Distance-covariance-based tests for heteroscedasticity in nonlinear regressions  

作　　者：Kai Xu Mingxiang Cao 

机构地区：[1]School of Mathematics and Statistics,Anhui Normal University,Wuhu 241002,China

出　　处：《Science China Mathematics》2021年第10期2327-2356,共30页中国科学：数学（英文版）

基　　金：National Natural Science Foundation of China(Grant Nos.11901006 and 11601008);Natural Science Foundation of Anhui Province(Grant No.1908085QA06)。

摘　　要：In this paper,we propose a new numerical scheme for the coupled Stokes-Darcy model with the Beavers-Joseph-Saffman interface condition.We use the weak Galerkin method to discretize the Stokes equation and the mixed finite element method to discretize the Darcy equation.A discrete inf-sup condition is proved and the optimal error estimates are also derived.Numerical experiments validate the theoretical analysis.

关 键 词：BOOTSTRAP distance covariance heteroscedasticity testing nonlinear regression test of independence 

分 类 号：O212.1[理学—概率论与数理统计]