Empirical likelihood confidence intervals for the mean of a long-range dependent process

Daniel J. Nordman, Philipp Sibbertsen, Soumendra N. Lahiri

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

This paper considers blockwise empirical likelihood for real-valued linear time processes which may exhibit either short- or long-range dependence. Empirical likelihood approaches intended for weakly dependent time series can fail in the presence of strong dependence. However, a modified blockwise method is proposed for confidence interval estimation of the process mean, which is valid for various dependence structures including long-range dependence. The finite-sample performance of the method is evaluated through a simulation study and compared with other confidence interval procedures involving subsampling or normal approximations.

Original languageEnglish
Pages (from-to)576-599
Number of pages24
JournalJournal of Time Series Analysis
Volume28
Issue number4
DOIs
StatePublished - Jul 2007

Keywords

  • Blocking
  • Confidence interval
  • Empirical likelihood
  • FARIMA
  • Long-range dependence

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