Description Usage Arguments Value Note Author(s) References
View source: R/minimalIntervals.r
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.
1 | minimalIntervals(ints)
|
ints |
Either one of the sets \mathcal{D}^+ or \mathcal{D}^- as output by one of the functions
|
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,
http://www.kasparrufibach.ch
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. (2010). A general criterion for multiscale inference. J. Comput. Graph. Statist., 19, 175–190.
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