| dc.contributor.author | Barry, Michael J. J. | |
| dc.date.accessioned | 2018-03-02T16:36:03Z | |
| dc.date.available | 2018-03-02T16:36:03Z | |
| dc.date.issued | 2009-10 | |
| dc.identifier.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 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10456/45799 | |
| dc.description.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. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Royal Irish Academy | en_US |
| dc.relation.ispartof | Mathematical Proceedings of the Royal Irish Academy | en_US |
| dc.relation.isversionof | http://www.jstor.org/stable/40656996 | en_US |
| dc.rights | This article was selected and published in Royal Irish Academy ©2009 Barry. All rights reserved. | en_US |
| dc.subject | homogeneous polynomials | en_US |
| dc.title | The density function of the first occurrence of a binary pattern | en_US |
| dc.description.version | Published article | en_US |
| dc.description.version | Original manuscript prior to peer review (preprint) | en_US |
| dc.contributor.department | Mathematics | en_US |
| dc.citation.volume | 109A | en_US |
| dc.citation.issue | 2 | en_US |
| dc.citation.spage | 123 | en_US |
| dc.citation.epage | 136 | en_US |
| dc.contributor.avlauthor | Barry, Michael J. J. | |
