DOAJ Open Access 2008

Small parts in the Bernoulli sieve

Alexander Gnedin Alex Iksanov Uwe Roesler

Lihat Sumber DOI

Abstrak

Sampling from a random discrete distribution induced by a 'stick-breaking' process is considered. Under a moment condition, it is shown that the asymptotics of the sequence of occupancy numbers, and of the small-parts counts (singletons, doubletons, etc) can be read off from a limiting model involving a unit Poisson point process and a self-similar renewal process on the half-line.

Topik & Kata Kunci

Mathematics

Penulis (3)

Alexander Gnedin

Alex Iksanov

Uwe Roesler

Format Sitasi

APA MLA BibTeX

Gnedin, A., Iksanov, A., Roesler, U. (2008). Small parts in the Bernoulli sieve. https://doi.org/10.46298/dmtcs.3567

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.3567

Informasi Jurnal

Tahun Terbit: 2008
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.3567
Akses: Open Access ✓