A Novel Lifetime Model With A Bathtub-Shaped Hazard Rate: Properties & Applications

Abstract

A novel three-parameter lifetime model called the Marshall Olkin power Ailamujia (MOPA) distribution is developed. The statistical qualities and reliability characteristics of the proposed model are examined, including moment, generating function, incomplete moments, mean deviation, Bonferroni, and Lorenz curves. The maximum likelihood technique has been used to investigate the estimate of underlying parameters. Finally, two real-world datasets are utilized to show the model’s applicability.

Keywords

• marshall-olkin family
• power ailamujia
• hazard rate function
• moments
• residual analysis
• maximum likelihood estimation