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dc.contributor.authorBarry, Michael J. J.
dc.date.accessioned2018-03-02T16:36:03Z
dc.date.available2018-03-02T16:36:03Z
dc.date.issued2009-10
dc.identifier.citationBarry. 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/40656996en_US
dc.identifier.urihttp://hdl.handle.net/10456/45799
dc.description.abstractThe 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.en_US
dc.language.isoen_USen_US
dc.publisherRoyal Irish Academyen_US
dc.relation.ispartofMathematical Proceedings of the Royal Irish Academyen_US
dc.relation.isversionofhttp://www.jstor.org/stable/40656996en_US
dc.rightsThis article was selected and published in Royal Irish Academy ©2009 Barry. All rights reserved.en_US
dc.subjecthomogeneous polynomialsen_US
dc.titleThe density function of the first occurrence of a binary patternen_US
dc.description.versionPublished articleen_US
dc.description.versionOriginal manuscript prior to peer review (preprint)en_US
dc.contributor.departmentMathematicsen_US
dc.citation.volume109Aen_US
dc.citation.issue2en_US
dc.citation.spage123en_US
dc.citation.epage136en_US
dc.contributor.avlauthorBarry, Michael J. J.


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