Geometry of an accelerated model with censored data

From the geometrical point of view, a statistical model can be considered as a manifold with parameter plays the role of a coordinate system. In this paper, the geometrical quantities of a statistical model equipped with k-step-stress accelerated life test and progressively Type-II censoring are obtained, where censoring is allowed not only at each stress change time but also at each failure time. As an application of these quantities, the asymptotic expansions of the Bayesian prediction are investigated. Finally, some computation and simulation results are presented to illustrate our main results.