Regenerative Compositions in the Case of Slow Variation
| dc.creator | Barbour, Andrew D. | |
| dc.creator | Gnedin, Alexander V. | |
| dc.date | 2005-05-10 | |
| dc.date.accessioned | 2026-07-07T05:19:45Z | |
| dc.date.available | 2026-07-07T05:19:45Z | |
| dc.description | For $S$ a subordinator and $Π_n$ an independent Poisson process of intensity $ne^{-x}, x>0,$ we are interested in the number $K_n$ of gaps in the range of $S$ that are hit by at least one point of $Π_n$. Extending previous studies in \cite{Bernoulli, GPYI, GPYII} we focus on the case when the tail of the L{é}vy measure of $S$ is slowly varying. We view $K_n$ as the terminal value of a random process ${\cal K}_n$, and provide an asymptotic analysis of the fluctuations of ${\cal K}_n$, as $n\to\infty$, for a wide spectrum of situations. | |
| dc.identifier | https://arxiv.org/abs/math/0505171 | |
| dc.identifier | http://arxiv.org/abs/math/0505171 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75134 | |
| dc.subject | Probability | |
| dc.subject | 60G09, 60C05 | |
| dc.title | Regenerative Compositions in the Case of Slow Variation | |
| dc.type | text |