Simultaneous confidence intervals based on the percentile bootstrap approach

被引:44
|
作者
Mandel, Micha [1 ]
Betensky, Rebecca A. [2 ]
机构
[1] Hebrew Univ Jerusalem, Dept Stat, IL-91905 Jerusalem, Israel
[2] Harvard Univ, Sch Publ Hlth, Cambridge, MA 02138 USA
关键词
Bonferroni; confidence region; discrete survival curve; multiple sclerosis; normal bound;
D O I
10.1016/j.csda.2007.07.005
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This note concerns the construction of bootstrap simultaneous confidence intervals (SCI) for m parameters. Given B bootstrap samples, we suggest an algorithm with complexity of O(mB log(B)). We apply our algorithm to construct a confidence region for time dependent probabilities of progression in multiple sclerosis and for coefficients in a logistic regression analysis. Alternative normal based simultaneous confidence intervals are presented and compared to the bootstrap intervals. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:2158 / 2165
页数:8
相关论文
共 50 条
  • [21] BOOTSTRAP CONFIDENCE-INTERVALS AND BOOTSTRAP APPROXIMATIONS
    DICICCIO, T
    TIBSHIRANI, R
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1987, 82 (397) : 163 - 170
  • [22] ON THE BOOTSTRAP AND CONFIDENCE-INTERVALS
    HALL, P
    [J]. ANNALS OF STATISTICS, 1986, 14 (04): : 1431 - 1452
  • [23] Good-bootstrap: simultaneous confidence intervals for large alphabet distributions
    Marton, Daniel
    Painsky, Amichai
    [J]. JOURNAL OF NONPARAMETRIC STATISTICS, 2024,
  • [24] Bootstrap confidence intervals in multi-level simultaneous component analysis
    Timmerman, Marieke E.
    Kiers, Henk A. L.
    Smilde, Age K.
    Ceulemans, Eva
    Stouten, Jeroen
    [J]. BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY, 2009, 62 : 299 - 318
  • [25] Bootstrap confidence intervals in DirectLiNGAM
    Thamvitayakul, Kittitat
    Shimizu, Shohei
    Ueno, Tsuyoshi
    Washio, Takashi
    Tashiro, Tatsuya
    [J]. 12TH IEEE INTERNATIONAL CONFERENCE ON DATA MINING WORKSHOPS (ICDMW 2012), 2012, : 659 - 668
  • [26] Bootstrap confidence intervals - Comment
    Hall, P
    Martin, MA
    [J]. STATISTICAL SCIENCE, 1996, 11 (03) : 212 - 228
  • [27] Nonparametric confidence intervals based on extreme bootstrap percentiles
    Lee, SMS
    [J]. STATISTICA SINICA, 2000, 10 (02) : 475 - 496
  • [28] Estimating confidence intervals for cerebral autoregulation: a parametric bootstrap approach
    Bryant, Jack E. D.
    Birch, Anthony A.
    Panerai, Ronney B.
    Nikolic, Dragana
    Bulters, Diederik
    Simpson, David M.
    [J]. PHYSIOLOGICAL MEASUREMENT, 2021, 42 (10)
  • [29] ON SYMMETRIC BOOTSTRAP CONFIDENCE-INTERVALS
    HALL, P
    [J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1988, 50 (01): : 35 - 45
  • [30] Bootstrap Confidence Intervals for Noise Indicators
    Stepien, Bartlomiej
    [J]. ACTA ACUSTICA UNITED WITH ACUSTICA, 2016, 102 (02) : 389 - 397