Weighted empirical likelihood inference for dynamical correlations

被引:10
作者
Sang, Peijun [1 ]
Wang, Liangliang [1 ]
Cao, Jiguo [1 ]
机构
[1] Simon Fraser Univ, Dept Stat & Actuarial Sci, Burnaby, BC V5A 1S6, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Bootstrap; Empirical likelihood; Functional data analysis; PM2.5; ASSOCIATIONS; MORTALITY; AMBIENT; NO2;
D O I
10.1016/j.csda.2018.07.003
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A novel approach is proposed based on the weighted empirical likelihood to construct confidence intervals for dynamical correlation of random functions. The properties of the proposed confidence interval are investigated for random functions with regular or irregular observations. It is shown that the confidence interval using our new approach has a more accurate coverage probability than that using the traditional bootstrap method for random functions with irregular observations. Furthermore, simulation studies demonstrate that the new approach is considerably more efficient in computation than the bootstrap method. The new approach is illustrated with three applications. The first application investigates the dynamical correlation of air pollutants. The second application studies the dynamical correlation of EEG signals in different regions of the brain in response to some stimuli. The third application estimates the dynamical correlation of gene expressions during the activation of T-cells. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:194 / 206
页数:13
相关论文
共 33 条
[1]  
[Anonymous], 2012, Inference for functional data with applications
[2]  
[Anonymous], 2002, Applied functional data analysis: methods and case studies
[3]  
[Anonymous], 2011, Recent Advances in Functional Data Analysis and Related Topics
[4]   Epidemiological time series studies of PM2.5 and daily mortality and hospital admissions: a systematic review and meta-analysis [J].
Atkinson, R. W. ;
Kang, S. ;
Anderson, H. R. ;
Mills, I. C. ;
Walton, H. A. .
THORAX, 2014, 69 (07) :660-665
[5]   Bayesian hierarchical spatially correlated functional data analysis with application to colon carcinogenesis [J].
Baladandayuthapani, Veerabhadran ;
Mallick, Bani K. ;
Hong, Mee Young ;
Lupton, Joanne R. ;
Turner, Nancy D. ;
Carroll, Raymond J. .
BIOMETRICS, 2008, 64 (01) :64-73
[6]   CD8+ T Cells Are Activated in an Antigen-Independent Manner in HIV-Infected Individuals [J].
Bastidas, Sonia ;
Graw, Frederik ;
Smith, Miranda Z. ;
Kuster, Herbert ;
Guenthard, Huldrych F. ;
Oxenius, Annette .
JOURNAL OF IMMUNOLOGY, 2014, 192 (04) :1732-1744
[7]   The Steubenville Comprehensive Air Monitoring Program (SCAMP): Associations among fine particulate matter, co-pollutants, and meteorological conditions [J].
Connell, DP ;
Withum, JA ;
Winter, SE ;
Statnick, RM ;
Bilonick, RA .
JOURNAL OF THE AIR & WASTE MANAGEMENT ASSOCIATION, 2005, 55 (04) :481-496
[8]   Ambient PM2.5, O3, and NO2 Exposures and Associations with Mortality over 16 Years of Follow-Up in the Canadian Census Health and Environment Cohort (CanCHEC) [J].
Crouse, Dan L. ;
Peters, Paul A. ;
Hystad, Perry ;
Brook, Jeffrey R. ;
van Donkelaar, Aaron ;
Martin, Randall V. ;
Villeneuve, Paul J. ;
Jerrett, Michael ;
Goldberg, Mark S. ;
Pope, C. Arden, III ;
Brauer, Michael ;
Brook, Robert D. ;
Robichaud, Alain ;
Menard, Richard ;
Burnett, Richard T. .
ENVIRONMENTAL HEALTH PERSPECTIVES, 2015, 123 (11) :1180-1186
[9]  
Dubin J., 2017, DYNCORR DYNAMIC CORR
[10]   Dynamical correlation for multivariate longitudinal data [J].
Dubin, JA ;
Müller, HG .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2005, 100 (471) :872-881