English

A note on the gaps in the support of discretely infinitely divisible laws

Probability 2014-05-01 v2

Abstract

In this note we discuss the nature of gaps in the support of a discretely infinitely divisible distribution from the angle of compound Poisson laws/processes. The discussion is extended to infinitely divisible distributions on the non-negative real line.

Keywords

Cite

@article{arxiv.1311.4536,
  title  = {A note on the gaps in the support of discretely infinitely divisible laws},
  author = {Anthony G. Pakes and S. Satheesh},
  journal= {arXiv preprint arXiv:1311.4536},
  year   = {2014}
}

Comments

6 pages; Presented at the National Conference on Statistics for Twenty-First Century-2012 (during 10-12 December 2012, Department of Statistics, University of Kerala, Trivandrum, India) under the title, Poisson process thinking on some results in infinite divisibility