Further thoughts on a sequential life testing approach using a Weibull model

摘要

The sequential life testing approach, developed primarily by Wald (Wald, 1947), is a hypothesis testing situation in which a decision is made about accepting, rejecting or continuing sampling as observations become available. In this study we develop further the sequential life testing approach presented in a previous article (De Souza 1999), using an underlying Weibull sampling distribution. We will again provide rules for making one of the three possible decisions as each observation becomes available; that is: accept the null hypothesis H_0; reject the null hypothesis H_0; or obtain additional information by making another observation. Further, we will determine the Operating Characteristic Curve - O.C. curve - for this test, with the probability of accepting the null hypothesis H_0 considered in two situations; when θ = θ_0 and also when β = β_0. A new example will further develop the proposed sequential life testing approach.