The density function of the first occurrence of a binary pattern
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Author(s)
Barry, Michael J. J.
Date Issued
October 2009
Abstract
The probability density function associated with the first occurrence of a binary pattern in a sequence of independent Bernoulli trials was given in McDermott and Sheahan. We give a simpler expression for it in terms of a unique family of homogeneous polynomials in two variables. In the process, we obtain a recurrence relation for the density function and we study the coefficients of the homogeneous polynomials.
Journal
Mathematical Proceedings of the Royal Irish Academy
Department
Mathematics
Citation
Barry. M.J.J. (2009). The density function of the first occurrence of a binary pattern. Royal Irish Academy, 109A(2): 123-136. Retrieved from http://www.jstor.org/stable/40656996
Publisher
Royal Irish Academy
Version of Article
Published article
Original manuscript prior to peer review (preprint)
Rights
This article was selected and published in Royal Irish Academy ©2009 Barry. All rights reserved.
Subjects
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