View source: R/sphere.boot.bw.R
sphere.boot.bw | R Documentation |
This function provides the specific smoothing parameter for spherical HDRs estimation proposed in Saavedra-Nieves and Crujeiras (2021).
sphere.boot.bw(sample,bw="none",tau=0.5,ngrid=500, B=50,nborder=500,upper=NULL)
sample |
A matrix whose rows represent points on the unit sphere in Cartesian coordinates. If a row norm is different from one, a message appears indicating that they must be standardized. |
bw |
Pilot smoothing parameter to be used. According to |
tau |
Numeric probability. According to Saavedra-Nieves and Crujeiras (2021), |
ngrid |
Resolution of the density calculation. Default |
B |
Integer string indicating the number of bootstrap resamples. Default |
nborder |
Maximum number of HDRs boundary points to be represented. Default |
upper |
Numerical upper value for bounding the optimization procedure. Default |
Saavedra-Nieves and Crujeiras (2021) propose a specific smoothing parameter for HDRs estimation based on the minimization of the Hausdorff distance between the boundaries of the theoretical HDR and the plug-in estimator.
A numeric value corresponding to the selected smoothing parameter.
Paula Saavedra-Nieves and Rosa M. Crujeiras.
García-Portugués, E. (2013). Exact risk improvement of bandwidth selectors for kernel density
estimation with directional data. Electronic Journal of Statistics, 7, 1655-1685.
Saavedra-Nieves, P. and Crujeiras, R. M. (2021). Nonparametric estimation of directional highest density regions. Advances in Data Analysis and Classification, 1-36.
# HDR selector from a sample of size 1000 of model 4 in library HDiR set.seed(1) sample=rspheremix(500,model=4) sphere.boot.bw(sample,tau=0.8,B=2)
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