Geometry of an accelerated model with censored data

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:317

Article

Zhang, Fode¹  Shi, Yimin¹  Zhang, Chunfang¹ 

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China

关键词: Accelerated life testing;    Geometry Progressively Type-Il censoring;    Prediction;    Asymptotic expansion;   

DOI  :  10.1016/j.cam.2016.11.050

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free