Package jline.lang.processes

Class Poisson

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Poisson(double rate)

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      static void main(Array<String> args)
      double evalCDF(double t) Evaluates the cumulative distribution function (CDF) at value t.
      double evalPDF(int n)
      double evalLST(double s) Evaluates the Laplace-Stieltjes Transform at s.
      double getMean() Gets the mean (expected value) of this distribution.
      double getRate() Gets the rate of this distribution (inverse of mean).
      double getSCV() Gets the squared coefficient of variation (SCV) of this distribution.
      double getSkewness() Gets the skewness of this distribution.
      double getVar() Gets the variance of this distribution.
      Array<double> sample(int nsamples, Random random) Generates random samples from this distribution using the specified random generator.
      MatrixCell getProcess()

      • Methods inherited from class jline.lang.processes.DiscreteDistribution

        evalPMF, evalPMF, evalPMF

      • Methods inherited from class jline.lang.processes.Distribution

        evalProbInterval, getName, getNumParams, getParam, getSupport, isContinuous, isDisabled, isDiscrete, isImmediate, isMarkovian, mean, name, numParams, param, rate, sample, scv, setNumParams, setParam, skewness, support, var

      • Methods inherited from class jline.lang.Copyable

        copy

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

    • Constructor Detail

      • Poisson

        Poisson(double rate)

    • Method Detail

      • evalCDF

         double evalCDF(double t)

        Evaluates the cumulative distribution function (CDF) at value t. For a discrete Poisson distribution, this is P(X <= floor(t)).

        Parameters:
        t - the value to evaluate
        Returns:

        the CDF value at t

      • evalLST

         double evalLST(double s)

        Evaluates the Laplace-Stieltjes Transform at s. For Poisson(λ), LST(s) = exp(λ(e^(-s) - 1))

        Parameters:
        s - the Laplace domain variable
        Returns:

        the LST value at s

      • getMean

         double getMean()

        Gets the mean (expected value) of this distribution.

        Returns:

        the mean value

      • getRate

         double getRate()

        Gets the rate of this distribution (inverse of mean).

        Returns:

        the rate value (1/mean)

      • getSCV

         double getSCV()

        Gets the squared coefficient of variation (SCV) of this distribution. SCV = Var(X) / E[X]^2.

        Returns:

        the squared coefficient of variation

      • getSkewness

         double getSkewness()

        Gets the skewness of this distribution. Skewness measures the asymmetry of the probability distribution.

        Returns:

        the skewness value

      • getVar

         double getVar()

        Gets the variance of this distribution. Computed as SCV * mean^2.

        Returns:

        the variance

      • sample

         Array<double> sample(int nsamples, Random random)

        Generates random samples from this distribution using the specified random generator.

        Parameters:
        random - the random number generator to use
        Returns:

        array of random samples