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 | } |