Herbert Robbins
Rutgers University
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Publication
Featured researches published by Herbert Robbins.
American Mathematical Monthly | 1955
Herbert Robbins
We shall prove Stirling’s formula by showing that for n=1, 2,…
Duke Mathematical Journal | 1948
Wassily Hoeffding; Herbert Robbins
Journal of Multivariate Analysis | 1979
Tze Leung Lai; Herbert Robbins; C.Z Wei
n! = \sqrt {2\pi } {n^{n + 1/2}}{e^{ - n}} \cdot {e^{{r_n}}}
Archive | 1985
Herbert Robbins
Annals of Mathematical Statistics | 1968
Herbert Robbins
(1) where rn satisfies the double inequality
Annals of Mathematical Statistics | 1965
Y. S. Chow; Herbert Robbins; Henry Teicher
Probability Theory and Related Fields | 1963
Y. S. Chow; Herbert Robbins
\frac{1}{{12n + 1}} < {r_n} < \frac{1}{{12n}}.
Journal of the American Statistical Association | 1974
Herbert Robbins; David Siegmund
Probability Theory and Related Fields | 1981
Tze Leung Lai; Herbert Robbins
(2) .
Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume 1: Contributions to the Theory of Statistics | 1961
Y. S. Chow; Herbert Robbins
The central limit theorem has been extended to the case of dependent random variables by several authors (Bruns, Markoff, S. Bernstein, P. Levy, Loeve). The conditions under which these theorems are stated either are very restrictive or involve conditional distributions, which makes them difficult to apply. In the present paper we prove central limit theorems for sequences of dependent random variables of a certain special type which occurs frequently in mathematical statistics. The hypotheses do not involve conditional distributions.