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More on the Waiting Time Till Each of Some Given Patterns Occurs as a Run

Published online by Cambridge University Press:  20 November 2018

Tamás F. Móri
Tamás F. Móri*
Affiliation:
Eötvös University, Budapest, Múzeum krt. 6-8, H-1088 Hungary
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Let H be a finite set; we can suppose H = { 1, 2, …,d } . Consider Hn, the set of length n words over the alphabet H. For every A ∈ Hn define the waiting time for A as the number of experiments needed till A appears as a connected sub-sequence of random elements of H. Formally, let X1, X2,... be i. i. d. random variables, P(X1 = i) = d−1, 1 ≤ i ≤ d then

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 42 , Issue 5 , 01 October 1990 , pp. 915 - 932
Copyright
Copyright © Canadian Mathematical Society 1990

References

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