minimalIntervals {modehunt} | R Documentation |
In general, all intervals that have a test statistic bigger than the respective critical value are output. For a given set of intervals mathcal{K}, all intervals J such that mathcal{K} does not contain a proper subset of J are called minimal. Given mathcal{K}, this function computes the set of minimal intervals.
minimalIntervals(ints)
ints |
Either one of the sets mathcal{D}^+ or mathcal{D}^- as output by one of the functions
modeHunting , modeHuntingApprox , or modeHuntingBlock . |
Returns the set of minimal elements bf{D}^pm, corresponding to the set of input intervals mathcal{D}^pm.
Depending on the value of min.int, this function is called by modeHunting
,
modeHuntingApprox
, and modeHuntingBlock
.
Kaspar Rufibach, kaspar.rufibach@gmail.com
Guenther Walther, gwalther@stanford.edu,
www-stat.stanford.edu/~gwalther
Minimal intervals were first introduced (although for a different multiscale procedure) on p. 517 in
Lutz Dümbgen (2002). Application of Local Rank Tests to Nonparametric Regression. Journal of Nonparametric Statistics, 14, 511–537.
Rufibach, K. and Walther, G. (2007). A general criterion for multiscale inference. Preprint, Department of Statistics, Stanford University.