H. Robbins

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A Stochastic Approximation Method

H. Robbins, 1951 .

Some aspects of the sequential design of experiments

H. Robbins, 1952 .

Some problems of optimal sampling strategy

H. Robbins, C. Mallows, 1964 .

Asymptotically efficient adaptive allocation rules

H. Robbins, T. Lai, 1985 .

Asymptotic Solutions of the Compound Decision Problem for Two Completely Specified Distributions

H. Robbins, J. Hannan, 1955 .

Asymptotically Subminimax Solutions of Compound Statistical Decision Problems

H. Robbins, 1985 .

Some Thoughts on Empirical Bayes Estimation

H. Robbins, 1983 .

The Empirical Bayes Approach to Statistical Decision Problems

H. Robbins, 1964 .

A Convergence Theorem for Non Negative Almost Supermartingales and Some Applications

H. Robbins, D. Siegmund, 1985 .

Strong consistency of least squares estimates in multiple regression

H. Robbins, T. Lai, C. Z. Wei, 1978 .

A CONVERGENCE THEOREM FOR NON NEGATIVE ALMOST SUPERMARTINGALES AND SOME APPLICATIONS**Research supported by NIH Grant 5-R01-GM-16895-03 and ONR Grant N00014-67-A-0108-0018.

H. Robbins, D. Siegmund, 1971 .

Adaptive Design and Stochastic Approximation

H. Robbins, T. Lai, 1979 .

A SEQUENTIAL DECISION PROBLEM WITH A FINITE MEMORY.

H Robbins, H. Robbins, 1956, Proceedings of the National Academy of Sciences of the United States of America.

Iterated logarithm inequalities.

H. Robbins, D. Darling, 1967, Proceedings of the National Academy of Sciences of the United States of America.

A Class of Stopping Rules for Testing Parametric Hypotheses

H. Robbins, D. Siegmund, 1985 .

Boundary Crossing Probabilities for the Wiener Process and Sample Sums

H. Robbins, D. Siegmund, 1970 .

Statistical Methods Related to the Law of the Iterated Logarithm

H. Robbins, 1970 .

Strong consistency of least squares estimates in multiple regression.

H. Robbins, T. Lai, C. Z. Wei, 1979, Proceedings of the National Academy of Sciences of the United States of America.

Adaptive design in regression and control.

H. Robbins, T. Lai, 1978, Proceedings of the National Academy of Sciences of the United States of America.

On Optimal Stopping Rules

H. Robbins, Y. Chow, 1963 .

Confidence sequences for mean, variance, and median.

H. Robbins, D. Darling, 1967, Proceedings of the National Academy of Sciences of the United States of America.

A Remark on Stirling’s Formula

H. Robbins, 1955 .

Maximally dependent random variables.

H. Robbins, T. Lai, T.L Lai, 1976, Proceedings of the National Academy of Sciences of the United States of America.

SEQUENTIAL DESIGN OF COMPARATIVE CLINICAL TRIALS

H. Robbins, T. Lai, D. Siegmund, 1983 .

Optimal sequential sampling from two populations.

H. Robbins, T. Lai, 1984, Proceedings of the National Academy of Sciences of the United States of America.

A Remark on the Joint Distribution of Cumulative Sums

H. Robbins, 1954 .

The Central Limit Theorem for Dependent Random Variables

H. Robbins, W. Hoeffding, 1948 .

A Theorem on Graphs, with an Application to a Problem of Traffic Control

H. Robbins, 1939 .

ON THE ASYMPTOTIC THEORY OF FIXED-WIDTH SEQUENTIAL CONFIDENCE INTERVALS FOR THE MEAN.

H. Robbins, Y. Chow, 1965 .

Acknowledgment of Priority: On the Measure of a Random Set, [Parts I and II]

H. Robbins, 1947 .

On the Measure of a Random Set

H. Robbins, 1944 .

Some further remarks on inequalities for sample sums.

H. Robbins, D. Darling, 1968, Proceedings of the National Academy of Sciences of the United States of America.

Some nonparametric sequential tests with power one.

H. Robbins, D. Darling, J. Neyman, 1968, Proceedings of the National Academy of Sciences of the United States of America.

The Expected Sample Size of Some Tests of Power One

H. Robbins, D. Siegmund, 1974 .

TESTING STATISTICAL HYPOTHESES. THE COMPOUND APPROACH

H. Robbins, E. Samuel, 1961 .

A Sequential Procedure for Selecting the Largest of $k$ Means

H. Robbins, M. Sobel, N. Starr, 1968 .

Minimum Variance Estimation Without Regularity Assumptions

D. G. Chapman, H. Robbins, 1951 .

Moments of Randomly Stopped Sums

H. Robbins, H. Teicher, Y. S. Chow, 1965 .

On optimal stopping rules for $S_{n}/n$

H. Robbins, Y. Chow, 1965 .

Iterated least squares in multiperiod control

H. Robbins, T. Lai, 1982 .

Strong consistency of least-squares estimates in regression models.

H. Robbins, T. Lai, 1977, Proceedings of the National Academy of Sciences of the United States of America.

A class of dependent random variables and their maxima

H. Robbins, T. Lai, 1978 .

Estimating Many Variances

H. Robbins, 1982 .

Inequalities for the sequence of sample means.

H. Robbins, D. Darling, 1967, Proceedings of the National Academy of Sciences of the United States of America.

Two-stage procedures for estimating the difference between means

H. Robbins, S. G. Ghurye, 1954 .

Estimating the Total Probability of the Unobserved Outcomes of an Experiment

H. Robbins, 1968 .

A Martingale System Theorem and Applications

H. Robbins, Y. Chow, 1961 .

Sequential Estimation of the Mean of a Normal Population

H. Robbins, 1985 .

The Distribution of a Definite Quadratic Form

Herbert Robbins, H. Robbins, 1948 .

Application of the Method of Mixtures to Quadratic Forms in Normal Variates

H. Robbins, E. Pitman, E. J. G. Pitman, 1949 .

An Empirical Bayes Approach to Statistics

H. Robbins, 1956 .

Reducing the number of inferior treatments in clinical trials.

H. Robbins, T. Louis, B. Flehinger, 1972, Proceedings of the National Academy of Sciences of the United States of America.

Sequential Tests Involving Two Populations

H. Robbins, D. Siegmund, 1974 .

On the Asymptotic Distribution of the Sum of a Random Number of Random Variables.

H. Robbins, 1948, Proceedings of the National Academy of Sciences of the United States of America.

Estimating the Total Probability of the Unobserved Outcomes of an Experiment

H. Robbins, 1968 .

Prediction and estimation for the compound Poisson distribution.

H. Robbins, 1977, Proceedings of the National Academy of Sciences of the United States of America.

Sequential Medical Trials (Stopping Rules/Asymptotic Optimality).

H. Robbins, T. Lai, D. Siegmund, 1980 .

Consistency and asymptotic efficiency of slope estimates in stochastic approximation schemes

Tze Leung Lai, Herbert Robbins, H. Robbins, 1981 .

An extension of a lemma of Wald

H. Robbins, E. Samuel, 1966 .

Jerzy Neyman Memorial Lecture Some Thoughts on Empirical Bayes Estimation

H. Robbins, 1985 .

Adaptive choice of mean or median in estimating the center of a symmetric distribution.

H Robbins, H. Robbins, T. Lai, 1983, Proceedings of the National Academy of Sciences of the United States of America.

Clinical and prophylactic trials with assured new treatment for those at greater risk: I. A design proposal.

H. Robbins, B. Levin, M. Finkelstein, 1996, American journal of public health.

Adaptive statistical procedures and related topics : proceedings of a symposium in honor of Herbert Robbins, June 7-11, 1985, Brookhaven National Laboratory, Upton, New York

H. Robbins, J. V. Ryzin, 1986 .

Selecting the highest probability in binomial or multinomial trials.

H. Robbins, B. Levin, 1981, Proceedings of the National Academy of Sciences of the United States of America.

Probability distributions related to the law of the iterated logarithm.

H Robbins, D Siegmund, H. Robbins, 1969, Proceedings of the National Academy of Sciences of the United States of America.

Prediction and estimation for the compound Poisson distribution.

H. Robbins, 1977, Proceedings of the National Academy of Sciences of the United States of America.

A SEQUENTIAL DECISION PROBLEM WITH A FINITE MEMORY.

H. Robbins, 1956, Proceedings of the National Academy of Sciences of the United States of America.

Sequential rank and the Pólya urn

H. Robbins, J. Whitehead, 1979, Journal of Applied Probability.

Sequential Estimation of p with Squared Relative Error Loss.

H. Robbins, P. Cabilio, 1975, Proceedings of the National Academy of Sciences of the United States of America.

An Interview with Herbert Robbins

H. Robbins, W. Page, 1984 .

Recurrent Games and the Petersburg Paradox

H. Robbins, 1961 .

The Distribution of Student's $t$ When the Population Means are Unequal

H. Robbins, 1948 .

Some aspects of the sequential design of experiments

H. Robbins, 1952 .

Great expectations: The theory of optimal stopping

David Siegmund, Herbert Robbins, Y. S. Chow, 1971 .

The Problem of the Greater Mean

Herbert Robbins, R. R. Bahadur, H. Robbins, 1950 .

Convergence of Distributions

H. Robbins, 1948 .

The theory of optimal stopping

David Siegmund, Y. S. Chow, Herbert Robbins, 1991 .

Mixture of Distributions

H. Robbins, 1948 .

An empirical Bayes estimation problem.

H. Robbins, 1980, Proceedings of the National Academy of Sciences of the United States of America.

Ergodic Property of the Brownian Motion Process.

H. Robbins, G. Kallianpur, 1953, Proceedings of the National Academy of Sciences of the United States of America.

Estimation and prediction for mixtures of the exponential distribution.

H. Robbins, 1980, Proceedings of the National Academy of Sciences of the United States of America.

Comments on a Paper by James Albertson

H. Robbins, 1959 .

Sequential medical trials.

T L Lai, B Levin, H Robbins, 1980, Proceedings of the National Academy of Sciences of the United States of America.

The Empirical Bayes Approach to Testing Statistical Hypotheses

H. Robbins, 1963 .

Order statistics and the Pólya urn process

H. Robbins, J. Whitehead, 1977, Advances in Applied Probability.

Complete Convergence and the Law of Large Numbers.

H Robbins, H. Robbins, P. Hsu, 1947, Proceedings of the National Academy of Sciences of the United States of America.

Optimal selection based on relative rank (the “secretary problem”)

S. M. Samuels, Y. S. Chow, Herbert Robbins, 1964 .

A Sequential Analogue of the Behrens-Fisher Problem

H. Robbins, H. Robbins, G. Simons, 1967 .

Asymptotically minimax stochastic search strategies in the plane.

H Robbins, H. Robbins, S. Lalley, 1987, Proceedings of the National Academy of Sciences of the United States of America.

Maximum likelihood estimation in regression with uniform errors

H. Robbins, Cun-Hui Zhang, 1986 .

Clinical and prophylactic trials with assured new treatment for those at greater risk: II. Examples.

H Robbins, H. Robbins, B. Levin, 1996, American journal of public health.

The sequence of sums of independent random variables

G. Kallianpur, H. Robbins, H. Robbins, 1954 .

Efficiency of the u,v method of estimation.

H Robbins, C H Zhang, H. Robbins, 2000, Proceedings of the National Academy of Sciences of the United States of America.

On the equidistribution of sums of independent random variables

H. Robbins, 1953 .

SEQUENTIAL DECISION ABOUT A NORMAL MEAN

H. Robbins, T. Lai, D. Siegmund, 1977 .

THE STRONG LAW OF LARGE NUMBERS WHEN THE FIRST MOMENT DOES NOT EXIST.

H Robbins, H. Robbins, C. Derman, 1955, Proceedings of the National Academy of Sciences of the United States of America.

A note on the ‘underadjustment phenomenon’

H. Robbins, B. Levin, 1983 .

A Note on the ‘Under adjustment Phenomenon’

H. Robbins, B. Levin, 1985 .

ON SUMS OF INDEPENDENT RANDOM VARIABLES WITH INFINITE MOMENTS AND "FAIR" GAMES.

H Robbins, H. Robbins, Y. Chow, 1961, Proceedings of the National Academy of Sciences of the United States of America.

ADAPTIVE DESIGN AND THE MULTIPERIOD CONTROL PROBLEM

H. Robbins, T. Lai, 1982 .

Local convergence theorems for adaptive stochastic approximation schemes.

H. Robbins, T. Lai, 1979, Proceedings of the National Academy of Sciences of the United States of America.

Limit theorems for weighted sums and stochastic approximation processes.

H Robbins, H. Robbins, T. Lai, 1978, Proceedings of the National Academy of Sciences of the United States of America.

On values associated with a stochastic sequence

Y. S. Chow, H Robbins, H. Robbins, 1967 .

On optimal stopping rules

Y. S. Chow, Herbert Robbins, H. Robbins, 1963 .

The U,V Method of Estimation

Herbert Robbins, H. Robbins, 1988 .

Mixture of Distributions

Herbert Robbins, H. Robbins, 1948 .

Mathematical aspects of estimating two treatment effects and a common variance in an assured allocation design

H. Robbins, Cun-Hui Zhang, B. Levin, 2002 .

Estimating a multiplicative treatment effect under biased allocation

H. Robbins, Cun-Hui Zhang, 1991 .

Estimating the superiority of a drug to a placebo when all and only those patients at risk are treated with the drug.

H. Robbins, C. H. Zhang, 1989, Proceedings of the National Academy of Sciences of the United States of America.

Estimating a treatment effect under biased sampling.

H. Robbins, C. H. Zhang, 1988, Proceedings of the National Academy of Sciences of the United States of America.

Linear empirical Bayes estimation of means and variances.

H. Robbins, 1985, Proceedings of the National Academy of Sciences of the United States of America.

SOME NUMERICAL RESULTS ON A COMPOUND DECISION PROBLEM

H. Robbins, 1961 .

Sequential choice from several populations.

H Robbins, M N Katehakis, H. Robbins, 1995, Proceedings of the National Academy of Sciences of the United States of America.

Statistical Tests of Power One and the Integral Representation of Solutions of Certain Partial Differential Equations

D. Siegmund, H. Robbins, H. Robbins, 1985 .

A Bayes Test of “p≤½” versus “p≤½”

H. Robbins, S. Moriguti, 1985 .

Report of the Chapel Hill Meeting of the Institute

Herbert Robbins, H. Robbins, 1950 .

A Renewal Theorem for Random Variables which are Dependent or Non-Identically Distributed

Y. S. Chow, Herbert Robbins, H. Robbins, 1963 .

THE LIMITING DISTRIBUTION OF THE LAST TIME s(n) >/= nin.

H. Robbins, D. Siegmund, J. Wendel, 1968, Proceedings of the National Academy of Sciences of the United States of America.

On Distribution-free Tolerance Limits in Random Sampling

Herbert Robbins, H. Robbins, 1944 .

Finding the Size of a Finite Population

H. Robbins, D. Darling, 1967 .

A Note on Gambling Systems and Birth Statistics

H. Robbins, 1952 .

A sequential test for two binomial populations.

H Robbins, H. Robbins, 1974, Proceedings of the National Academy of Sciences of the United States of America.