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Herbert E. Robbins - Publications

Affiliations: 
1946-1952 University of North Carolina, Chapel Hill, Chapel Hill, NC 
 1953-1985 Columbia University, New York, NY 
 1985-1997 Rutgers University, New Brunswick, New Brunswick, NJ, United States 
Area:
mathematical statistics
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49 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2002 Levin B, Robbins H, Zhang C. Mathematical aspects of estimating two treatment effects and a common variance in an assured allocation design Journal of Statistical Planning and Inference. 108: 255-262. DOI: 10.1016/S0378-3758(02)00312-9  0.563
2000 Robbins H, Zhang C. Efficiency of the u,v method of estimation Proceedings of the National Academy of Sciences of the United States of America. 97: 12976-12979. PMID 11087853 DOI: 10.1073/Pnas.97.24.12976  0.523
1991 ROBBINS H, ZHANG C. Estimating a multiplicative treatment effect under biased allocation Biometrika. 78: 349-354. DOI: 10.1093/Biomet/78.2.349  0.539
1989 Robbins H, Zhang C. Estimating the superiority of a drug to a placebo when all and only those patients at risk are treated with the drug. Proceedings of the National Academy of Sciences of the United States of America. 86: 3003-3005. PMID 2717608 DOI: 10.1073/Pnas.86.9.3003  0.497
1988 Robbins H, Zhang C. Estimating a treatment effect under biased sampling. Proceedings of the National Academy of Sciences of the United States of America. 85: 3670-3672. PMID 3375236 DOI: 10.1073/Pnas.85.11.3670  0.513
1988 Lalley S, Robbins H. Stochastic search in a convex region Probability Theory and Related Fields. 77: 99-116. DOI: 10.1007/Bf01848133  0.626
1987 Lalley S, Robbins H. Asymptotically minimax stochastic search strategies in the plane. Proceedings of the National Academy of Sciences of the United States of America. 84: 2111-2112. PMID 16593823 DOI: 10.1073/Pnas.84.8.2111  0.623
1985 Robbins H. Linear empirical Bayes estimation of means and variances. Proceedings of the National Academy of Sciences of the United States of America. 82: 1571-1574. PMID 3856837 DOI: 10.1073/Pnas.82.6.1571  0.344
1985 Lai T, Robbins H. Asymptotically efficient adaptive allocation rules Advances in Applied Mathematics. 6: 4-22. DOI: 10.1016/0196-8858(85)90002-8  0.515
1984 Lai TL, Robbins H. Optimal sequential sampling from two populations. Proceedings of the National Academy of Sciences of the United States of America. 81: 1284-1286. PMID 6583706 DOI: 10.1073/Pnas.81.4.1284  0.537
1983 Lai TL, Robbins H, Yu KF. Adaptive choice of mean or median in estimating the center of a symmetric distribution. Proceedings of the National Academy of Sciences of the United States of America. 80: 5803-6. PMID 16593376 DOI: 10.1073/Pnas.80.18.5803  0.563
1982 Lai T, Robbins H. Iterated least squares in multiperiod control Advances in Applied Mathematics. 3: 50-73. DOI: 10.1016/S0196-8858(82)80005-5  0.497
1981 Lai TL, Robbins H. Consistency and asymptotic efficiency of slope estimates in stochastic approximation schemes Zeitschrift F�R Wahrscheinlichkeitstheorie Und Verwandte Gebiete. 56: 329-360. DOI: 10.1007/Bf00536178  0.565
1980 Robbins H. An empirical Bayes estimation problem Proceedings of the National Academy of Sciences of the United States of America. 77: 6988-6989. PMID 16592933 DOI: 10.1073/Pnas.77.12.6988  0.371
1980 Lai TL, Levin B, Robbins H, Siegmund D. Sequential medical trials. Proceedings of the National Academy of Sciences of the United States of America. 77: 3135-3138. PMID 16592839 DOI: 10.1073/Pnas.77.6.3135  0.688
1980 Robbins H. Estimation and prediction for mixtures of the exponential distribution Proceedings of the National Academy of Sciences of the United States of America. 77: 2382-2383. PMID 16592815 DOI: 10.1073/Pnas.77.5.2382  0.386
1979 Lai TL, Robbins H. Local convergence theorems for adaptive stochastic approximation schemes Proceedings of the National Academy of Sciences of the United States of America. 76: 3065-3067. PMID 16592673 DOI: 10.1073/Pnas.76.7.3065  0.572
1979 Lai TL, Robbins H. Adaptive Design and Stochastic Approximation The Annals of Statistics. 7: 1196-1221. DOI: 10.1214/Aos/1176344840  0.575
1979 Lai TL, Robbins H, Wei CZ. Strong consistency of least squares estimates in multiple regression II Journal of Multivariate Analysis. 9: 343-361. DOI: 10.1016/0047-259X(79)90093-9  0.553
1978 Lai TL, Robbins H, Wei CZ. Strong consistency of least squares estimates in multiple regression Proceedings of the National Academy of Sciences of the United States of America. 75: 3034-3036. PMID 16592540 DOI: 10.1073/Pnas.75.7.3034  0.553
1978 Lai TL, Robbins H. Limit theorems for weighted sums and stochastic approximation processes Proceedings of the National Academy of Sciences of the United States of America. 75: 1068-1070. PMID 16592509 DOI: 10.1073/Pnas.75.3.1068  0.536
1978 Lai TL, Robbins H. Adaptive design in regression and control. Proceedings of the National Academy of Sciences of the United States of America. 75: 586-587. PMID 16592494 DOI: 10.1073/Pnas.75.2.586  0.562
1978 Lai TL, Robbins H. A class of dependent random variables and their maxima Zeitschrift F�R Wahrscheinlichkeitstheorie Und Verwandte Gebiete. 42: 89-111. DOI: 10.1007/Bf00536046  0.536
1977 Lai TL, Robbins H. Strong consistency of least-squares estimates in regression models. Proceedings of the National Academy of Sciences of the United States of America. 74: 2667-2669. PMID 16592416 DOI: 10.1073/Pnas.74.7.2667  0.565
1976 Lai TL, Robbins H. Maximally dependent random variables. Proceedings of the National Academy of Sciences of the United States of America. 73: 286-288. PMID 16578739 DOI: 10.1073/Pnas.73.2.286  0.536
1975 Cabilio P, Robbins H. Sequential Estimation of p with Squared Relative Error Loss. Proceedings of the National Academy of Sciences of the United States of America. 72: 191-193. PMID 16592210 DOI: 10.1073/Pnas.72.1.191  0.331
1974 Robbins H. A Sequential Test for Two Binomial Populations Proceedings of the National Academy of Sciences of the United States of America. 71: 4435-4436. PMID 16592196 DOI: 10.1073/Pnas.71.11.4435  0.313
1974 Robbins H, Siegmund DO. Sequential Tests Involving Two Populations Journal of the American Statistical Association. 69: 132-139. DOI: 10.1007/978-1-4612-5110-1_17  0.339
1972 Flehinger BJ, Louis TA, Robbins H, Singer BH. Reducing the number of inferior treatments in clinical trials Proceedings of the National Academy of Sciences of the United States of America. 69: 2993-2994. PMID 4562750 DOI: 10.1073/Pnas.69.10.2993  0.323
1970 Robbins H, Siegmund D. Boundary Crossing Probabilities for the Wiener Process and Sample Sums Annals of Mathematical Statistics. 41: 1410-1429. DOI: 10.1214/Aoms/1177696787  0.626
1970 Robbins H. Statistical Methods Related to the Law of the Iterated Logarithm Annals of Mathematical Statistics. 41: 1397-1409. DOI: 10.1214/Aoms/1177696786  0.348
1968 Robbins HE. Estimating the Total Probability of the Unobserved Outcomes of an Experiment Annals of Mathematical Statistics. 39: 256-257. DOI: 10.1214/Aoms/1177698526  0.326
1965 Chow YS, Robbins H, Teicher H. Moments of Randomly Stopped Sums Annals of Mathematical Statistics. 36: 465-475. DOI: 10.1007/978-1-4612-5110-1_42  0.324
1964 Robbins H. The Empirical Bayes Approach to Statistical Decision Problems Annals of Mathematical Statistics. 35: 1-20. DOI: 10.1214/Aoms/1177703729  0.317
1963 Chow YS, Robbins H. A Renewal Theorem for Random Variables which are Dependent or Non-Identically Distributed Annals of Mathematical Statistics. 34: 390-395. DOI: 10.1214/Aoms/1177704148  0.33
1963 Chow YS, Robbins H. On Optimal Stopping Rules Probability Theory and Related Fields. 2: 425-441. DOI: 10.1007/978-1-4612-5110-1_39  0.355
1956 Robbins H. A Sequential Decision Problem With A Finite Memory. Proceedings of the National Academy of Sciences of the United States of America. 42: 920-923. PMID 16589976 DOI: 10.1073/Pnas.42.12.920  0.311
1955 Derman C, Robbins H. THE STRONG LAW OF LARGE NUMBERS WHEN THE FIRST MOMENT DOES NOT EXIST. Proceedings of the National Academy of Sciences of the United States of America. 41: 586-7. PMID 16578448 DOI: 10.1073/Pnas.41.8.586  0.621
1954 Kallianpur G, Robbins H. The sequence of sums of independent random variables Duke Mathematical Journal. 21: 285-307. DOI: 10.1215/S0012-7094-54-02128-6  0.619
1953 Harris TE, Robbins H. Ergodic Theory of Markov Chains Admitting an Infinite Invariant Measure. Proceedings of the National Academy of Sciences of the United States of America. 39: 860-4. PMID 16589343 DOI: 10.1073/Pnas.39.8.860  0.593
1953 Kallianpur G, Robbins H. Ergodic Property of the Brownian Motion Process. Proceedings of the National Academy of Sciences of the United States of America. 39: 525-33. PMID 16589299 DOI: 10.1073/Pnas.39.6.525  0.633
1952 Robbins H. A Note on Gambling Systems and Birth Statistics American Mathematical Monthly. 59: 685-686. DOI: 10.1080/00029890.1952.11988221  0.336
1951 Bahadur RR, Robbins H. Correction to "The Problem of the Greater Mean" Annals of Mathematical Statistics. 22: 310-310. DOI: 10.1214/Aoms/1177729656  0.709
1951 Robbins H, Monro S. A Stochastic Approximation Method Annals of Mathematical Statistics. 22: 400-407. DOI: 10.1214/Aoms/1177729586  0.307
1950 Bahadur RR, Robbins H. The Problem of the Greater Mean Annals of Mathematical Statistics. 21: 469-487. DOI: 10.1214/Aoms/1177729746  0.708
1948 Robbins H. On the Asymptotic Distribution of the Sum of a Random Number of Random Variables. Proceedings of the National Academy of Sciences of the United States of America. 34: 162-163. PMID 16588799 DOI: 10.1073/Pnas.34.4.162  0.361
1948 Hoeffding W, Robbins H. The Central Limit Theorem for Dependent Random Variables Duke Mathematical Journal. 15: 773-780. DOI: 10.1215/S0012-7094-48-01568-3  0.344
1948 Robbins H. The asymptotic distribution of the sum of a random number of random variables Bulletin of the American Mathematical Society. 54: 1151-1161. DOI: 10.1090/S0002-9904-1948-09142-X  0.361
1947 Hsu PL, Robbins H. Complete Convergence and the Law of Large Numbers Proceedings of the National Academy of Sciences of the United States of America. 33: 25-31. PMID 16578237 DOI: 10.1073/Pnas.33.2.25  0.319
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