DOAJ Open Access 2012

Exactly Solvable Balanced Tenable Urns with Random Entries via the Analytic Methodology

Basile Morcrette Hosam M. Mahmoud

Lihat Sumber DOI

Abstrak

This paper develops an analytic theory for the study of some Pólya urns with random rules. The idea is to extend the isomorphism theorem in Flajolet et al. (2006), which connects deterministic balanced urns to a differential system for the generating function. The methodology is based upon adaptation of operators and use of a weighted probability generating function. Systems of differential equations are developed, and when they can be solved, they lead to characterization of the exact distributions underlying the urn evolution. We give a few illustrative examples.

Topik & Kata Kunci

Mathematics

Penulis (2)

Basile Morcrette

Hosam M. Mahmoud

Format Sitasi

APA MLA BibTeX

Morcrette, B., Mahmoud, H.M. (2012). Exactly Solvable Balanced Tenable Urns with Random Entries via the Analytic Methodology. https://doi.org/10.46298/dmtcs.2996

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2996

Informasi Jurnal

Tahun Terbit: 2012
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2996
Akses: Open Access ✓