Consistency of dependent bootstrap estimators

被引:0
|
作者
Smith, WD [1 ]
Taylor, RL [1 ]
机构
[1] US Bur Census, Suitland, MD 20746 USA
关键词
bootstrap estimators; consistency; negative dependence;
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
Consistency of dependent bootstrap estimators is established in this paper. The major tool will be the concept of negative dependence which results from resampling without replacement from an enriched set of sample observations. In particular, strong limit theorems for arrays of rowwise negatively dependent random variables are obtained and used to obtain the consistency for the dependent bootstrap mean, variance and empirical distribution function.
引用
收藏
页码:359 / 382
页数:24
相关论文
共 50 条
  • [1] AVERAGE DENSITY ESTIMATORS: EFFICIENCY AND BOOTSTRAP CONSISTENCY
    Cattaneo, Matias D.
    Jansson, Michael
    [J]. ECONOMETRIC THEORY, 2022, 38 (06) : 1140 - 1174
  • [2] Kernel-Based Semiparametric Estimators: Small Bandwidth Asymptotics and Bootstrap Consistency
    Cattaneo, Matias D.
    Jansson, Michael
    [J]. ECONOMETRICA, 2018, 86 (03) : 955 - 995
  • [3] Bootstrap consistency for the Mack bootstrap
    Steinmetz, Julia
    Jentsch, Carsten
    [J]. INSURANCE MATHEMATICS & ECONOMICS, 2024, 115 : 83 - 121
  • [4] The Consistency for the Estimators of Semiparametric Regression Model with Dependent Samples
    Yi Wu
    Xue-jun Wang
    Ling Chen
    Kun Jiang
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2021, 37 : 299 - 318
  • [5] The Consistency for the Estimators of Semiparametric Regression Model with Dependent Samples
    Yi WU
    Xue-jun WANG
    Ling CHEN
    Kun JIANG
    [J]. Acta Mathematicae Applicatae Sinica, 2021, 37 (02) : 299 - 318
  • [6] The Consistency for the Estimators of Semiparametric Regression Model with Dependent Samples
    Wu, Yi
    Wang, Xue-jun
    Chen, Ling
    Jiang, Kun
    [J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2021, 37 (02): : 299 - 318
  • [7] DOUBLE BOOTSTRAP FOR SHRINKAGE ESTIMATORS
    VINOD, HD
    [J]. JOURNAL OF ECONOMETRICS, 1995, 68 (02) : 287 - 302
  • [8] BOOTSTRAP VARIANCE ESTIMATORS WITH TRUNCATION
    SHAO, J
    [J]. STATISTICS & PROBABILITY LETTERS, 1992, 15 (02) : 95 - 101
  • [9] ON THE INCONSISTENCY OF BOOTSTRAP DISTRIBUTION ESTIMATORS
    HALL, P
    HARDLE, W
    SIMAR, L
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 1993, 16 (01) : 11 - 18
  • [10] On the Failure of the Bootstrap for Matching Estimators
    Abadie, Alberto
    Imbens, Guido W.
    [J]. ECONOMETRICA, 2008, 76 (06) : 1537 - 1557