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authorAndrej Shadura <andrewsh@debian.org>2019-03-09 22:30:41 +0000
committerAndrej Shadura <andrewsh@debian.org>2019-03-09 22:30:41 +0000
commit38212b3127e90751fb39cda34250bc11be62b76c (patch)
treedc1397346030e9695bd763dddc93b3be527cd643 /elki/src/main/java/de/lmu/ifi/dbs/elki/math/statistics/distribution/ExponentialDistribution.java
parent337087b668d3a54f3afee3a9adb597a32e9f7e94 (diff)
Import Upstream version 0.7.0
Diffstat (limited to 'elki/src/main/java/de/lmu/ifi/dbs/elki/math/statistics/distribution/ExponentialDistribution.java')
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diff --git a/elki/src/main/java/de/lmu/ifi/dbs/elki/math/statistics/distribution/ExponentialDistribution.java b/elki/src/main/java/de/lmu/ifi/dbs/elki/math/statistics/distribution/ExponentialDistribution.java
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+package de.lmu.ifi.dbs.elki.math.statistics.distribution;
+
+/*
+ This file is part of ELKI:
+ Environment for Developing KDD-Applications Supported by Index-Structures
+
+ Copyright (C) 2015
+ 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 java.util.Random;
+
+import de.lmu.ifi.dbs.elki.math.random.RandomFactory;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.OptionID;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.parameterization.Parameterization;
+import de.lmu.ifi.dbs.elki.utilities.optionhandling.parameters.DoubleParameter;
+
+/**
+ * Exponential distribution.
+ *
+ * @author Erich Schubert
+ */
+public class ExponentialDistribution extends AbstractDistribution {
+ /**
+ * Rate, inverse of mean
+ */
+ double rate;
+
+ /**
+ * Location parameter.
+ */
+ double location;
+
+ /**
+ * Constructor.
+ *
+ * @param rate Rate parameter (1/scale)
+ */
+ public ExponentialDistribution(double rate) {
+ this(rate, 0.0, (Random) null);
+ }
+
+ /**
+ * Constructor.
+ *
+ * @param rate Rate parameter (1/scale)
+ * @param location Location parameter
+ */
+ public ExponentialDistribution(double rate, double location) {
+ this(rate, location, (Random) null);
+ }
+
+ /**
+ * Constructor.
+ *
+ * @param rate Rate parameter (1/scale)
+ * @param random Random generator
+ */
+ public ExponentialDistribution(double rate, Random random) {
+ this(rate, 0.0, random);
+ }
+
+ /**
+ * Constructor.
+ *
+ * @param rate Rate parameter (1/scale)
+ * @param location Location parameter
+ * @param random Random generator
+ */
+ public ExponentialDistribution(double rate, double location, Random random) {
+ super(random);
+ this.rate = rate;
+ this.location = location;
+ }
+
+ /**
+ * Constructor.
+ *
+ * @param rate Rate parameter (1/scale)
+ * @param location Location parameter
+ * @param random Random generator
+ */
+ public ExponentialDistribution(double rate, double location, RandomFactory random) {
+ super(random);
+ this.rate = rate;
+ this.location = location;
+ }
+
+ @Override
+ public double pdf(double val) {
+ if (val < location) {
+ return 0.;
+ }
+ return rate * Math.exp(-rate * (val - location));
+ }
+
+ /**
+ * PDF, static version
+ *
+ * @param val Value to compute PDF at
+ * @param rate Rate parameter (1/scale)
+ * @return probability density
+ */
+ public static double pdf(double val, double rate) {
+ if (val < 0.) {
+ return 0.;
+ }
+ return rate * Math.exp(-rate * val);
+ }
+
+ @Override
+ public double cdf(double val) {
+ if (val < location) {
+ return 0.;
+ }
+ return 1 - Math.exp(-rate * (val - location));
+ }
+
+ /**
+ * Cumulative density, static version
+ *
+ * @param val Value to compute CDF at
+ * @param rate Rate parameter (1/scale)
+ * @return cumulative density
+ */
+ public static double cdf(double val, double rate) {
+ if (val < 0.) {
+ return 0.;
+ }
+ return 1 - Math.exp(-rate * val);
+ }
+
+ @Override
+ public double quantile(double val) {
+ return -Math.log(1 - val) / rate + location;
+ }
+
+ /**
+ * Quantile function, static version
+ *
+ * @param val Value to compute quantile for
+ * @param rate Rate parameter
+ * @return Quantile
+ */
+ public static double quantile(double val, double rate) {
+ return -Math.log(1 - val) / rate;
+ }
+
+ /**
+ * This method currently uses the naive approach of returning
+ * <code>-log(uniform)</code>.
+ *
+ * TODO: there are variants that do not rely on the log method and are faster.
+ * We need to implement and evaluate these. For details: see
+ * "Computer methods for sampling from the exponential and normal distributions"
+ * J. H. Ahrens, U. Dieter, https://dl.acm.org/citation.cfm?id=361593
+ */
+ @Override
+ public double nextRandom() {
+ return -Math.log(random.nextDouble()) / rate + location;
+ }
+
+ @Override
+ public String toString() {
+ return "ExponentialDistribution(rate=" + rate + ", location=" + location + ")";
+ }
+
+ /**
+ * Parameterization class
+ *
+ * @author Erich Schubert
+ *
+ * @apiviz.exclude
+ */
+ public static class Parameterizer extends AbstractDistribution.Parameterizer {
+ /**
+ * Shape parameter gamma.
+ */
+ public static final OptionID RATE_ID = new OptionID("distribution.exponential.rate", "Exponential distribution rate (lambda) parameter (inverse of scale).");
+
+ /** Parameters. */
+ double location, rate;
+
+ @Override
+ protected void makeOptions(Parameterization config) {
+ super.makeOptions(config);
+
+ DoubleParameter locP = new DoubleParameter(LOCATION_ID);
+ if (config.grab(locP)) {
+ location = locP.doubleValue();
+ }
+
+ DoubleParameter rateP = new DoubleParameter(RATE_ID);
+ if (config.grab(rateP)) {
+ rate = rateP.doubleValue();
+ }
+ }
+
+ @Override
+ protected ExponentialDistribution makeInstance() {
+ return new ExponentialDistribution(rate, location, rnd);
+ }
+ }
+} \ No newline at end of file