A Test of the Parameter of the Exponential Distribution in the Type I Censoring Case
针对第一类删失的寿命试验，基于指数分布的最大似然估计提出一个检验假设，允许提前终止试验，并给出临界点，与Epstein(1954)的检验相比在功效和期望时长上更优。
Abstract Consider a life-testing experiment subject to Type I censoring, where m items are put on test at the outset and are not replaced on failure. Assume an exponential failure distribution F(t) = 1 – exp (– t/θ). A test of H 0: θ ≥ ξ versus H 1: θ < ξ based on the maximum likelihood estimator of θ is proposed. It is shown that early termination of the test resulting in either acceptance or rejection of H 0 is possible. Critical points are presented. The test is shown to compare favorably with a test presented by Epstein (1954) in terms of power and expected duration time. A comparison of the test with the un-truncated and truncated sequential probability ratio test is also made.