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author | Raymond <siuchow@google.com> | 2015-04-02 10:43:13 -0700 |
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committer | Raymond <siuchow@google.com> | 2015-04-02 10:43:13 -0700 |
commit | dee0849a9704d532af0b550146cbafbaa6ee1d19 (patch) | |
tree | 8ccce3a046c214fb609977b7fc53c40cef7f9ea5 /src/main/java/org/apache/commons/math/stat/regression/GLSMultipleLinearRegression.java | |
parent | 55b0a5efc929efa9615babd3e760547f94e3518e (diff) | |
download | apache-commons-math-dee0849a9704d532af0b550146cbafbaa6ee1d19.tar.gz |
third party library: apache-commons-mathandroid-cts-6.0_r9android-cts-6.0_r8android-cts-6.0_r7android-cts-6.0_r6android-cts-6.0_r5android-cts-6.0_r4android-cts-6.0_r32android-cts-6.0_r31android-cts-6.0_r30android-cts-6.0_r3android-cts-6.0_r29android-cts-6.0_r28android-cts-6.0_r27android-cts-6.0_r26android-cts-6.0_r25android-cts-6.0_r24android-cts-6.0_r23android-cts-6.0_r22android-cts-6.0_r21android-cts-6.0_r20android-cts-6.0_r2android-cts-6.0_r19android-cts-6.0_r18android-cts-6.0_r17android-cts-6.0_r16android-cts-6.0_r15android-cts-6.0_r14android-cts-6.0_r13android-cts-6.0_r12android-cts-6.0_r1android-6.0.1_r9android-6.0.1_r81android-6.0.1_r80android-6.0.1_r8android-6.0.1_r79android-6.0.1_r78android-6.0.1_r77android-6.0.1_r74android-6.0.1_r73android-6.0.1_r72android-6.0.1_r70android-6.0.1_r7android-6.0.1_r69android-6.0.1_r68android-6.0.1_r67android-6.0.1_r66android-6.0.1_r65android-6.0.1_r63android-6.0.1_r62android-6.0.1_r61android-6.0.1_r60android-6.0.1_r59android-6.0.1_r58android-6.0.1_r57android-6.0.1_r56android-6.0.1_r55android-6.0.1_r54android-6.0.1_r53android-6.0.1_r52android-6.0.1_r51android-6.0.1_r50android-6.0.1_r5android-6.0.1_r49android-6.0.1_r48android-6.0.1_r47android-6.0.1_r46android-6.0.1_r45android-6.0.1_r43android-6.0.1_r42android-6.0.1_r41android-6.0.1_r40android-6.0.1_r4android-6.0.1_r33android-6.0.1_r32android-6.0.1_r31android-6.0.1_r30android-6.0.1_r3android-6.0.1_r28android-6.0.1_r27android-6.0.1_r26android-6.0.1_r25android-6.0.1_r24android-6.0.1_r22android-6.0.1_r21android-6.0.1_r20android-6.0.1_r18android-6.0.1_r17android-6.0.1_r16android-6.0.1_r13android-6.0.1_r12android-6.0.1_r11android-6.0.1_r10android-6.0.1_r1android-6.0.0_r7android-6.0.0_r6android-6.0.0_r5android-6.0.0_r41android-6.0.0_r4android-6.0.0_r3android-6.0.0_r26android-6.0.0_r25android-6.0.0_r24android-6.0.0_r23android-6.0.0_r2android-6.0.0_r13android-6.0.0_r12android-6.0.0_r11android-6.0.0_r1marshmallow-releasemarshmallow-mr3-releasemarshmallow-mr2-releasemarshmallow-mr1-releasemarshmallow-mr1-devmarshmallow-dr1.6-releasemarshmallow-dr1.5-releasemarshmallow-dr1.5-devmarshmallow-dr-releasemarshmallow-dr-dragon-releasemarshmallow-dr-devmarshmallow-devmarshmallow-cts-release
Change-Id: I52a325624a7f0dd652b362a9840626d6d9f3c42b
Diffstat (limited to 'src/main/java/org/apache/commons/math/stat/regression/GLSMultipleLinearRegression.java')
-rw-r--r-- | src/main/java/org/apache/commons/math/stat/regression/GLSMultipleLinearRegression.java | 136 |
1 files changed, 136 insertions, 0 deletions
diff --git a/src/main/java/org/apache/commons/math/stat/regression/GLSMultipleLinearRegression.java b/src/main/java/org/apache/commons/math/stat/regression/GLSMultipleLinearRegression.java new file mode 100644 index 0000000..dc6ef0d --- /dev/null +++ b/src/main/java/org/apache/commons/math/stat/regression/GLSMultipleLinearRegression.java @@ -0,0 +1,136 @@ +/* + * Licensed to the Apache Software Foundation (ASF) under one or more + * contributor license agreements. See the NOTICE file distributed with + * this work for additional information regarding copyright ownership. + * The ASF licenses this file to You under the Apache License, Version 2.0 + * (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ +package org.apache.commons.math.stat.regression; + +import org.apache.commons.math.linear.LUDecompositionImpl; +import org.apache.commons.math.linear.RealMatrix; +import org.apache.commons.math.linear.Array2DRowRealMatrix; +import org.apache.commons.math.linear.RealVector; + +/** + * The GLS implementation of the multiple linear regression. + * + * GLS assumes a general covariance matrix Omega of the error + * <pre> + * u ~ N(0, Omega) + * </pre> + * + * Estimated by GLS, + * <pre> + * b=(X' Omega^-1 X)^-1X'Omega^-1 y + * </pre> + * whose variance is + * <pre> + * Var(b)=(X' Omega^-1 X)^-1 + * </pre> + * @version $Revision: 1073460 $ $Date: 2011-02-22 20:22:39 +0100 (mar. 22 févr. 2011) $ + * @since 2.0 + */ +public class GLSMultipleLinearRegression extends AbstractMultipleLinearRegression { + + /** Covariance matrix. */ + private RealMatrix Omega; + + /** Inverse of covariance matrix. */ + private RealMatrix OmegaInverse; + + /** Replace sample data, overriding any previous sample. + * @param y y values of the sample + * @param x x values of the sample + * @param covariance array representing the covariance matrix + */ + public void newSampleData(double[] y, double[][] x, double[][] covariance) { + validateSampleData(x, y); + newYSampleData(y); + newXSampleData(x); + validateCovarianceData(x, covariance); + newCovarianceData(covariance); + } + + /** + * Add the covariance data. + * + * @param omega the [n,n] array representing the covariance + */ + protected void newCovarianceData(double[][] omega){ + this.Omega = new Array2DRowRealMatrix(omega); + this.OmegaInverse = null; + } + + /** + * Get the inverse of the covariance. + * <p>The inverse of the covariance matrix is lazily evaluated and cached.</p> + * @return inverse of the covariance + */ + protected RealMatrix getOmegaInverse() { + if (OmegaInverse == null) { + OmegaInverse = new LUDecompositionImpl(Omega).getSolver().getInverse(); + } + return OmegaInverse; + } + + /** + * Calculates beta by GLS. + * <pre> + * b=(X' Omega^-1 X)^-1X'Omega^-1 y + * </pre> + * @return beta + */ + @Override + protected RealVector calculateBeta() { + RealMatrix OI = getOmegaInverse(); + RealMatrix XT = X.transpose(); + RealMatrix XTOIX = XT.multiply(OI).multiply(X); + RealMatrix inverse = new LUDecompositionImpl(XTOIX).getSolver().getInverse(); + return inverse.multiply(XT).multiply(OI).operate(Y); + } + + /** + * Calculates the variance on the beta. + * <pre> + * Var(b)=(X' Omega^-1 X)^-1 + * </pre> + * @return The beta variance matrix + */ + @Override + protected RealMatrix calculateBetaVariance() { + RealMatrix OI = getOmegaInverse(); + RealMatrix XTOIX = X.transpose().multiply(OI).multiply(X); + return new LUDecompositionImpl(XTOIX).getSolver().getInverse(); + } + + + /** + * Calculates the estimated variance of the error term using the formula + * <pre> + * Var(u) = Tr(u' Omega^-1 u)/(n-k) + * </pre> + * where n and k are the row and column dimensions of the design + * matrix X. + * + * @return error variance + * @since 2.2 + */ + @Override + protected double calculateErrorVariance() { + RealVector residuals = calculateResiduals(); + double t = residuals.dotProduct(getOmegaInverse().operate(residuals)); + return t / (X.getRowDimension() - X.getColumnDimension()); + + } + +} |