User’s Guide : Long-run Covariance Estimation : Kernel Function Properties
  
Kernel Function Properties
 
Truncated uniform
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Bartlett
Bohman
Daniell
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Parzen
Parzen-Riesz
Parzen-Geometric
Parzen-Cauchy
Quadratic Spectral
Tukey-Hamming
Tukey-Hanning
Tukey-Parzen
Notes: is the optimal rate of increase for the LRCOV kernel bandwidth. is the optimal rate of increase for the lag selection parameter in the Newey-West (1987) automatic bandwidth selection procedure. The Truncated uniform kernel does not have theoretically proscribed values for and , but Andrews (1991) reports Monte Carlo simulations that suggest that these values work well. The Daniell kernel value for does not follow from the theory since the kernel does not satisfy the conditions of the optimal bandwidth theorems.