Article ID Journal Published Year Pages File Type
4650301 Discrete Mathematics 2007 20 Pages PDF
Abstract

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].

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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