Implementing lifetime performance index of products from type-II right - censored data using Lomax distribution
- Danush Kanchana Wijekularathna (Troy University)
- Olivia Catherine Dabbert (Troy University)
- Morgan Caleb Pridgen (Troy University)
Abstract
Process capability analysis has been widely applied in the manufacturing industry to monitor the performance of industrial processes. The lifetime performance index CL is used to assess the performance and potential of their process, where L is the lower specification limit. In the case of product processing a two-parameter Lomax distribution, the study will apply the transformation technology to construct a maximum likelihood estimator (MLE) of CL based on type-II right-censored data. Then, the MLE of the CL is utilized to develop the new hypothesis testing procedure in the condition known as lower specification limit. Finally, we give an example and the Monte Carlo simulation to assess the behavior of the proposed method under the given significance level α
Keywords: Lifetime Performance index, Lomax distribution, e Monte Carlo simulation, Maximum likelihood estimates
How to Cite:
Wijekularathna, D. K., Dabbert, O. C. & Pridgen, M. C., (2021) “Implementing lifetime performance index of products from type-II right - censored data using Lomax distribution”, North Carolina Journal of Mathematics and Statistics 7(1).
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