1. Uniform Consistency for Nonparametric Estimators in Null Recurrent Time Series
- Author
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Degui Li, Jiti Gao, and Dag Tjøstheim
- Subjects
β-null recurrent Markov chain, nonparametric estimation, rate of convergence, uniform consistency ,Markov kernel ,Markov chain ,Series (mathematics) ,Uniform convergence ,Kernel density estimation ,Nonparametric statistics ,beta–null recurrent Markov chain ,nonparametric estimation ,rate of convergence, uniform consistency ,Estimator ,jel:C13 ,jel:C22 ,jel:C14 ,Rate of convergence ,Econometric and statistical methods ,Econometrics ,Applied mathematics ,Econometrics not elsewhere classified ,Mathematics - Abstract
This paper establishes several results for uniform convergence of nonparametric kernel density and regression estimates for the case where the time series regressors concerned are nonstationary null–recurrent Markov chains. Under suitable conditions, certain rates of convergence are also established for these estimates. Our results can be viewed as an extension of some well–known uniform consistency results for the stationary time series to the nonstationary time series case.
- Published
- 2022
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