By the same authors

From the same journal

Uniform Consistency for Nonparametric Estimators in Null Recurrent Time Series

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Published copy (DOI)


  • Jiti Gao
  • Shin Kanaya
  • Degui Li
  • Dag Tjostheim


Publication details

JournalEconometric Theory
DateE-pub ahead of print - 3 Nov 2014
DatePublished (current) - 2015
Issue number5
Number of pages42
Pages (from-to)911-952
Early online date3/11/14
Original languageEnglish


This paper establishes uniform consistency results for nonparametric kernel density and regression estimators when time series regressors concerned are nonstationary null recurrent Markov chains. Under suitable regularity conditions, we derive uniform convergence rates of the estimators. Our results can be viewed as a nonstationary extension of some well-known uniform consistency results for stationary time series.

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