Abstract | ||
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In this note we continue the study of gaps in samples of geometric random variables originated in Hitczenko and Knopfmacher [Gap-free compositions and gap-free samples of geometric random variables. Discrete Math. 294 (2005) 225–239] and continued in Louchard and Prodinger [The number of gaps in sequences of geometrically distributed random variables, Preprint available at 〈http://www.ulb.ac.be/di/mcs/louchard/〉 (number 81 on the list) or at 〈http://math.sun.ac.za/∼ prodinger/pdffiles/gapsAPRIL27.pdf.〉] In particular, since the notion of a gap differs in these two papers, we derive some of the results obtained in Louchard and Prodinger [The number of gaps in sequences of geometrically distributed random variables, Preprint available at 〈http://www.ulb.ac.be/di/mcs/louchard/〉 (number 81 on the list) or at 〈http://math.sun.ac.za/∼prodinger/pdffiles/gapsAPRIL27.pdf.〉] for gaps as defined in Hitczenko and Knopfmacher [Gap-free compositions and gap-free samples of geometric random variables. Discrete Math. 294 (2005) 225–239]. |
Year | DOI | Venue |
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2007 | 10.1016/j.disc.2007.01.013 | Discrete Mathematics |
Keywords | Field | DocType |
Gaps,Geometric random variables,Asymptotic analysis,Mellin transform | Mellin transform,Discrete mathematics,Combinatorics,Random variable,Random sequence,Asymptotic analysis,Mathematics,Preprint | Journal |
Volume | Issue | ISSN |
307 | 22 | 0012-365X |
Citations | PageRank | References |
4 | 0.61 | 2 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
William M. Y. Goh | 1 | 37 | 9.89 |
Pawel Hitczenko | 2 | 52 | 15.48 |