Generalized confidence limits for the performance index of the exponentially distributed lifetime

摘要

Under a two-parameter exponential distribution, this study constructs the generalized lower confidence limit of the lifetime performance index C-L based on type-II right-censored data. The confidence limit has to be numerically obtained; however, the required computations are simple and straightforward. Confidence limits of C-L computed under the generalized paradigm are compared with those of C-L computed under the classical paradigm, citing an illustrative example with real data and two examples with simulated data, to demonstrate the merits and advantages of the proposed generalized variable method over the classical method.