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Research Report SRR97-014
On patterns in sequences of random events
J. Gani, A. Irle
Abstract:
This paper considers patterns of particular events
A1,...,Ak (k \geq 2) in
sequences of trials, some independent and others
Markovian. Matrix recursions are found for the number of sequences
of length n avoiding a specific pattern, and the associated
probability of this event is evaluated. A Markov chain method for
the study of such problems is outlined, and is illustrated in
various cases. Finally, configurations of length 3 in Bernoulli
trials are examined as an example.
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