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.