THE RATES OF CONVERGENCE OF M-ESTIMATORS FOR PARTLY LINEAR MODELS IN DEPENDENT CASES

作     者：LIU LUOFEI(Depatment of Mathematics, Jishou University, Hunan 416000, China) LIU LUOFEI(Depatment of Mathematics, Jishou University, Hunan 416000, China)

作者机构：BEIJING UNIVDEPT PROBABIL & STATBEIJING 100871PEOPLES R CHINA UNIV SCI & TECHNOL CHINAGRAD SCHBEIJING 100039PEOPLES R CHINA 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：1996年第17卷第3期

页      面：317-324页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Lusternik-Schnirelmann category Finite covering map Principal G-bundle 

摘      要：The author proves several embedding theorems for finite covering maps, principal G-bundlesinto bundles. The main results are1. Let π: E→X be a finite covering mapt and X a connected locally pathconnectedparacompact space. If cat X≤5 k, then the finite covering space π: E→X can be embeddedinto the trivial real k-plane bundle.2. Let x: E→ X be a principal G-bundle over a paracompact space. If there exists alinear action of G on F (F = R or C) and cat X≤ k, then π: E→X can be embedded intofor any F-vector bundles ζi, i = 1,’’’ k.