Reliability Evaluation of an Industrial System Using Lomax-Lindley Distribution

Maihulla, Anas Sani; Yusuf, Ibrahim; Khoo, Michael B. C.; Ramatu, Idris Gatawa

doi:10.22034/IJRRS.2024.7.1.6

Reliability Evaluation of an Industrial System Using Lomax-Lindley Distribution

Document Type : Original Research Article

Authors

Anas Sani Maihulla ¹^{, 2}^{, 3}

Ibrahim Yusuf ²^{, 3}

Michael B. C. Khoo ⁴

Idris Gatawa Ramatu ⁵

¹ Department of Mathematics, Faculty of Science, Sokoto State University, Sokoto. Nigeria

² Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University, Kano, Nigeria

³ Operation Research Group, Bayero University, Kano, Nigeria

⁴ School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia

⁵ Department of Mathematics, Yusuf Maitama Sule University, Kano, Nigeria

10.22034/IJRRS.2024.7.1.6

Abstract

In this study, two parameters of the Lomax-Lindley distribution were developed, which generalized the existing Lindley distribution and has the growing and decreasing properties of the current distribution. The newly suggested Lomax-Lindley distribution parameters were estimated using maximum likelihood estimators (MLEs). Maximum likelihood estimators (MLEs) are biased for small and intermediate sample sizes. The two-parameter Lindley (TPL) distribution is increasingly being utilized to characterize data on lifetime and survival times because distribution can provide a better fit than several existing lifetime models. A real-world industrial system application is also provided to demonstrate how the concepts might be applied. The Mat Lab program was utilized for both the numerical result and the graphical representation.

Keywords

Lomax

Lindley

Reliability

Industrial system

Distribution

Sample size

Subjects

Reliability Engineering

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