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ON SELF‐NORMALIZATION FOR CENSORED DEPENDENT DATA
Author(s) -
Huang Yinxiao,
Volgushev Stanislav,
Shao Xiaofeng
Publication year - 2015
Publication title -
journal of time series analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.576
H-Index - 54
eISSN - 1467-9892
pISSN - 0143-9782
DOI - 10.1111/jtsa.12096
Subject(s) - mathematics , normalization (sociology) , asymptotic distribution , statistics , confidence interval , empirical likelihood , limiting , maximum likelihood , econometrics , range (aeronautics) , delta method , mechanical engineering , materials science , estimator , sociology , anthropology , engineering , composite material
This article is concerned with confidence interval construction for functionals of the survival distribution for censored dependent data. We adopt the recently developed self‐normalization approach (Shao, 2010), which does not involve consistent estimation of the asymptotic variance, as implicitly used in the blockwise empirical likelihood approach of El Ghouch et al . (2011). We also provide a rigorous asymptotic theory to derive the limiting distribution of the self‐normalized quantity for a wide range of parameters. Additionally, finite‐sample properties of the self‐normalization‐based intervals are carefully examined, and a comparison with the empirical likelihood‐based counterparts is made.