MULTIVARIATE RECURSIVE M-ESTIMATORS OF LOCATION AND SCATTER FOR DEPENDENT SEQUENCES

被引:7
|
作者
ENGLUND, JE
机构
关键词
ROBUST ESTIMATION; RECURSIVE M-ESTIMATORS; ADAPTIVE STOCHASTIC APPROXIMATION; STRONG MIXING; STRONG CONVERGENCE; SCATTER MATRIX;
D O I
10.1006/jmva.1993.1038
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
This paper treats strong convergence of adaptive multivariate recursive M-estimators of location when the scatter matrices are unknown. The observations are elliptically distributed and form a strictly stationary strong mixing sequence. The main algorithm handles a recursive estimator of location and scatter which corresponds to the non-recursive robust M-estimator of location and scatter proposed by Maronna. © 1993 Academic Press Inc.
引用
收藏
页码:257 / 273
页数:17
相关论文
共 50 条
  • [1] RECURSIVE M-ESTIMATORS OF LOCATION AND SCALE FOR DEPENDENT SEQUENCES
    ENGLUND, JE
    HOLST, U
    RUPPERT, D
    [J]. SCANDINAVIAN JOURNAL OF STATISTICS, 1988, 15 (02) : 147 - 159
  • [2] ROBUST M-ESTIMATORS OF MULTIVARIATE LOCATION AND SCATTER
    MARONNA, RA
    [J]. ANNALS OF STATISTICS, 1976, 4 (01): : 51 - 67
  • [3] ROBUST M-ESTIMATORS OF MULTIVARIATE LOCATION AND SCATTER IN THE PRESENCE OF ASYMMETRY
    WIENS, DP
    ZHENG, Z
    [J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1986, 14 (02): : 161 - 176
  • [4] RECURSIVE M-ESTIMATORS OF LOCATION
    HOLST, U
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1987, 16 (08) : 2201 - 2226
  • [5] Asymptotic Performance of Complex M-Estimators for Multivariate Location and Scatter Estimation
    Meriaux, Bruno
    Ren, Chengfang
    El Korso, Mohammed Nabil
    Breloy, Arnaud
    Forster, Philippe
    [J]. IEEE SIGNAL PROCESSING LETTERS, 2019, 26 (02) : 367 - 371
  • [6] Limiting behavior of recursive M-estimators in multivariate linear regression models
    Miao, BQ
    Wu, Y
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1996, 59 (01) : 60 - 80
  • [7] ON THE RELATION BETWEEN S-ESTIMATORS AND M-ESTIMATORS OF MULTIVARIATE LOCATION AND COVARIANCE
    LOPUHAA, HP
    [J]. ANNALS OF STATISTICS, 1989, 17 (04): : 1662 - 1683
  • [8] M-ESTIMATORS OF SCATTER WITH EIGENVALUE SHRINKAGE
    Ollila, Esa
    Palomar, Daniel P.
    Pascal, Frederic
    [J]. 2020 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, 2020, : 5305 - 5309
  • [9] Regularized M-Estimators of Scatter Matrix
    Ollila, Esa
    Tyler, David E.
    [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2014, 62 (22) : 6059 - 6070
  • [10] M-ESTIMATORS AND GNOSTICAL ESTIMATORS OF LOCATION
    NOVOVICOVA, J
    [J]. PROBLEMS OF CONTROL AND INFORMATION THEORY-PROBLEMY UPRAVLENIYA I TEORII INFORMATSII, 1989, 18 (06): : 397 - 407