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

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

2004-09-03

arxiv.org/abs/math/0409042v1

ProbStat Models, 3, August-2004, p.1-7

Mathematics

Probability

7 pages

Scientific paper

Remark.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.

Affiliated with

Also associated with

No associations

Rating

Why There Are No Gaps In The Support Of Non-Negative Integer-Valued Infinitely Divisible Laws? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Why There Are No Gaps In The Support Of Non-Negative Integer-Valued Infinitely Divisible Laws?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Why There Are No Gaps In The Support Of Non-Negative Integer-Valued Infinitely Divisible Laws? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-529270