Title
Gaps in samples of geometric random variables
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].
Year
DOI
Venue
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. Goh1379.89
Pawel Hitczenko25215.48