Gaps in samples of geometric random variables

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/ (number81onthelist)orat 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/ (number81onthelist)orat 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. Discret...

• Type: Journal
• Year: 2007
• Where: DM
• Authors: William M. Y. Goh, Pawel Hitczenko
• Keywords: Discrete Math, DM 2007, Gap-free Compositions, Geometric Random Variables