IJPAM: Volume 82, No. 5 (2013)

A NON-UNIFORM BOUND ON GEOMETRIC
APPROXIMATION TO THE YULE DISTRIBUTION

K. Teerapabolarn
Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND


Abstract. The aim of this paper, we use Stein's method and the $w$-function associated with the Yule random variable to obtain a non-uniform bound for the point metric of the Yule and geometric distributions. Three numerical examples are provided to illustrate the obtained result.

Received: October 18, 2012

AMS Subject Classification: 62E17, 60F05

Key Words and Phrases: geometric approximation, point metric, Stein's method, $w$-function associated with the Yule random variable, Yule distribution

Download paper from here.


DOI: 10.12732/ijpam.v82i5.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 82
Issue: 5