Package jline.lang.processes

Class Exp

java.lang.Object
jline.lang.processes.Distribution
jline.lang.processes.ContinuousDistribution
jline.lang.processes.Markovian
jline.lang.processes.Exp
All Implemented Interfaces:
Serializable, Copyable
public class Exp extends Markovian implements Serializable
An exponential distribution.
See Also:

  • Constructor Details

    • Exp

      public Exp(double lambda)
      Creates an exponential distribution with the specified rate parameter.
      Parameters:
      lambda - the rate parameter (must be positive)

  • Method Details

    • fitMean

      public static Exp fitMean(double MEAN)
      Creates an exponential distribution fitted to the specified mean.
      Parameters:
      MEAN - the desired mean value
      Returns:
      an exponential distribution with the specified mean

    • fitRate

      public static Exp fitRate(double RATE)
      Creates an exponential distribution fitted to the specified rate.
      Parameters:
      RATE - the desired rate value
      Returns:
      an exponential distribution with the specified rate

    • evalCDF

      public double evalCDF(double t)
      Evaluates the cumulative distribution function at the given point.
      Overrides:
      evalCDF in class Markovian
      Parameters:
      t - the point at which to evaluate the CDF
      Returns:
      the CDF value F(t) = 1 - e^(-λt)

    • evalLST

      public double evalLST(double s)
      Evaluates the Laplace-Stieltjes transform at the given point.
      Overrides:
      evalLST in class Markovian
      Parameters:
      s - the transform variable
      Returns:
      the LST value λ/(λ+s)

    • getMean

      public double getMean()
      Gets the mean of this exponential distribution.
      Overrides:
      getMean in class Markovian
      Returns:
      the mean value (1/λ)

    • getNumberOfPhases

      public long getNumberOfPhases()
      Gets the number of phases in this distribution. Exponential distribution has a single phase.
      Overrides:
      getNumberOfPhases in class Markovian
      Returns:
      always returns 1

    • getRate

      public double getRate()
      Gets the rate parameter of this exponential distribution.
      Overrides:
      getRate in class Markovian
      Returns:
      the rate parameter λ

    • getSCV

      public double getSCV()
      Gets the squared coefficient of variation. For exponential distribution, SCV = 1.
      Overrides:
      getSCV in class Markovian
      Returns:
      always returns 1

    • getSkewness

      public double getSkewness()
      Gets the skewness of this exponential distribution.
      Overrides:
      getSkewness in class Markovian
      Returns:
      always returns 2

    • getVar

      public double getVar()
      Gets the variance of this exponential distribution.
      Overrides:
      getVar in class Markovian
      Returns:
      the variance (1/λ²)

    • sample

      public double[] sample(int n)
      Description copied from class: Distribution
      Generates random samples from this distribution using default random generator.
      Overrides:
      sample in class Markovian
      Parameters:
      n - the number of samples to generate
      Returns:
      array of random samples

    • sample

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

    • toString

      public String toString()
      Overrides:
      toString in class Object

    • updateRate

      public void updateRate(double rate)
      Updates the rate parameter of this exponential distribution.
      Parameters:
      rate - the new rate parameter

    • numberOfPhases

      public long numberOfPhases()
      Kotlin-style property alias for getNumberOfPhases()
      Overrides:
      numberOfPhases in class Markovian

    • numPhases

      public long numPhases()
      Kotlin-style property alias for getNumberOfPhases()
      Overrides:
      numPhases in class Markovian

    • mean

      public double mean()
      Kotlin-style property alias for getMean()
      Overrides:
      mean in class Markovian

    • rate

      public double rate()
      Kotlin-style property alias for getRate()
      Overrides:
      rate in class Markovian

    • scv

      public double scv()
      Kotlin-style property alias for getSCV()
      Overrides:
      scv in class Markovian

    • skewness

      public double skewness()
      Kotlin-style property alias for getSkewness()
      Overrides:
      skewness in class Markovian

    • var

      public double var()
      Kotlin-style property alias for getVar()
      Overrides:
      var in class Markovian