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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.GumbelDistribution;
+import de.lmu.ifi.dbs.elki.utilities.documentation.Reference;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.AbstractParameterizer;
+
+/**
+ * Parameter estimation via median and median absolute deviation from median
+ * (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 GumbelDistribution - - 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 GumbelMADEstimator extends AbstractMADEstimator<GumbelDistribution> {
+ /**
+ * Static instance.
+ */
+ public static final GumbelMADEstimator STATIC = new GumbelMADEstimator();
+
+ /**
+ * Private constructor, use static instance!
+ */
+ private GumbelMADEstimator() {
+ // Do not instantiate
+ }
+
+ @Override
+ public GumbelDistribution estimateFromMedianMAD(double median, double mad) {
+ // TODO: Work around degenerate cases?
+ return new GumbelDistribution(median + 0.4778 * mad, 1.3037 * mad);
+ }
+
+ @Override
+ public Class<? super GumbelDistribution> getDistributionClass() {
+ return GumbelDistribution.class;
+ }
+
+ /**
+ * Parameterization class.
+ *
+ * @author Erich Schubert
+ *
+ * @apiviz.exclude
+ */
+ public static class Parameterizer extends AbstractParameterizer {
+ @Override
+ protected GumbelMADEstimator makeInstance() {
+ return STATIC;
+ }
+ }
+}