| Classes in this File | Line Coverage | Branch Coverage | Complexity | ||||||||
| FourthMoment |
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| 1.25;1.25 |
| 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.stat.descriptive.moment; |
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| 17 | ||
| 18 | import java.io.Serializable; |
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| 19 | ||
| 20 | /** |
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| 21 | * Computes a statistic related to the Fourth Central Moment. Specifically, |
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| 22 | * what is computed is the sum of |
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| 23 | * <p> |
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| 24 | * (x_i - xbar) ^ 4, |
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| 25 | * <p> |
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| 26 | * where the x_i are the |
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| 27 | * sample observations and xbar is the sample mean. |
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| 28 | * <p> |
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| 29 | * The following recursive updating formula is used: |
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| 30 | * <p> |
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| 31 | * Let <ul> |
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| 32 | * <li> dev = (current obs - previous mean) </li> |
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| 33 | * <li> m2 = previous value of {@link SecondMoment} </li> |
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| 34 | * <li> m2 = previous value of {@link ThirdMoment} </li> |
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| 35 | * <li> n = number of observations (including current obs) </li> |
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| 36 | * </ul> |
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| 37 | * Then |
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| 38 | * <p> |
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| 39 | * new value = old value - 4 * (dev/n) * m3 + 6 * (dev/n)^2 * m2 + <br> |
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| 40 | * [n^2 - 3 * (n-1)] * dev^4 * (n-1) / n^3 |
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| 41 | * <p> |
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| 42 | * Returns <code>Double.NaN</code> if no data values have been added and |
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| 43 | * returns <code>0</code> if there is just one value in the data set. |
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| 44 | * <p> |
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| 45 | * <strong>Note that this implementation is not synchronized.</strong> If |
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| 46 | * multiple threads access an instance of this class concurrently, and at least |
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| 47 | * one of the threads invokes the <code>increment()</code> or |
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| 48 | * <code>clear()</code> method, it must be synchronized externally. |
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| 49 | * |
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| 50 | * @version $Revision$ $Date: 2005-02-26 05:11:52 -0800 (Sat, 26 Feb 2005) $ |
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| 51 | */ |
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| 52 | public class FourthMoment extends ThirdMoment implements Serializable{ |
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| 53 | ||
| 54 | /** Serializable version identifier */ |
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| 55 | static final long serialVersionUID = 4763990447117157611L; |
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| 56 | ||
| 57 | /** fourth moment of values that have been added */ |
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| 58 | protected double m4; |
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| 59 | ||
| 60 | /** |
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| 61 | * Create a FourthMoment instance |
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| 62 | */ |
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| 63 | public FourthMoment() { |
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| 64 | 50 | super(); |
| 65 | 50 | m4 = Double.NaN; |
| 66 | 50 | } |
| 67 | ||
| 68 | /** |
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| 69 | * @see org.apache.commons.math.stat.descriptive.StorelessUnivariateStatistic#increment(double) |
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| 70 | */ |
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| 71 | public void increment(final double d) { |
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| 72 | 482 | if (n < 1) { |
| 73 | 54 | m4 = 0.0; |
| 74 | 54 | m3 = 0.0; |
| 75 | 54 | m2 = 0.0; |
| 76 | 54 | m1 = 0.0; |
| 77 | } |
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| 78 | ||
| 79 | 482 | double prevM3 = m3; |
| 80 | 482 | double prevM2 = m2; |
| 81 | ||
| 82 | 482 | super.increment(d); |
| 83 | ||
| 84 | 482 | double n0 = (double) n; |
| 85 | ||
| 86 | 482 | m4 = m4 - 4.0 * nDev * prevM3 + 6.0 * nDevSq * prevM2 + |
| 87 | ((n0 * n0) - 3 * (n0 -1)) * (nDevSq * nDevSq * (n0 - 1) * n0); |
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| 88 | 482 | } |
| 89 | ||
| 90 | /** |
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| 91 | * @see org.apache.commons.math.stat.descriptive.StorelessUnivariateStatistic#getResult() |
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| 92 | */ |
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| 93 | public double getResult() { |
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| 94 | 104 | return m4; |
| 95 | } |
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| 96 | ||
| 97 | /** |
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| 98 | * @see org.apache.commons.math.stat.descriptive.StorelessUnivariateStatistic#clear() |
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| 99 | */ |
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| 100 | public void clear() { |
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| 101 | 56 | super.clear(); |
| 102 | 56 | m4 = Double.NaN; |
| 103 | 56 | } |
| 104 | ||
| 105 | } |