Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Some Structural Properties Related to the Borel-Taner Distribution and its’ Application

Some Structural Properties Related to the Borel-Taner Distribution and its’ Application Abstract The Borel-Tanner distribution, with two shape parameters, and r, has some leverage over the Poisson distribution, other mixtures of the Poisson distribution, and several other discrete distributions, as it can be applied to both under and over-dispersed count data. In this article, some structural properties are studied that have not been explored earlier including recursive relation between successive probabilities. For illustrative purposes, two real-life data sets will be considered to show the applicability of this distribution that are re-analyzed for this purpose. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png American Journal of Mathematical and Management Sciences Taylor & Francis

Some Structural Properties Related to the Borel-Taner Distribution and its’ Application

15 pages

Loading next page...
 
/lp/taylor-francis/some-structural-properties-related-to-the-borel-taner-distribution-and-LpZFiXp7sh

References (20)

Publisher
Taylor & Francis
Copyright
© 2023 Taylor & Francis Group, LLC
ISSN
2325-8454
eISSN
0196-6324
DOI
10.1080/01966324.2023.2175631
Publisher site
See Article on Publisher Site

Abstract

Abstract The Borel-Tanner distribution, with two shape parameters, and r, has some leverage over the Poisson distribution, other mixtures of the Poisson distribution, and several other discrete distributions, as it can be applied to both under and over-dispersed count data. In this article, some structural properties are studied that have not been explored earlier including recursive relation between successive probabilities. For illustrative purposes, two real-life data sets will be considered to show the applicability of this distribution that are re-analyzed for this purpose.

Journal

American Journal of Mathematical and Management SciencesTaylor & Francis

Published: Apr 3, 2023

Keywords: Borel-Tanner distribution; recursive relation; stochastic ordering; maximum likelihood estimation; earthquake data; federalist data

There are no references for this article.