The asymptotic distribution of the maximum likelihood estimator for a vector time series model with long memory dependence

S. Sethuraman, I. V. Basawa

Research output: Contribution to journalArticle

3 Scopus citations


A vector time series model with long-memory dependence is introduced. It is assumed that, at each time point, the observations are equi-correlated. The model is based on a fractionally differenced autoregressive process (long-memory) adjoined to a Gaussian sequence with constant autocorrelation. The maximum likelihood estimators for the parameters in the model are derived and their asymptotic distributions are obtained.

Original languageEnglish (US)
Pages (from-to)285-293
Number of pages9
JournalStatistics and Probability Letters
Issue number4
Publication statusPublished - Feb 1 1997
Externally publishedYes



  • Asymptotic inference
  • Long-memory dependence
  • Maximum likelihood estimation
  • Time series

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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