Spatial local M-estimation under association

被引:1
|
作者
Jia, Chen [1 ]
Lixin, Zhang [1 ]
Degui, Li [1 ]
机构
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
关键词
local M-estimation; spatial processes; association; consistency; asymptotic normality;
D O I
10.1007/s00184-006-0119-y
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We investigate the asymptotic behavior of a robust version of local linear regression estimators with variable bandwidth for spatial associated processes. The weak consistency of the proposed estimators is given under appropriate conditions. Furthermore, we establish the asymptotic normality of the estimators, from which expressions for the asymptotic bias and variance can be derived.
引用
收藏
页码:11 / 29
页数:19
相关论文
共 50 条
  • [1] Spatial local M-estimation under association
    Chen Jia
    Zhang Lixin
    Li Degui
    [J]. Metrika, 2008, 67 : 11 - 29
  • [2] Local Linear M-estimation in non-parametric spatial regression
    Lin, Zhengyan
    Li, Degui
    Gao, Jiti
    [J]. JOURNAL OF TIME SERIES ANALYSIS, 2009, 30 (03) : 286 - 314
  • [3] Local linear M-estimation for spatial processes in fixed-design models
    Chen, Jia
    Zhang, Li-Xin
    [J]. METRIKA, 2010, 71 (03) : 319 - 340
  • [4] Local linear M-estimation for spatial processes in fixed-design models
    Jia Chen
    Li-Xin Zhang
    [J]. Metrika, 2010, 71 : 319 - 340
  • [5] Minimax M-estimation under Adversarial Corruption
    Bhatt, Sujay
    Fang, Guanhua
    Li, Ping
    Samorodnitsky, Gennady
    [J]. INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 162, 2022,
  • [6] Local M-estimation for jump-diffusion processes
    Wang, Yunyan
    Zhang, Lixin
    Tang, Mingtian
    [J]. STATISTICS & PROBABILITY LETTERS, 2012, 82 (07) : 1273 - 1284
  • [7] IMAGE REGISTRATION UNDER LOCAL ILLUMINATION VARIATIONS USING ROBUST BISQUARE M-ESTIMATION
    Fouad, Mohamed M.
    Dansereau, Richard M.
    Whitehead, Anthony D.
    [J]. 2010 IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, 2010, : 917 - 920
  • [8] The Local Linear M-Estimation with Missing Response Data
    Luo, Shuanghua
    Zhang, Cheng-Yi
    Xu, Fengmin
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [9] M-estimation in linear models under nonstandard conditions
    El Bantli, F
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2004, 121 (02) : 231 - 248
  • [10] RESTRICTED M-ESTIMATION
    NYQUIST, H
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 1992, 14 (04) : 499 - 507