Averaged singular integral estimation as a bias reduction technique

被引:1
|
作者
Delgado, MA [1 ]
Vidal-Sanz, JM
机构
[1] Univ Carlos III Madrid, Madrid, Spain
[2] London Sch Econ, London, England
关键词
global rates of convergence for the bias; singular integral estimators; bias reduction techniques; generalized jackknife;
D O I
10.1006/jmva.2000.1978
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 proposes an averaged version of singular integral estimators, whose bias achieves higher rates of convergence under smoothing assumptions. We derive exact bias bounds, without imposing smoothing assumptions, which are a basis for deriving the rates of convergence tinder differentiability assumptions. (C) 2001 Elsevier Science.
引用
收藏
页码:127 / 137
页数:11
相关论文
共 50 条
  • [1] BIAS REDUCTION IN ESTIMATION
    SCHUCANY, WR
    GRAY, HL
    OWEN, DB
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1971, 66 (335) : 524 - 533
  • [2] REGULARIZATION TECHNIQUE FOR A CLASS OF SINGULAR INTEGRAL PROBLEMS
    ABDELAL, LF
    DELVES, LM
    JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1976, 18 (01): : 37 - 47
  • [3] Bias reduction for endpoint estimation
    Deyuan Li
    Liang Peng
    Xinping Xu
    Extremes, 2011, 14 : 393 - 412
  • [5] Bias reduction for endpoint estimation
    Li, Deyuan
    Peng, Liang
    Xu, Xinping
    EXTREMES, 2011, 14 (04) : 393 - 412
  • [6] Reduction of singular integral operators with flip and their fredholm property
    Castro L.P.
    Rojas E.M.
    Lobachevskii Journal of Mathematics, 2008, 29 (3) : 119 - 129
  • [7] New technique for solving of electrodynamics singular integral equations
    Petrusenko, I
    MMET'96 - VITH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ELECTROMAGNETIC THEORY, PROCEEDINGS, 1996, : 125 - 127
  • [8] A new sparse technique for singular integral equations in electromagnetics
    Liu, YW
    Mei, KK
    2000 25TH INTERNATIONAL CONFERENCE ON INFRARED AND MILLIMETER WAVES CONFERENCE DIGEST, 2000, : 239 - 240
  • [9] AN ESTIMATION OF THE SINGULAR VALUES OF INTEGRAL OPERATOR WITH LOGARITHMIC KERNEL
    Simic, Suzana
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2006, 21 : 49 - 55
  • [10] BIAS REDUCTION IN PARAMETER-ESTIMATION
    LE, LX
    WILSON, WJ
    AUTOMATICA, 1988, 24 (06) : 825 - 828