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- Herbert Robbins, Sutton Monro
- 2007

Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, inâ€¦ (More)

- Herbert Robbins
- 2005

Let X be a random variable which for simplicity we shall assume to have discrete values x and which has a probability distribution depending in a known way on an unknown real parameter A, (1) p (xIX)â€¦ (More)

- T L Lai, Herbert Robbins, Cheng-i Wei
- Proceedings of the National Academy of Sciencesâ€¦
- 1978

The strong consistency of least squares estimates in multiple regression models with independent errors is obtained under minimal assumptions on the design and weak moment conditions on the errors.

- T L Lai, Herbert Robbins
- Proceedings of the National Academy of Sciencesâ€¦
- 1976

Let X(1),..., X(n) have an arbitrary common marginal distribution function F, and let M(n) = max(X(1),..., X(n)). It is shown that EM(n) </= m(n), where m(n) = a(n) + n[unk](an) (infinity)[1 -F(x)]dxâ€¦ (More)

- Michael N. Katehakis, Herbert Robbins
- Proceedings of the National Academy of Sciencesâ€¦
- 1995

We consider the problem of sampling sequentially from two or more populations in such a way as to maximize the expected sum of outcomes in the long run.

- T L Lai, Herbert Robbins
- Proceedings of the National Academy of Sciencesâ€¦
- 1978

When y = M(x) + epsilon, where M may be nonlinear, adaptive regression designs of the levels x(1), x(2),... at which y(1), y(2),... are observed lead to asymptotically efficient estimates of theâ€¦ (More)

- Herbert Robbins
- Proceedings of the National Academy of Sciencesâ€¦
- 1956

- Herbert Robbins
- Bulletin of the Hospital for Joint Diseases
- 1976

- Herbert Robbins, Chuan Huan Zhang
- Proceedings of the National Academy of Sciencesâ€¦
- 1988

Methods are presented for the estimation of a treatment effect based on before- and after-treatment values, where for ethical reasons all and only those patients are treated whose before-treatmentâ€¦ (More)

- T L Lai, Beth Levin, Herbert Robbins, David Siegmund
- Proceedings of the National Academy of Sciencesâ€¦
- 1980

A model for sequential clinical trials is discussed. Three proposed stopping rules are studied by the Monte Carlo method for small patient horizons and mathematically for large patient horizons. Theyâ€¦ (More)