近日，文理学院岳荣先教授与合作者在国际期刊Journal of the Korean Statistical Society在线发表题为Optimal designs of accelerated degradation tests with random shock failures and measurement errors的研究成果，内容摘要如下：

This article is concerned with the optimal design problem of efficient statistical inference for comparing several regression curves estimated from samples of independent measurements. The objective is to find the

-optimal designs that minimize an

-norm of the asymptotic variance of the prediction for the contrasts of k regression curves. General equivalence theorems are established to verify the

-optimality in the set of all approximate designs. Invariant property with respect to model reparameterization are also obtained. The results obtained for the linear models are extended to the situation of generalized linear models. Three examples are presented to illustrate the applications of the obtained results.

论文地址：https://doi.org/10.1007/s42952-024-00272-5