criticalValuesAll: Compute critical values based on the set of all intervals

In modehunt: Multiscale Analysis for Density Functions

Compute critical values based on the set of all intervals

Description

This function computes critical values that are needed to perform the multiscale analysis about a density using the function modeHunting.

Usage

criticalValuesAll(n, alpha, M, display, path)

Arguments

n	Number of observations.
alpha	Significance level, real number in (0,1).
M	Number of runs to perform.
display	If display == 1, every 100–th step is indicated in the output window, else not.
path	If path != NA, the current number of performed simulations is saved in this location.

Details

For more details see the function modeHunting and the data set cvModeAll.

Value

A 2-dimensional vector containing the critical value for the test statistic with or without additive correction \Gamma.

Author(s)

Kaspar Rufibach, [e-mail],
http://www.kasparrufibach.ch

Guenther Walther, [e-mail],
https://gwalther.su.domains/

References

Rufibach, K. and Walther, G. (2010). A general criterion for multiscale inference. J. Comput. Graph. Statist., 19, 175–190.

See Also

The resulting critical values can be used by the function modeHunting. Critical values for some combinations of n and \alpha are available in cvModeAll.

Examples

## compute critical values and compare to those in cvModeAll 
## (to see output in R, press CTRL + W)
cv1 <- criticalValuesAll(n = 200, alpha = 0.05, M = 10 ^ 2, display = 1, path = NA)
data(cvModeAll)
cv2 <- cvModeAll[cvModeAll$alpha == 0.05 & cvModeAll$n == 200, 3:4]
rbind(cv1, cv2)

modehunt documentation built on June 8, 2025, 9:38 p.m.