001 /*
002 * Licensed to the Apache Software Foundation (ASF) under one or more
003 * contributor license agreements. See the NOTICE file distributed with
004 * this work for additional information regarding copyright ownership.
005 * The ASF licenses this file to You under the Apache License, Version 2.0
006 * (the "License"); you may not use this file except in compliance with
007 * the License. You may obtain a copy of the License at
008 *
009 * http://www.apache.org/licenses/LICENSE-2.0
010 *
011 * Unless required by applicable law or agreed to in writing, software
012 * distributed under the License is distributed on an "AS IS" BASIS,
013 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
014 * See the License for the specific language governing permissions and
015 * limitations under the License.
016 */
017 package org.apache.commons.math.distribution;
018
019 import java.io.Serializable;
020
021 import org.apache.commons.math.MathException;
022
023 /**
024 * Base class for probability distributions.
025 *
026 * @version $Revision: 670469 $ $Date: 2008-06-23 10:01:38 +0200 (lun, 23 jun 2008) $
027 */
028 public abstract class AbstractDistribution
029 implements Distribution, Serializable {
030
031 /** Serializable version identifier */
032 private static final long serialVersionUID = -38038050983108802L;
033
034 /**
035 * Default constructor.
036 */
037 protected AbstractDistribution() {
038 super();
039 }
040
041 /**
042 * For a random variable X whose values are distributed according
043 * to this distribution, this method returns P(x0 ≤ X ≤ x1).
044 * <p>
045 * The default implementation uses the identity</p>
046 * <p>
047 * P(x0 ≤ X ≤ x1) = P(X ≤ x1) - P(X ≤ x0) </p>
048 *
049 * @param x0 the (inclusive) lower bound
050 * @param x1 the (inclusive) upper bound
051 * @return the probability that a random variable with this distribution
052 * will take a value between <code>x0</code> and <code>x1</code>,
053 * including the endpoints.
054 * @throws MathException if the cumulative probability can not be
055 * computed due to convergence or other numerical errors.
056 * @throws IllegalArgumentException if <code>x0 > x1</code>
057 */
058 public double cumulativeProbability(double x0, double x1)
059 throws MathException {
060 if (x0 > x1) {
061 throw new IllegalArgumentException
062 ("lower endpoint must be less than or equal to upper endpoint");
063 }
064 return cumulativeProbability(x1) - cumulativeProbability(x0);
065 }
066 }