ON BOOTSTRAPPING M-ESTIMATORS

被引:0
|
作者
LAHIRI, SN [1 ]
机构
[1] IOWA STATE UNIV SCI & TECHNOL,DEPT STAT,AMES,IA 50011
关键词
BOOTSTRAP; EDGEWORTH EXPANSION; M-ESTIMATOR;
D O I
暂无
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
Under certain regularity conditions this paper gives an almost sure asymptotic expansion for the distribution of bootstrapped M-estimators in a multivariate setting. Using this expansion the bootstrap approximation to the distribution of standardized M-estimator is shown to be of the order of o(n-1/2)almost surely, thereby extending a result of Singh (1981) about the sample mean to M-estimators.
引用
收藏
页码:157 / 170
页数:14
相关论文
共 50 条
  • [1] Bootstrapping M-estimators in generalized autoregressive conditional heteroscedastic models
    Mukherjee, K.
    [J]. BIOMETRIKA, 2020, 107 (03) : 753 - 760
  • [2] BOOTSTRAPPING M-ESTIMATORS OF A MULTIPLE LINEAR-REGRESSION PARAMETER
    LAHIRI, SN
    [J]. ANNALS OF STATISTICS, 1992, 20 (03): : 1548 - 1570
  • [3] Redescending M-estimators
    Shevlyakov, Georgy
    Morgenthaler, Stephan
    Shurygin, Alexander
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (10) : 2906 - 2917
  • [4] Characterizing M-estimators
    Dimitriadis, Timo
    Fissler, Tobias
    Ziegel, Johanna
    [J]. BIOMETRIKA, 2024, 111 (01) : 339 - 346
  • [5] ON INCONSISTENT M-ESTIMATORS
    FREEDMAN, DA
    DIACONIS, P
    [J]. ANNALS OF STATISTICS, 1982, 10 (02): : 454 - 461
  • [6] 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
  • [7] Moment convergence of M-estimators
    Nishiyama, Yoichi
    [J]. STATISTICA NEERLANDICA, 2010, 64 (04) : 505 - 507
  • [8] M-estimators for isotonic regression
    Alvarez, Enrique E.
    Yohai, Victor J.
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2012, 142 (08) : 2351 - 2368
  • [9] ROBUST M-ESTIMATORS ON SPHERES
    KO, DJ
    CHANG, T
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1993, 45 (01) : 104 - 136
  • [10] Best monotone M-estimators
    Kolkiewicz, AW
    [J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2003, 31 (03): : 329 - 347