poisson_CV {QuadratiK} | R Documentation |
Compute the critical value for the Poisson KBQD tests for Uniformity
Description
This function computes the empirical critical value for the U-statistics for testing uniformity on the sphere based on the centered poisson kernel.
Usage
poisson_CV(d, size, rho, B, Quantile)
Arguments
d |
the dimension of generated samples. |
size |
the number of observations to be generated. |
rho |
the concentration parameter for the Poisson kernel. |
B |
the number of replications. |
Quantile |
the quantile of the distribution use to select the critical value. |
Details
For each replication, a sample of d-dimensional observations from the uniform
#' distribution on the Sphere are generated and the Poisson kernel-based
U-statistic is computed. After B iterations, the critical value is selected
as the Quantile
of the empirical distribution of the computed test
statistics.
Value
the critical value for the specified dimension, size and level.
References
Ding Yuxin, Markatou Marianthi, Saraceno Giovanni (2023). “Poisson Kernel-Based Tests for Uniformity on the d-Dimensional Sphere.” Statistica Sinica. doi: doi:10.5705/ss.202022.0347