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Fluctuations in the ratio of scores in counting a ballot

Published online by Cambridge University Press:  14 July 2016

Lajos Takács
Lajos Takács*
Affiliation:
Columbia University, New York
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Extract

Suppose that in a ballot candidate A scores a votes and candidate B scores b votes and that all the possible voting records are equally probable. Denote by α r and β r, the number of votes registered for A and B respectively among the first r votes recorded. Let µ, be a nonnegative integer. Denote by Pj(a, b) the probability that the inequality holds for exactly j subscripts r=1,2,..,a + b.

Type
Short Communications
Information
Journal of Applied Probability , Volume 1 , Issue 2 , December 1964 , pp. 393 - 396
Copyright
Copyright © Applied Probability Trust 

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References

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