Science 23 Journal of Optimization Theory and Applications 23 Statistical Papers 21 Kybernetika 20 Information Sciences 19 The Canadian Journal of Statistics 19 Discrete Applied Mathematics 19 The Annals of Applied Probability 18 Advances in Applied Probability 18 Discrete Mathematics 18 Psychometrika 18 Advances in Applied Mathematics 18 Machine Learning 17 Theoretical Computer Science 17 Annals of Operations Research 17 Probability in the Engineering and Informational Sciences 16 Acta Mathematica Sinica. English Series 16 Journal of Machine Learning Research (JMLR) 16 Electronic Journal of Statistics 16 Statistics and Computing 15 The Annals of Probability 15 Mathematics of Operations Research 15 American Journal of Mathematical and Management Sciences 15 Probability Theory and Related Fields 15 Neural Computation 15 Automation and Remote Control 15 Journal of Mathematical Sciences (New York) 15 Journal of Nonparametric Statistics 14 Journal of Econometrics 14 Communications in Statistics. Simulation and Computation 14 Pattern Recognition 14 Bernoulli 14 Stochastics 13 Insurance Mathematics & Economics 13 Algorithmica 12 Israel Journal of Mathematics 12 Acta Mathematicae Applicatae Sinica. English Series 12 Bulletin of the American Mathematical Society 11 International Journal of Mathematical Education in Science and Technology 11 Mathematical Methods of Statistics 11 Abstract and Applied Analysis 10 The Mathematical Intelligencer 10 Journal of Economic Theory 10 Journal of Soviet Mathematics 10 Games and Economic Behavior 10 Applied Mathematics. Series B (English Edition) 9 Computers & Mathematics with Applications 9 Journal of Statistical Physics 9 Mathematical Notes 9 Journal of Computational and Applied Mathematics 9 Journal of Mathematical Psychology 9 Scandinavian Actuarial Journal 9 Acta Mathematica Hungarica 9 Optimization 9 Optimization Methods & Software 9 Discrete Dynamics in Nature and Society 9 The Annals of Applied Statistics 8 Mathematics of Computation 8 Applied Mathematics and Computation 8 Biometrics 8 Journal of Number Theory 8 Systems & Control Letters 8 Operations Research Letters 8 Journal of Economic Dynamics & Control 8 Applications of Mathematics 8 Vestnik St. Petersburg University. Mathematics 8 Mathematical Methods of Operations Research 8 Methodology and Computing in Applied Probability 8 Statistical Methodology 8 Journal of the Korean Statistical Society 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 International Journal of Systems Science 7 Journal of the American Statistical Association 7 Journal of Combinatorial Theory. Series B ...and 391 more Serials
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#### Cited in 60 Fields

 1,663 Statistics (62-XX) 1,178 Probability theory and stochastic processes (60-XX) 394 Operations research, mathematical programming (90-XX) 296 Numerical analysis (65-XX) 269 Computer science (68-XX) 257 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 151 Combinatorics (05-XX) 140 Systems theory; control (93-XX) 64 Biology and other natural sciences (92-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 49 Number theory (11-XX) 42 History and biography (01-XX) 40 Information and communication theory, circuits (94-XX) 29 Measure and integration (28-XX) 29 Dynamical systems and ergodic theory (37-XX) 28 Statistical mechanics, structure of matter (82-XX) 25 Real functions (26-XX) 25 Convex and discrete geometry (52-XX) 23 Partial differential equations (35-XX) 22 Special functions (33-XX) 22 Approximations and expansions (41-XX) 19 Functional analysis (46-XX) 19 Geometry (51-XX) 18 Operator theory (47-XX) 17 General and overarching topics; collections (00-XX) 17 Mathematical logic and foundations (03-XX) 16 Ordinary differential equations (34-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Group theory and generalizations (20-XX) 10 General topology (54-XX) 9 Sequences, series, summability (40-XX) 9 Mechanics of deformable solids (74-XX) 8 Quantum theory (81-XX) 7 Mechanics of particles and systems (70-XX) 6 Associative rings and algebras (16-XX) 6 Differential geometry (53-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Fluid mechanics (76-XX) 4 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-XX) 4 Integral transforms, operational calculus (44-XX) 3 Field theory and polynomials (12-XX) 3 Functions of a complex variable (30-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Geophysics (86-XX) 3 Mathematics education (97-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX)

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