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On the probability in the tail of a binomial distribution

Published online by Cambridge University Press:  01 July 2016

J. E. Littlewood
J. E. Littlewood*
Affiliation:
Trinity College, Cambridge
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Extract

Suppose that, e.g., in a guessing experiment, the chance of a ‘hit’ at each ‘attempt’ is the constant p, 0 < p < 1. Let q = 1 - p. In a large number n of attempts the ‘average’ number of hits is pn. Let m = (1 + k)pn.

Type
Research Article
Information
Advances in Applied Probability , Volume 1 , Issue 1 , Spring 1969 , pp. 43 - 72
Copyright
Copyright © Applied Probability Trust 

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References

[1] Cramér, H. (1938) Act. Sci. Indust. No. 736.Google Scholar
[2] Bahudur, R. R. and Rao, R. R. (1960) Ann. Math. Statist. 31, 1015–1120.Google Scholar