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Estimations for parameters in a bivariate beta distribution
Journal of the Korean Data & Information Science Society 2021;32:669-78
Published online May 31, 2021;
© 2021 Korean Data and Information Science Society.

Changsoo Lee1

1Department of Flight Operation, Kyungwoon University
Correspondence to: This research was supported by a Research Grant of Kyungwoon University in 2021.
1 Associate professor, Department of Flight Operation, Kyungwoon University, Gumi 730-850, Korea. E-mail :
Received March 27, 2021; Revised May 3, 2021; Accepted May 12, 2021.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
We will consider the distribution and the moment of the ratio R = X=(X + Y) in a bivariate beta distribution for (X; Y). And we will observe the skewness of the ratio and numerically study trends for the skewness of the ratio based on a bivariate beta distribution. Also, we will derive approximate MLEs of three parameters and the reliability in the bivariate beta distribution.
Keywords : Approximate MLE, bivariate beta distribution, ratio, reliability, skewness.