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The Number of Two Consecutive Successes in a Hoppe-Pólya Urn

Published online by Cambridge University Press:  14 July 2016

Lars Holst*
Affiliation:
Royal Institute of Technology
*
Postal address: Department of Mathematics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden. Email address: [email protected]
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Abstract

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In a sequence of independent Bernoulli trials the probability of success in the kth trial is pk = a / (a + b + k − 1). An explicit formula for the binomial moments of the number of two consecutive successes in the first n trials is obtained and some consequences of it are derived.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 2008 

References

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