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Convergence theorems for the lengths of consecutive successes of Markov Bernoulli sequences
Published online by Cambridge University Press: 14 July 2016
Abstract
The limiting distributions of the sums of the lengths of four different kinds of runs of consecutive successes of Markov Bernoulli sequences are derived. It is shown that the limits are convolutions of several distributions involving the Bernoulli, the geometric and the Poisson or compound Poisson distributions.
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- Copyright © Applied Probability Trust 2003
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