Example usage for org.apache.commons.math3.distribution LogNormalDistribution cumulativeProbability

Introduction

In this page you can find the example usage for org.apache.commons.math3.distribution LogNormalDistribution cumulativeProbability.

Prototype

public double cumulativeProbability(double x) 

Source Link

Document

For scale m , and shape s of this distribution, the CDF is given by

• 0 if x <= 0 ,
• 0 if ln(x) - m < 0 and m - ln(x) > 40 * s , as in these cases the actual value is within Double.MIN_VALUE of 0,
• 1 if ln(x) - m >= 0 and ln(x) - m > 40 * s , as in these cases the actual value is within Double.MIN_VALUE of 1,
• 0.5 + 0.5 * erf((ln(x) - m) / (s * sqrt(2)) otherwise.

Usage

From source file:fr.assoba.open.perf.FindDist.java

/**
 * @param args/*from   www.j  a  v  a 2 s .c  o m*/
 */
public static void main(String[] args) {
    for (double s = 5; s < 9; s = s + 0.01) {
        for (double c = 0.5; c < 5; c = c + 0.01) {
            LogNormalDistribution distribution = new LogNormalDistribution(s, c);
            if ((distribution.cumulativeProbability(200) > .248)
                    && (distribution.cumulativeProbability(200) < .252)) {
                System.out.println(s + ":" + c);
                System.out.println("\t" + distribution.cumulativeProbability(200));
                System.out.println("\t" + distribution.cumulativeProbability(600));
                System.out.println("\t" + distribution.cumulativeProbability(1000 * 1000));
            }
        }
    }
}

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