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package de.lmu.ifi.dbs.elki.math.statistics.distribution.estimator;
/*
This file is part of ELKI:
Environment for Developing KDD-Applications Supported by Index-Structures
Copyright (C) 2013
Ludwig-Maximilians-Universität München
Lehr- und Forschungseinheit für Datenbanksysteme
ELKI Development Team
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU Affero General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Affero General Public License for more details.
You should have received a copy of the GNU Affero General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
import de.lmu.ifi.dbs.elki.math.statistics.distribution.RayleighDistribution;
import de.lmu.ifi.dbs.elki.utilities.documentation.Reference;
import de.lmu.ifi.dbs.elki.utilities.optionhandling.AbstractParameterizer;
/**
* Estimate the parameters of a RayleighDistribution using the MAD.
*
* Reference:
* <p>
* D. J. Olive<br />
* Applied Robust Statistics<br />
* Preprint of an upcoming book, University of Minnesota
* </p>
*
* @author Erich Schubert
*
* @apiviz.has RayleighDistribution - - estimates
*/
@Reference(title = "Applied Robust Statistics", authors = "D. J. Olive", booktitle = "Applied Robust Statistics", url = "http://lagrange.math.siu.edu/Olive/preprints.htm")
public class RayleighMADEstimator extends AbstractMADEstimator<RayleighDistribution> {
/**
* Static instance.
*/
public static final RayleighMADEstimator STATIC = new RayleighMADEstimator();
/**
* Constructor. Private: use static instance!
*/
private RayleighMADEstimator() {
super();
}
/**
* See reference for the derivation of this constants.
*/
private static final double F1 = 1. / 0.448453, F2 = 1.17741 * F1;
@Override
public RayleighDistribution estimateFromMedianMAD(double median, double mad) {
return new RayleighDistribution(median - F2 * mad, F1 * mad);
}
@Override
public Class<? super RayleighDistribution> getDistributionClass() {
return RayleighDistribution.class;
}
@Override
public String toString() {
return this.getClass().getSimpleName();
}
/**
* Parameterization class.
*
* @author Erich Schubert
*
* @apiviz.exclude
*/
public static class Parameterizer extends AbstractParameterizer {
@Override
protected RayleighMADEstimator makeInstance() {
return STATIC;
}
}
}
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