Confidence interval construction in massive data sets

被引：0
|
作者：
Song, Kai [1 ,2 ]
Xie, Xiaoyue [3 ]
Shi, Jian [1 ,4 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
[2] Beijing Inst Technol, Sch Management & Econ, Beijing, Peoples R China
[3] Air Force Engn Univ, Equipment Management & UAV Engn Coll, Xian, Peoples R China
[4] Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2024年 / 53卷 / 03期
关键词：
Confidence interval; coverage and length; divide and conquer; hypothesis testing; massive data; optimal local power;
D O I：
10.1080/03610926.2022.2100420
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 treats the problem of constructing confidence interval with massive data. Two methods using the divide and conquer strategy are proposed. The corresponding hypothesis testing problem is also developed. Theoretical and numerical results are presented to illustrate their effectiveness.
引用
收藏
页码：1035 / 1048
页数：14
相关论文
共 50 条
  • [21] Construction of Confidence Absorbing Sets Using Statistical Methods
    Kibzun, A. I.
    Ivanov, S. V.
    [J]. AUTOMATION AND REMOTE CONTROL, 2020, 81 (12) : 2206 - 2219
  • [22] Construction of Confidence Absorbing Sets Using Statistical Methods
    A.I. Kibzun
    S.V. Ivanov
    [J]. Automation and Remote Control, 2020, 81 : 2206 - 2219
  • [23] Construction and Visualization of Confidence Sets for Frequentist Distributional Forecasts
    Harris, David
    Martin, Gael M.
    Perera, Indeewara
    Poskitt, D. S.
    [J]. JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2019, 28 (01) : 92 - 104
  • [24] Patch clustering for massive data sets
    Alex, Nikolai
    Hasenfuss, Alexander
    Hammer, Barbara
    [J]. NEUROCOMPUTING, 2009, 72 (7-9) : 1455 - 1469
  • [25] Statistical inference in massive data sets
    Li, Runze
    Lin, Dennis K. J.
    Li, Bing
    [J]. APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 2013, 29 (05) : 399 - 409
  • [26] Big data sets in construction
    Kagan, Pavel
    [J]. INTERNATIONAL SCIENCE CONFERENCE SPBWOSCE-2018: BUSINESS TECHNOLOGIES FOR SUSTAINABLE URBAN DEVELOPMENT, 2019, 110
  • [27] Approximation of Confidence Sets for Output Error Systems Using Interval Analysis
    Kolumban, Sandor
    Vajk, Istvan
    Schoukens, Johan
    [J]. CONTROL ENGINEERING AND APPLIED INFORMATICS, 2012, 14 (02): : 73 - 79
  • [28] Massive data sets, data mining, and decision support
    Dalal, S
    Dumais, S
    Kettenring, J
    Kurien, V
    McIntosh, A
    Maitra, R
    [J]. MINING AND MODELING MASSIVE DATA SETS IN SCIENCE, ENGINEERING, AND BUSINESS WITH A SUBTHEME IN ENVIRONMENTAL STATISTICS, 1997, 29 (01): : 329 - 329
  • [29] A METHOD OF CONFIDENCE-INTERVAL CONSTRUCTION FOR SIMULATION OUTPUT ANALYSIS
    CHOOBINEH, F
    BALLARD, JL
    [J]. OPERATIONS RESEARCH LETTERS, 1989, 8 (05) : 265 - 270
  • [30] A Simple Correlation Adjustment Procedure Applied to Confidence Interval Construction
    Andersson, Per Gosta
    [J]. AMERICAN STATISTICIAN, 2009, 63 (03): : 258 - 262
12345