Ratio of Two Independent Lindley Random Variables

Shakil, M; Khadim, A; Saghir, A; Ahsanullah, M; Kibria, BM Golam; Bhatti, Ishaq

doi:10.26181/23621007.v1

1213882_Shakil,M_2022.pdf (2.17 MB)

Ratio of Two Independent Lindley Random Variables

journal contribution

posted on 2023-07-04, 01:38 authored by M Shakil, A Khadim, A Saghir, M Ahsanullah, BM Golam Kibria, Ishaq BhattiIshaq Bhatti

The distribution of the ratio of two independently distributed Lindley random variables X and Y, with different parameters, is derived. The associated distributional properties are provided. Furthermore, the proposed ratio distribution is fitted to two applications data (COVID-19 and Bladder Cancer Data), and compared it with some well-known right-skewed variations of Lindley distribution, namely; Lindley distribution, new generalized Lindley distribution, new quasi Lindley distribution and a three parameter Lindley distribution. The numerical result of the study reveals that the proposed distribution of two independent Lindley random variables fits better to the above said data sets than the compared distribution.

History

Publication Date

2022-12-01

Journal

Journal of Statistical Theory and Applications

Volume

21

Issue

4

Pagination

25p. (p. 217-241)

Publisher

Springer Nature

ISSN

1538-7887

Rights Statement

© The Author(s) 2022 This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.