ON L-ESTIMATORS VIEWED AS M-ESTIMATORS

被引:0
|
作者
SINDELAR, J
机构
关键词
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Arithmetical mean and median usually serve as basic examples of M-estimators ([5]). Both of them are L-estimators. Thus there is a natural question whether there are some other L-estimators which are M-estimators as well. We shall show that, with rare exceptions, this is not the case. More precisely, we shall show that the arithmetical mean and empirical quantiles are the only L-estimators with nonnegative coefficients having a nontrivial psi-function.
引用
收藏
页码:551 / 562
页数:12
相关论文
共 50 条
  • [1] ON THE ASYMPTOTIC RELATION BETWEEN L-ESTIMATORS AND M-ESTIMATORS AND THEIR ASYMPTOTIC EFFICIENCY RELATIVE TO THE CRAMER-RAO LOWER BOUND
    VANEEDEN, C
    [J]. ANNALS OF STATISTICS, 1983, 11 (02): : 674 - 690
  • [2] 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
  • [3] Robust M- and L-Estimators of Scale Parameter
    Szatmari-Voicu, D.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2011, 40 (22) : 4065 - 4077
  • [4] Redescending M-estimators
    Shevlyakov, Georgy
    Morgenthaler, Stephan
    Shurygin, Alexander
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (10) : 2906 - 2917
  • [5] COMPARISON OF EFFICIENT L-ESTIMATORS AND R-ESTIMATORS OF LOCATION
    FRODA, S
    [J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1986, 14 (01): : 75 - 79
  • [6] ON BOOTSTRAPPING M-ESTIMATORS
    LAHIRI, SN
    [J]. SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A, 1992, 54 : 157 - 170
  • [7] Characterizing M-estimators
    Dimitriadis, Timo
    Fissler, Tobias
    Ziegel, Johanna
    [J]. BIOMETRIKA, 2024, 111 (01) : 339 - 346
  • [8] ON INCONSISTENT M-ESTIMATORS
    FREEDMAN, DA
    DIACONIS, P
    [J]. ANNALS OF STATISTICS, 1982, 10 (02): : 454 - 461
  • [9] M-estimators for isotonic regression
    Alvarez, Enrique E.
    Yohai, Victor J.
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2012, 142 (08) : 2351 - 2368
  • [10] Moment convergence of M-estimators
    Nishiyama, Yoichi
    [J]. STATISTICA NEERLANDICA, 2010, 64 (04) : 505 - 507