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% File src/library/stats/man/kernel.Rd
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% File src/library/stats/man/kernel.Rd
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% Part of the R package, https://www.R-project.org
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% Part of the R package, https://www.R-project.org
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% Copyright 1995-2024 R Core Team
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% Copyright 1995-2025 R Core Team
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% Distributed under GPL 2 or later
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% Distributed under GPL 2 or later
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\name{kernel}
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\name{kernel}
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\alias{kernel}
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\alias{kernel}
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\alias{bandwidth.kernel}
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\alias{bandwidth.kernel}
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  with indices in \code{(-m) : m}.  The normalization is such that for
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  with indices in \code{(-m) : m}.  The normalization is such that for
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  \code{k <- kernel(*)}, \code{sum(k[ -k$m : k$m ])} is one.
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  \code{k <- kernel(*)}, \code{sum(k[ -k$m : k$m ])} is one.
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  \code{df.kernel} returns the \sQuote{equivalent degrees of freedom} of
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  \code{df.kernel} returns the \sQuote{equivalent degrees of freedom} of
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  a smoothing kernel as defined in
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  a smoothing kernel as defined in
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  \bibcite{Brockwell and Davis (1991), page 362},
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  \bibcitet{|R:Brockwell+Davis:1991|page 362},
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  and \code{bandwidth.kernel} returns the equivalent bandwidth as
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  and \code{bandwidth.kernel} returns the equivalent bandwidth as
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  defined in \bibcite{Bloomfield (1976), p.\sspace{}201},
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  defined in \bibcitet{|R:Bloomfield:1976|page 201},
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  with a continuity correction.
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  with a continuity correction.
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}
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}
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\value{
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\value{
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  \code{kernel()} returns an object of class \code{"tskernel"} which is
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  \code{kernel()} returns an object of class \code{"tskernel"} which is
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  basically a list with the two components \code{coef} and the kernel
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  basically a list with the two components \code{coef} and the kernel
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\author{A. Trapletti; modifications by B.D. Ripley}
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\author{A. Trapletti; modifications by B.D. Ripley}
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\seealso{
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\seealso{
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    \code{\link{kernapply}}
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    \code{\link{kernapply}}
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}
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}
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\references{
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\references{
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  Bloomfield, P. (1976)
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  \emph{Fourier Analysis of Time Series: An Introduction.}
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  Wiley.
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  \bibshow{*}
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  Brockwell, P.J. and Davis, R.A. (1991)
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  \emph{Time Series: Theory and Methods.}
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  Second edition. Springer, pp.\sspace{}350--365.
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}
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}
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\examples{
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\examples{
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require(graphics)
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require(graphics)
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## Demonstrate a simple trading strategy for the
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## Demonstrate a simple trading strategy for the