Description Usage Arguments Details Value References Examples
View source: R/bandwidth_selection.R
Uses cross-validation to find the optimal bandwidth for a univariate locally Gaussian fit
1 | bw_select_cv_univariate(x, tol = 10^(-3))
|
x |
The vector of data points. |
tol |
The absolute tolerance in the optimization, passed to the
|
This function provides the univariate version of the Cross Validation algorithm for bandwidth selection described in Otneim & Tjøstheim (2017), Section 4. Let \hat{f}_h(x) be the univariate locally Gaussian density estimate obtained using the bandwidth h, then this function returns the bandwidth that maximizes
CV(h) = n^{-1} ∑_{i=1}^n \log \hat{f}_h^{(-i)}(x_i),
where \hat{f}_h^{(-i)} is the density estimate calculated without observation x_i.
The function returns a list with two elements: bw
is the
selected bandwidth, and convergence
is the convergence flag returned
by the optim
-function.
Otneim, Håkon, and Dag Tjøstheim. "The locally gaussian density estimator for multivariate data." Statistics and Computing 27, no. 6 (2017): 1595-1616.
1 2 | x <- rnorm(100)
bw <- bw_select_cv_univariate(x)
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