| Classes in this File | Line Coverage | Branch Coverage | Complexity | ||||||||
| TDistributionImpl |
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| 2.0;2 |
| 1 | /* |
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| 2 | * Copyright 2003-2004 The Apache Software Foundation. |
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| 3 | * |
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| 4 | * Licensed under the Apache License, Version 2.0 (the "License"); |
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| 5 | * you may not use this file except in compliance with the License. |
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| 6 | * You may obtain a copy of the License at |
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| 7 | * |
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| 8 | * http://www.apache.org/licenses/LICENSE-2.0 |
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| 9 | * |
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| 10 | * Unless required by applicable law or agreed to in writing, software |
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| 11 | * distributed under the License is distributed on an "AS IS" BASIS, |
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| 12 | * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
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| 13 | * See the License for the specific language governing permissions and |
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| 14 | * limitations under the License. |
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| 15 | */ |
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| 16 | package org.apache.commons.math.distribution; |
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| 17 | ||
| 18 | import java.io.Serializable; |
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| 19 | ||
| 20 | import org.apache.commons.math.MathException; |
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| 21 | import org.apache.commons.math.special.Beta; |
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| 22 | ||
| 23 | /** |
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| 24 | * Default implementation of |
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| 25 | * {@link org.apache.commons.math.distribution.TDistribution}. |
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| 26 | * |
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| 27 | * @version $Revision$ $Date: 2005-02-26 05:11:52 -0800 (Sat, 26 Feb 2005) $ |
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| 28 | */ |
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| 29 | public class TDistributionImpl |
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| 30 | extends AbstractContinuousDistribution |
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| 31 | implements TDistribution, Serializable { |
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| 32 | ||
| 33 | /** Serializable version identifier */ |
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| 34 | static final long serialVersionUID = -5852615386664158222L; |
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| 35 | ||
| 36 | /** The degrees of freedom*/ |
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| 37 | private double degreesOfFreedom; |
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| 38 | ||
| 39 | /** |
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| 40 | * Create a t distribution using the given degrees of freedom. |
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| 41 | * @param degreesOfFreedom the degrees of freedom. |
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| 42 | */ |
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| 43 | public TDistributionImpl(double degreesOfFreedom) { |
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| 44 | 178 | super(); |
| 45 | 178 | setDegreesOfFreedom(degreesOfFreedom); |
| 46 | 174 | } |
| 47 | ||
| 48 | /** |
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| 49 | * Modify the degrees of freedom. |
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| 50 | * @param degreesOfFreedom the new degrees of freedom. |
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| 51 | */ |
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| 52 | public void setDegreesOfFreedom(double degreesOfFreedom) { |
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| 53 | 182 | if (degreesOfFreedom <= 0.0) { |
| 54 | 6 | throw new IllegalArgumentException("degrees of freedom must be positive."); |
| 55 | } |
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| 56 | 176 | this.degreesOfFreedom = degreesOfFreedom; |
| 57 | 176 | } |
| 58 | ||
| 59 | /** |
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| 60 | * Access the degrees of freedom. |
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| 61 | * @return the degrees of freedom. |
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| 62 | */ |
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| 63 | public double getDegreesOfFreedom() { |
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| 64 | 12148 | return degreesOfFreedom; |
| 65 | } |
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| 66 | ||
| 67 | /** |
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| 68 | * For this disbution, X, this method returns P(X < <code>x</code>). |
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| 69 | * @param x the value at which the CDF is evaluated. |
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| 70 | * @return CDF evaluted at <code>x</code>. |
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| 71 | * @throws MathException if the cumulative probability can not be |
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| 72 | * computed due to convergence or other numerical errors. |
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| 73 | */ |
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| 74 | public double cumulativeProbability(double x) throws MathException{ |
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| 75 | double ret; |
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| 76 | 4068 | if (x == 0.0) { |
| 77 | 20 | ret = 0.5; |
| 78 | } else { |
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| 79 | 4048 | double t = |
| 80 | Beta.regularizedBeta( |
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| 81 | getDegreesOfFreedom() / (getDegreesOfFreedom() + (x * x)), |
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| 82 | 0.5 * getDegreesOfFreedom(), |
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| 83 | 0.5); |
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| 84 | 4048 | if (x < 0.0) { |
| 85 | 1988 | ret = 0.5 * t; |
| 86 | } else { |
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| 87 | 2060 | ret = 1.0 - 0.5 * t; |
| 88 | } |
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| 89 | } |
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| 90 | ||
| 91 | 4068 | return ret; |
| 92 | } |
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| 93 | ||
| 94 | /** |
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| 95 | * For this distribution, X, this method returns the critical point x, such |
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| 96 | * that P(X < x) = <code>p</code>. |
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| 97 | * <p> |
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| 98 | * Returns <code>Double.NEGATIVE_INFINITY</code> for p=0 and |
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| 99 | * <code>Double.POSITIVE_INFINITY</code> for p=1. |
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| 100 | * |
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| 101 | * @param p the desired probability |
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| 102 | * @return x, such that P(X < x) = <code>p</code> |
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| 103 | * @throws MathException if the inverse cumulative probability can not be |
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| 104 | * computed due to convergence or other numerical errors. |
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| 105 | * @throws IllegalArgumentException if <code>p</code> is not a valid |
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| 106 | * probability. |
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| 107 | */ |
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| 108 | public double inverseCumulativeProbability(final double p) |
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| 109 | throws MathException { |
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| 110 | 60 | if (p == 0) { |
| 111 | 2 | return Double.NEGATIVE_INFINITY; |
| 112 | } |
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| 113 | 58 | if (p == 1) { |
| 114 | 2 | return Double.POSITIVE_INFINITY; |
| 115 | } |
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| 116 | 56 | return super.inverseCumulativeProbability(p); |
| 117 | } |
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| 118 | ||
| 119 | /** |
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| 120 | * Access the domain value lower bound, based on <code>p</code>, used to |
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| 121 | * bracket a CDF root. This method is used by |
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| 122 | * {@link #inverseCumulativeProbability(double)} to find critical values. |
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| 123 | * |
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| 124 | * @param p the desired probability for the critical value |
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| 125 | * @return domain value lower bound, i.e. |
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| 126 | * P(X < <i>lower bound</i>) < <code>p</code> |
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| 127 | */ |
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| 128 | protected double getDomainLowerBound(double p) { |
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| 129 | 52 | return -Double.MAX_VALUE; |
| 130 | } |
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| 131 | ||
| 132 | /** |
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| 133 | * Access the domain value upper bound, based on <code>p</code>, used to |
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| 134 | * bracket a CDF root. This method is used by |
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| 135 | * {@link #inverseCumulativeProbability(double)} to find critical values. |
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| 136 | * |
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| 137 | * @param p the desired probability for the critical value |
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| 138 | * @return domain value upper bound, i.e. |
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| 139 | * P(X < <i>upper bound</i>) > <code>p</code> |
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| 140 | */ |
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| 141 | protected double getDomainUpperBound(double p) { |
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| 142 | 52 | return Double.MAX_VALUE; |
| 143 | } |
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| 144 | ||
| 145 | /** |
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| 146 | * Access the initial domain value, based on <code>p</code>, used to |
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| 147 | * bracket a CDF root. This method is used by |
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| 148 | * {@link #inverseCumulativeProbability(double)} to find critical values. |
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| 149 | * |
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| 150 | * @param p the desired probability for the critical value |
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| 151 | * @return initial domain value |
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| 152 | */ |
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| 153 | protected double getInitialDomain(double p) { |
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| 154 | 52 | return 0.0; |
| 155 | } |
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| 156 | } |