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On the ratio of two independent weighted Lindley variables
Journal of the Korean Data & Information Science Society 2019;30:681-91
Published online May 31, 2019;  https://doi.org/10.7465/jkdi.2019.30.3.681
© 2019 Korean Data and Information Science Society.

Changsoo Lee1 · Kyungsu Ahn2

12Department of Flight Operation, Kyungwoon University
Correspondence to: Associate professor, Department of Flight Operation, Kyungwoon University, Gumi 730-850, Korea. E-mail: cslee@ikw.ac.kr
This research is supported by 2019 Kyungwoon University Research Fund.
Received December 12, 2018; Revised May 2, 2019; Accepted May 4, 2019.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We shall consider the distribution for the ratio based on two independent two parameter Lindley random variables and two independent weighted Lindley random variables respectively. We shall observe the skewness for each the ratio and shall study numerically trends for the skewness for each the ratio based on two independent two parameter Lindley random variables and two independent weighted Lindley random variables. We shall consider the correlation coeffcient between two variables having a bivariate weighted Lindley density based on the weighted Lindley density.
Keywords : Bivariate weighted Lindley density, correlation coeffcient, IFR, Lindley distribution, weighted Lindley density.