Open AccessBivariate Compound Exponentiated Survival Function of the Lomax Distribution: Estimation and Prediction
Author(s) -
R. M. Refaey,
G. R. AL-Dayian,
A. A. EL-Helbawy,
A. A. EL-Helbawy
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v15i430372
Subject(s) - lomax distribution , bivariate analysis , mathematics , statistics , mean squared error , bayes estimator , bayesian probability , maximum likelihood
In this paper, bivariate compound exponentiated survival function of the Lomax distribution is constructed based on the technique considered by AL-Hussaini (2011). Some properties of the distribution are derived. Maximum likelihood estimation and prediction of the future observations are considered. Also, Bayesian estimation and prediction are studied under squared error loss function. The performance of the proposed bivariate distribution is examined using a simulation study. Finally, a real data set is analyzed under the proposed distribution to illustrate its flexibility for real-life application.