Numerical Analysis and Applicable Mathematics
Title
Three Parameter Weighted Exponential-Lomax Distribution: Properties and Applications in Reliability Engineering
Authors
Shakila Bashir*a and Kanwal Aslamb
aDepartment of Statistics, Forman Christian College a Chartered University, Lahore, Pakistan.
bDepartment of Statistics, Kinnaird College for Women, Lahore, Pakistan.
*Corresponding author E-mail address: shakilabashir@fccollege.edu.pk (Shakila Bashir)
Article History
Publication details: Received: 18th May 2021; Revised: 30th August 2022; Accepted: 30th August 2022; Published:15th September 2022
Cite this article
Shakila B.; Aslam K. Three Parameter Weighted Exponential-Lomax Distribution: Properties and Applications in Reliability Engineering. Numer. Anal. Appl. Math., 2022, 3(6), 15-24.
Abstract
In this article, a new distribution named weighted exponential Lomax (WEL) distribution is developed. Probability density function and cumulative distribution function are constructed along with their graphs. Several statistical properties: moments, quantile function, random number generator, mean deviation and reliability measures (survival function, hazard function, cumulative hazard rate, reversed hazard rate and mean residual function), Lorenz & Bonferroni curves, Renyi entropy, Q-entropy and Shannon entropy have also been derived. Parameters are estimated by maximum likelihood estimation (MLE). The model is applied on the two data sets to check the reliability of the products. Finally, after applications and comparison with existing models, it is suggested that the proposed is more flexible in the reliability engineering.
Keywords
WEL; Moments; MGF; CGF; CF; Mean deviation; Entropies; MLE
