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Runs in m-dependent sequences. (English) Zbl 0545.60080
Author’s abstract: Consider a stationary m-dependent sequence of random indicator variables. If \(m>1\), assume further that any two nonzero values are separated by at least m-1 zeros. This paper studies the sequence of the lengths of the successive intervals between the nonzero values of the original sequence, and it is shown that, provided a technical condition holds, these lengths converge in distribution (and their moments converge exponentially fast) in all cases but one.
Reviewer: A.Gut

MSC:
60K05 Renewal theory
60F05 Central limit and other weak theorems
60K99 Special processes
60G99 Stochastic processes
60C05 Combinatorial probability
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