Package jline.lang.processes

Class Poisson

java.lang.Object
jline.lang.processes.Distribution
jline.lang.processes.DiscreteDistribution
jline.lang.processes.Poisson
All Implemented Interfaces:
Serializable, Copyable
public class Poisson extends DiscreteDistribution implements Serializable
A Poisson discrete distribution
See Also:

  • Constructor Details

    • Poisson

      public Poisson(double rate)

  • Method Details

    • main

      public static void main(String[] args)

    • evalCDF

      public double evalCDF(double t)
      Evaluates the cumulative distribution function (CDF) at value t. For a discrete Poisson distribution, this is P(X invalid input: '<'= floor(t)).
      Specified by:
      evalCDF in class Distribution
      Parameters:
      t - the value to evaluate
      Returns:
      the CDF value at t

    • evalPDF

      public double evalPDF(int n)

    • evalLST

      public double evalLST(double s)
      Evaluates the Laplace-Stieltjes Transform at s. For Poisson(λ), LST(s) = exp(λ(e^(-s) - 1))
      Overrides:
      evalLST in class DiscreteDistribution
      Parameters:
      s - the Laplace domain variable
      Returns:
      the LST value at s

    • getMean

      public double getMean()
      Description copied from class: Distribution
      Gets the mean (expected value) of this distribution.
      Specified by:
      getMean in class Distribution
      Returns:
      the mean value

    • getRate

      public double getRate()
      Description copied from class: Distribution
      Gets the rate of this distribution (inverse of mean).
      Overrides:
      getRate in class Distribution
      Returns:
      the rate value (1/mean)

    • getSCV

      public double getSCV()
      Description copied from class: Distribution
      Gets the squared coefficient of variation (SCV) of this distribution. SCV = Var(X) / E[X]^2.
      Specified by:
      getSCV in class Distribution
      Returns:
      the squared coefficient of variation

    • getSkewness

      public double getSkewness()
      Description copied from class: Distribution
      Gets the skewness of this distribution. Skewness measures the asymmetry of the probability distribution.
      Specified by:
      getSkewness in class Distribution
      Returns:
      the skewness value

    • getVar

      public double getVar()
      Description copied from class: Distribution
      Gets the variance of this distribution. Computed as SCV * mean^2.
      Overrides:
      getVar in class Distribution
      Returns:
      the variance

    • sample

      public double[] sample(int nsamples, Random random)
      Description copied from class: Distribution
      Generates random samples from this distribution using the specified random generator.
      Specified by:
      sample in class Distribution
      Parameters:
      nsamples - the number of samples to generate
      random - the random number generator to use
      Returns:
      array of random samples

    • getProcess

      public MatrixCell getProcess()