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Java example source code file (RealDistributionComparison.java)

This example Java source code file (RealDistributionComparison.java) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Learn more about this Java project at its project page.

Java - Java tags/keywords

arial, arraylist, awt, betadistribution, cauchydistribution, chisquareddistribution, fdistribution, gammadistribution, gui, jcomponent, levydistribution, lognormaldistribution, paretodistribution, realdistribution, string, swing, tdistribution, util

The RealDistributionComparison.java Java example source code

/*
 * 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.math3.userguide;

import java.awt.BasicStroke;
import java.awt.Color;
import java.awt.Component;
import java.awt.Font;
import java.awt.GridBagConstraints;
import java.awt.GridBagLayout;
import java.awt.Insets;
import java.util.ArrayList;
import java.util.List;

import javax.swing.BorderFactory;
import javax.swing.BoxLayout;
import javax.swing.JComponent;
import javax.swing.JLabel;
import javax.swing.JPanel;
import javax.swing.JScrollPane;

import org.apache.commons.math3.distribution.BetaDistribution;
import org.apache.commons.math3.distribution.CauchyDistribution;
import org.apache.commons.math3.distribution.ChiSquaredDistribution;
import org.apache.commons.math3.distribution.ExponentialDistribution;
import org.apache.commons.math3.distribution.FDistribution;
import org.apache.commons.math3.distribution.GammaDistribution;
import org.apache.commons.math3.distribution.LevyDistribution;
import org.apache.commons.math3.distribution.LogNormalDistribution;
import org.apache.commons.math3.distribution.NormalDistribution;
import org.apache.commons.math3.distribution.ParetoDistribution;
import org.apache.commons.math3.distribution.RealDistribution;
import org.apache.commons.math3.distribution.TDistribution;
import org.apache.commons.math3.distribution.WeibullDistribution;
import org.apache.commons.math3.random.MersenneTwister;
import org.apache.commons.math3.random.RandomGenerator;
import org.apache.commons.math3.userguide.ExampleUtils.ExampleFrame;
import org.apache.commons.math3.util.FastMath;

import com.xeiam.xchart.Chart;
import com.xeiam.xchart.ChartBuilder;
import com.xeiam.xchart.Series;
import com.xeiam.xchart.SeriesMarker;
import com.xeiam.xchart.StyleManager.ChartType;
import com.xeiam.xchart.StyleManager.LegendPosition;
import com.xeiam.xchart.XChartPanel;

/**
 * Plots 2D samples drawn from various pseudo / quasi-random generators.
 */
public class RealDistributionComparison {

    public static void addPDFSeries(Chart chart, RealDistribution distribution, String desc, int lowerBound, int upperBound) {
        // generates Log data
        List<Number> xData = new ArrayList();
        List<Number> yData = new ArrayList();
        int samples = 100;
        double stepSize = (upperBound - lowerBound) / (double) samples;
        for (double x = lowerBound; x <= upperBound; x += stepSize) {
            try {
                double density = distribution.density(x);
                if (! Double.isInfinite(density) && ! Double.isNaN(density)) {
                    xData.add(x);
                    yData.add(density);
                }
            } catch (Exception e) {
                // ignore
                // some distributions may reject certain values depending on the parameter settings
            }
        }

        Series series = chart.addSeries(desc, xData, yData);
        series.setMarker(SeriesMarker.NONE);
        series.setLineStyle(new BasicStroke(1.2f));
    }

    public static void addCDFSeries(Chart chart, RealDistribution distribution, String desc, int lowerBound, int upperBound) {
        // generates Log data
        List<Number> xData = new ArrayList();
        List<Number> yData = new ArrayList();
        int samples = 100;
        double stepSize = (upperBound - lowerBound) / (double) samples;
        for (double x = lowerBound; x <= upperBound; x += stepSize) {
          double density = distribution.cumulativeProbability(x);
          if (! Double.isInfinite(density) && ! Double.isNaN(density)) {
              xData.add(x);
              yData.add(density);
          }
        }

        Series series = chart.addSeries(desc, xData, yData);
        series.setMarker(SeriesMarker.NONE);
        series.setLineStyle(new BasicStroke(1.2f));
    }

    public static Chart createChart(String title, int minX, int maxX, LegendPosition position) {
        Chart chart = new ChartBuilder().width(235).height(200).build();

        // Customize Chart
        chart.setChartTitle(title);
        chart.getStyleManager().setChartTitleVisible(true);
        chart.getStyleManager().setChartTitleFont(new Font("Arial", Font.PLAIN, 10));
        chart.getStyleManager().setLegendPosition(position);
        chart.getStyleManager().setLegendVisible(true);
        chart.getStyleManager().setLegendFont(new Font("Arial", Font.PLAIN, 10));
        chart.getStyleManager().setLegendPadding(6);
        chart.getStyleManager().setLegendSeriesLineLength(6);
        chart.getStyleManager().setAxisTickLabelsFont(new Font("Arial", Font.PLAIN, 9));
        
        chart.getStyleManager().setXAxisMin(minX);
        chart.getStyleManager().setXAxisMax(maxX);
        chart.getStyleManager().setChartBackgroundColor(Color.white);
        chart.getStyleManager().setChartPadding(4);
        
        chart.getStyleManager().setChartType(ChartType.Line);
        return chart;
    }
    
    public static JComponent createComponent(String distributionName, int minX, int maxX, String[] seriesText, RealDistribution... series) {
        JComponent container = new JPanel();
        container.setLayout(new BoxLayout(container, BoxLayout.PAGE_AXIS));
        
        container.add(new JLabel(distributionName));
        
        Chart chart = createChart("PDF", minX, maxX, LegendPosition.InsideNE);
        int i = 0;
        for (RealDistribution d : series) {
            addPDFSeries(chart, d, seriesText[i++], minX, maxX);
        }
        container.add(new XChartPanel(chart));

        chart = createChart("CDF", minX, maxX, LegendPosition.InsideSE);
        i = 0;
        for (RealDistribution d : series) {
            addCDFSeries(chart, d, seriesText[i++], minX, maxX);
        }
        container.add(new XChartPanel(chart));

        container.setBorder(BorderFactory.createLineBorder(Color.black, 1));
        return container;
    }
    
    @SuppressWarnings("serial")
    public static class Display extends ExampleFrame {
        
        private JComponent container;

        public Display() {
            setTitle("Commons-Math: Real distributions overview");
            setSize(1320, 920);
            
            container = new JPanel();
            container.setLayout(new GridBagLayout());
            
            GridBagConstraints c = new GridBagConstraints();
            c.fill = GridBagConstraints.VERTICAL;
            c.gridx = 0;
            c.gridy = 0;
            c.insets = new Insets(2, 2, 2, 2);

            JComponent comp = null;

            comp = createComponent("Normal", -5, 5,
                                   new String[] { "μ=0,σ\u00B2=0.2", "μ=0,σ\u00B2=1", "μ=0,σ\u00B2=5", "μ=-2,σ\u00B2=0.5" },
                                   new NormalDistribution(0, FastMath.sqrt(0.2)),
                                   new NormalDistribution(),
                                   new NormalDistribution(0, FastMath.sqrt(5)),
                                   new NormalDistribution(-2, FastMath.sqrt(0.5)));
            container.add(comp, c);

            c.gridx++;
            comp = createComponent("Beta", 0, 1,
                                   new String[] { "α=β=0.5", "α=5,β=1", "α=1,β=3", "α=2,β=2", "α=2,β=5" },
                                   new BetaDistribution(0.5, 0.5),
                                   new BetaDistribution(5, 1),
                                   new BetaDistribution(1, 3),
                                   new BetaDistribution(2, 2),
                                   new BetaDistribution(2, 5));
            container.add(comp, c);

            c.gridx++;
            comp = createComponent("Cauchy", -5, 5,
                                   new String[] { "x=0,γ=0.5", "x=0,γ=1", "x=0,γ=2", "x=-2,γ=1" },
                                   new CauchyDistribution(0, 0.5),
                                   new CauchyDistribution(0, 1),
                                   new CauchyDistribution(0, 2),
                                   new CauchyDistribution(-2, 1));
            container.add(comp, c);
            
            c.gridx++;
            comp = createComponent("ChiSquared", 0, 5,
                                   new String[] { "k=1", "k=2", "k=3", "k=4", "k=6" },
                                   new ChiSquaredDistribution(1),
                                   new ChiSquaredDistribution(2),
                                   new ChiSquaredDistribution(3),
                                   new ChiSquaredDistribution(4),
                                   new ChiSquaredDistribution(6));
            container.add(comp, c);

            c.gridy++;
            c.gridx = 0;
            comp = createComponent("Exponential", 0, 5,
                                   new String[] { "λ=0.5", "λ=1", "λ=1.5", "λ=2.5" },
                                   new ExponentialDistribution(0.5),
                                   new ExponentialDistribution(1),
                                   new ExponentialDistribution(1.5),
                                   new ExponentialDistribution(2.5));                               
            container.add(comp, c);

            c.gridx++;
            comp = createComponent("Fisher-Snedecor", 0, 5,
                                   new String[] { "d1=1,d2=1", "d1=2,d2=1", "d1=5,d2=2", "d1=100,d2=1", "d1=100,d2=100" },
                                   new FDistribution(1, 1),
                                   new FDistribution(2, 1),
                                   new FDistribution(5, 2),
                                   new FDistribution(100, 1),
                                   new FDistribution(100, 100));
            container.add(comp, c);

            c.gridx++;
            comp = createComponent("Gamma", 0, 20,
                                   new String[] { "k=1,θ=2", "k=2,θ=2", "k=3,θ=2", "k=5,θ=1", "k=9,θ=0.5" },
                                   new GammaDistribution(1, 2),
                                   new GammaDistribution(2, 2),
                                   new GammaDistribution(3, 2),
                                   new GammaDistribution(5, 1),
                                   new GammaDistribution(9, 0.5));
            container.add(comp, c);

            c.gridx++;
            RandomGenerator rng = new MersenneTwister(0);
            comp = createComponent("Levy", 0, 3,
                                   new String[] { "c=0.5", "c=1", "c=2", "c=4", "c=8" },
                                   new LevyDistribution(rng, 0, 0.5),
                                   new LevyDistribution(rng, 0, 1),
                                   new LevyDistribution(rng, 0, 2),
                                   new LevyDistribution(rng, 0, 4),
                                   new LevyDistribution(rng, 0, 8));
            container.add(comp, c);

            c.gridy++;
            c.gridx = 0;
            comp = createComponent("Log-Normal", 0, 3,
                                   new String[] { "μ=0,σ\u00B2=10", "μ=0,σ\u00B2=1.5", "μ=0,σ\u00B2=1", "μ=0,σ\u00B2=0.5", "μ=0,σ\u00B2=0.25", "μ=0,σ\u00B2=0.125" },
                                   new LogNormalDistribution(0, 10),
                                   new LogNormalDistribution(0, 1.5),
                                   new LogNormalDistribution(0, 1),
                                   new LogNormalDistribution(0, 0.5),
                                   new LogNormalDistribution(0, 0.25),
                                   new LogNormalDistribution(0, 0.125));
            container.add(comp, c);

            c.gridx++;
            comp = createComponent("Pareto", 0, 5,
                                   new String[] { "x=1,α=1", "x=1,α=2", "x=1,α=3", "x=1,α=10" },
                                   new ParetoDistribution(1, 1),
                                   new ParetoDistribution(1, 2),
                                   new ParetoDistribution(1, 3),
                                   new ParetoDistribution(1, 10));                               
            container.add(comp, c);

            c.gridx++;
            comp = createComponent("Student-T", -5, 5,
                                   new String[] { "df=1", "df=2", "df=5", "df=10000" },
                                   new TDistribution(1),
                                   new TDistribution(2),
                                   new TDistribution(5),
                                   new TDistribution(10000));                               
            container.add(comp, c);

            c.gridx++;
            comp = createComponent("Weibull", 0, 3,
                                   new String[] { "λ=0.5,k=1", "λ=1,k=1", "λ=1.5,k=1", "λ=5,k=1" },
                                   new WeibullDistribution(0.5, 1),
                                   new WeibullDistribution(1, 1),
                                   new WeibullDistribution(1.5, 1),
                                   new WeibullDistribution(5, 1));
            container.add(comp, c);
            
            JScrollPane scrollPane = new JScrollPane(container);
            add(scrollPane);
            
        }

        @Override
        public Component getMainPanel() {
            return container;
        }

    }

    public static void main(String[] args) {
        ExampleUtils.showExampleFrame(new Display());
    }
}

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