Reliability Evaluation of an Industrial System Using Lomax-Lindley Distribution

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.