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* Licensed to the Apache Software Foundation (ASF) under one or more
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* contributor license agreements. See the NOTICE file distributed with
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* this work for additional information regarding copyright ownership.
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* The ASF licenses this file to You under the Apache License, Version 2.0
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* (the "License"); you may not use this file except in compliance with
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* the License. You may obtain a copy of the License at
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* http://www.apache.org/licenses/LICENSE-2.0
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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package org.apache.commons.math.distribution;
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* Test cases for BinomialDistribution.
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* Extends IntegerDistributionAbstractTest. See class javadoc for
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* IntegerDistributionAbstractTest for details.
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* @version $Revision: 762087 $ $Date: 2009-04-05 10:20:18 -0400 (Sun, 05 Apr 2009) $
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public class BinomialDistributionTest extends IntegerDistributionAbstractTest {
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* Constructor for BinomialDistributionTest.
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public BinomialDistributionTest(String name) {
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//-------------- Implementations for abstract methods -----------------------
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/** Creates the default discrete distribution instance to use in tests. */
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public IntegerDistribution makeDistribution() {
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return new BinomialDistributionImpl(10,0.70);
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/** Creates the default probability density test input values */
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public int[] makeDensityTestPoints() {
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return new int[] {-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11};
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/** Creates the default probability density test expected values */
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public double[] makeDensityTestValues() {
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return new double[] {0d, 0.0000d, 0.0001d, 0.0014d, 0.0090d, 0.0368d, 0.1029d,
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0.2001d, 0.2668d, 0.2335d, 0.1211d, 0.0282d, 0d};
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/** Creates the default cumulative probability density test input values */
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public int[] makeCumulativeTestPoints() {
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return makeDensityTestPoints();
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/** Creates the default cumulative probability density test expected values */
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public double[] makeCumulativeTestValues() {
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return new double[] {0d, 0.0000d, 0.0001d, 0.0016d, 0.0106d, 0.0473d,
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0.1503d, 0.3504d, 0.6172d, 0.8507d, 0.9718d, 1d, 1d};
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/** Creates the default inverse cumulative probability test input values */
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public double[] makeInverseCumulativeTestPoints() {
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return new double[] {0, 0.001d, 0.010d, 0.025d, 0.050d, 0.100d, 0.999d,
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0.990d, 0.975d, 0.950d, 0.900d,1};
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/** Creates the default inverse cumulative probability density test expected values */
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public int[] makeInverseCumulativeTestValues() {
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return new int[] {-1, 1, 2, 3, 4, 4, 9, 9, 9, 8, 8, Integer.MAX_VALUE};
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//----------------- Additional test cases ---------------------------------
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/** Test degenerate case p = 0 */
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public void testDegenerate0() throws Exception {
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setDistribution(new BinomialDistributionImpl(5,0.0d));
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setCumulativeTestPoints(new int[] {-1, 0, 1, 5, 10 });
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setCumulativeTestValues(new double[] {0d, 1d, 1d, 1d, 1d});
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setDensityTestPoints(new int[] {-1, 0, 1, 10, 11});
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setDensityTestValues(new double[] {0d, 1d, 0d, 0d, 0d});
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setInverseCumulativeTestPoints(new double[] {0.1d, 0.5d});
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setInverseCumulativeTestValues(new int[] {-1, -1});
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verifyCumulativeProbabilities();
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verifyInverseCumulativeProbabilities();
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/** Test degenerate case p = 1 */
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public void testDegenerate1() throws Exception {
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setDistribution(new BinomialDistributionImpl(5,1.0d));
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setCumulativeTestPoints(new int[] {-1, 0, 1, 2, 5, 10 });
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setCumulativeTestValues(new double[] {0d, 0d, 0d, 0d, 1d, 1d});
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setDensityTestPoints(new int[] {-1, 0, 1, 2, 5, 10});
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setDensityTestValues(new double[] {0d, 0d, 0d, 0d, 1d, 0d});
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setInverseCumulativeTestPoints(new double[] {0.1d, 0.5d});
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setInverseCumulativeTestValues(new int[] {4, 4});
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verifyCumulativeProbabilities();
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verifyInverseCumulativeProbabilities();