Hybrid censoring samples in assessment the lifetime performance index of Chen distributed products

The performance and potential of a process of industrial products is assessed under lower specification limit by lifetime performance index ( ). In this paper, under consideration the independent lifetimes Chen products with known one shape parameters the of the performance of a process is evaluated. For the hybrid censoring scheme the maximum likelihood (ML) estimate of is constructed as well as confidence interval for is developing. Also, Bayesian approach is adopted to estimates and credibly interval is constructed. Some theoretical results of hypothesis tests of is adopted. Finally, our obtaining results will be assessed and compared through Monte Carlo simulation study and numerical example.