Why There Are No Gaps In The Support Of Non-Negative Integer-Valued Infinitely Divisible Laws?

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dc.creatorSatheesh, S.
dc.date2004-09-03
dc.date.accessioned2026-07-07T08:06:27Z
dc.date.available2026-07-07T08:06:27Z
dc.descriptionRemark.9 in Bose-Dasgupta-Rubin (2002) review states that when a non-negative integer-valued infinitely divisible law has an atom at unity then its support cannot have any gaps. Here one has two questions. (i) Why there are no gaps and (ii) Can there be gaps if the condition is not satisfied. Our investigation with these questions in mind centers on the implications of having and not having atoms at zero and unity. We give two examples/ constructions, which show that the remark needs modification and we modify it.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0409042
dc.identifierhttp://arxiv.org/abs/math/0409042
dc.identifierProbStat Models, 3, August-2004, p.1-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130609
dc.subjectProbability
dc.subjectStatistics Theory
dc.subject60 E 05, 60 E 07, 60 E 10 and 62 E 10
dc.titleWhy There Are No Gaps In The Support Of Non-Negative Integer-Valued Infinitely Divisible Laws?
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