This is a preview and has not been published.

An Extension of the Geometric Distribution with Properties and Applications

Authors

  • Subrata Chakraborty Professor, Department of Statistics, Dibrugarh University
  • Seng Huat Ong Professor, UCSI University, Kuala Lumpur, Malaysia
  • Aniket Biswas Dibrugarh University

Abstract

A new parameter is introduced to extend the geometric distribution using Azzalini's method. Several important structural properties of the proposed two-parameter extended geometric distribution are investigated. Characterizations including for the geometric distribution, in terms of the proposed model, are established. Maximum likelihood estimation, method of moment estimation and relative frequency based estimation of the parameters are discussed in detail. The likelihood ratio test regarding relevance of the additional parameter is presented. Bayesian estimation of the parameters using STAN is also discussed. The proposed model is compared with some recently introduced two-parameter count models by analyzing two real-life datasets. The findings clearly indicate superiority of the proposed model over the rest.

Downloads

How to Cite

Chakraborty, S., Ong, S. H., & Biswas, A. An Extension of the Geometric Distribution with Properties and Applications. Austrian Journal of Statistics, 52(3), 124–142. Retrieved from https://www.ajs.or.at/index.php/ajs/article/view/1487

Issue

Vol. 52 No. 3 (2023): Regular Issue

Section

Articles

License

The Austrian Journal of Statistics publish open access articles under the terms of the Creative Commons Attribution (CC BY) License. 

The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed.

Copyright on any research article published by the Austrian Journal of Statistics is retained by the author(s). Authors grant the Austrian Journal of Statistics a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.

 

Manuscripts should be unpublished and not be under consideration for publication elsewhere. By submitting an article, the author(s) certify that the article is their original work, that they have the right to submit the article for publication, and that they can grant the above license.