poisson_CV: Compute the critical value for the Poisson KBQD tests for...

In QuadratiK: Collection of Methods Constructed using Kernel-Based Quadratic Distances

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

QuadratiK documentation built on Oct. 29, 2024, 5:08 p.m.