Reliability evaluation of an industrial system using Lomax-Lindley distribution

Articles in Press

Document Type : Original Research Article

Authors

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

2 Department of Mathematical Sciences,Bayero University, Kano

3 School of Mathematical Sciences, Universiti Sains Malaysia, Penang, MALAYSIA

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

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 parameters in the newly suggested Lomax-Lindley distribution were estimated using maximum likelihood estimators (MLEs). Maximum likelihood estimators (MLEs) are biased for small and intermediate sample sizes, respectively. The two-parameter Lindley (TPL) distribution is increasingly being utilized to characterize data on lifetime and survival times. 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.

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References

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International Journal of Reliability, Risk and Safety: Theory and Application

Articles in Press, Accepted Manuscript
Available Online from 13 April 2024

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  • Receive Date: 01 January 2024
  • Revise Date: 21 March 2024
  • Accept Date: 02 April 2024

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