scholarly journals Simultaneous quantile inference for non-stationary long-memory time series

Bernoulli ◽  
2018 ◽  
Vol 24 (4A) ◽  
pp. 2991-3012 ◽  
Author(s):  
Weichi Wu ◽  
Zhou Zhou
Author(s):  
Jan Beran ◽  
Britta Steffens ◽  
Sucharita Ghosh

AbstractWe consider nonparametric regression for bivariate circular time series with long-range dependence. Asymptotic results for circular Nadaraya–Watson estimators are derived. Due to long-range dependence, a range of asymptotically optimal bandwidths can be found where the asymptotic rate of convergence does not depend on the bandwidth. The result can be used for obtaining simple confidence bands for the regression function. The method is illustrated by an application to wind direction data.


Author(s):  
Jürgen Franke ◽  
Wolfgang Karl Härdle ◽  
Christian Matthias Hafner
Keyword(s):  

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