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/* * Licensed to the Apache Software Foundation (ASF) under one or more * contributor license agreements. See the NOTICE file distributed with * this work for additional information regarding copyright ownership. * The ASF licenses this file to You under the Apache License, Version 2.0 * (the "License"); you may not use this file except in compliance with * the License. You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ package org.apache.commons.math3.distribution; import org.apache.commons.math3.exception.NotStrictlyPositiveException; /** * Base interface for multivariate distributions on the reals. * * This is based largely on the RealDistribution interface, but cumulative * distribution functions are not required because they are often quite * difficult to compute for multivariate distributions. * * @version $Id: MultivariateRealDistribution.java 1416643 2012-12-03 19:37:14Z tn $ * @since 3.1 */ public interface MultivariateRealDistribution { /** * Returns the probability density function (PDF) of this distribution * evaluated at the specified point {@code x}. In general, the PDF is the * derivative of the cumulative distribution function. If the derivative * does not exist at {@code x}, then an appropriate replacement should be * returned, e.g. {@code Double.POSITIVE_INFINITY}, {@code Double.NaN}, or * the limit inferior or limit superior of the difference quotient. * * @param x Point at which the PDF is evaluated. * @return the value of the probability density function at point {@code x}. */ double density(double[] x); /** * Reseeds the random generator used to generate samples. * * @param seed Seed with which to initialize the random number generator. */ void reseedRandomGenerator(long seed); /** * Gets the number of random variables of the distribution. * It is the size of the array returned by the {@link #sample() sample} * method. * * @return the number of variables. */ int getDimension(); /** * Generates a random value vector sampled from this distribution. * * @return a random value vector. */ double[] sample(); /** * Generates a list of a random value vectors from the distribution. * * @param sampleSize the number of random vectors to generate. * @return an array representing the random samples. * @throws org.apache.commons.math3.exception.NotStrictlyPositiveException * if {@code sampleSize} is not positive. * * @see #sample() */ double[][] sample(int sampleSize) throws NotStrictlyPositiveException; }