Abstract
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.