Binary Hypotheses Test for Degradation Process and Reliability Improvement Using Wald Test

In practical applications, the degradation path behaviour including additive and multiplicative effects can cause an abrupt jump or (and) an accelerate failure rate. For this reason, we present some concepts of model integrated covariates or combined of two degradation process modes. These model described different degradation states which characterized by multiple hypothesis, in particular we consider two hypothesis test in this work. However, these models can be used not only to decide between different states of degradation system but also to predict its reliability. This paper is focused on dynamic change detection between two hypothesis based on Wiener process model with statistical approaches such as sequential probability ratio test (SPRT). Finally, several numerical examples are given to illustrate the concepts.