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Runs in Bernoulli trials

Published online by Cambridge University Press:  22 September 2016

D. J. Colwell  and
J. R. Gillett
D. J. Colwell
Affiliation:
Department of Mathematics, North Staffordshire Polytechnic, Stafford ST18 0AD
J. R. Gillett
Affiliation:
Department of Mathematics, North Staffordshire Polytechnic, Stafford ST18 0AD
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Extract

In a sequence of Bernoulli trials suppose the outcomes are either successes (S) or failures (F). A list of these outcomes will consist of runs of S’s and F’s and it is the purpose of this article to investigate such runs. Initially the investigation will be pursued theoretically. Then the theoretical model will be applied to data provided by the Test Matches which have been played between England and Australia for many years, to give a comparison between the expected results and those that have actually been achieved.

Type
Research Article
Information
The Mathematical Gazette , Volume 68 , Issue 445 , October 1984 , pp. 196 - 199
Copyright
Copyright © Mathematical Association 1984

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