Package jline.api.mam

Class Map_pdfKt

  • All Implemented Interfaces:

    
    public final class Map_pdfKt
    
                        
    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description
    • Field Summary

      Fields 
      Modifier and Type Field Description
    • Constructor Summary

      Constructors 
      Constructor Description
    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description
    • Method Summary

      Modifier and Type Method Description
      final static DoubleArray map_pdf(MatrixCell MAP, DoubleArray tset) Computes the probability density function (PDF) of a MAP at specified time points.
      final static DoubleArray map_pdf(Matrix D0, Matrix D1, DoubleArray tset) Computes the probability density function (PDF) of a MAP at specified time points.
      final static Double map_pdf(MatrixCell MAP, Double t) Computes the probability density function (PDF) of a MAP at a single time point.
      final static Double map_pdf(Matrix D0, Matrix D1, Double t) Computes the probability density function (PDF) of a MAP at a single time point.
      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
    • Constructor Detail

    • Method Detail

      • map_pdf

         final static DoubleArray map_pdf(MatrixCell MAP, DoubleArray tset)

        Computes the probability density function (PDF) of a MAP at specified time points.

        This function evaluates the PDF of the inter-arrival times of a Markovian Arrival Process at the given time points. The PDF is computed using the formula: f(t) = π * exp(D0 * t) * (-D0) * e

        where π is the steady-state probability of the embedded DTMC and e is a column vector of ones.

        Parameters:
        MAP - The Markovian Arrival Process stored in a MatrixCell, containing the (D0, D1) matrices
        tset - Array of time points at which to evaluate the PDF
        Returns:

        Array of PDF values corresponding to the time points

      • map_pdf

         final static DoubleArray map_pdf(Matrix D0, Matrix D1, DoubleArray tset)

        Computes the probability density function (PDF) of a MAP at specified time points.

        Parameters:
        D0 - The hidden transition matrix of the MAP
        D1 - The visible transition matrix of the MAP
        tset - Array of time points at which to evaluate the PDF
        Returns:

        Array of PDF values corresponding to the time points

      • map_pdf

         final static Double map_pdf(MatrixCell MAP, Double t)

        Computes the probability density function (PDF) of a MAP at a single time point.

        Parameters:
        MAP - The Markovian Arrival Process stored in a MatrixCell
        t - Time point at which to evaluate the PDF
        Returns:

        The PDF value at time t

      • map_pdf

         final static Double map_pdf(Matrix D0, Matrix D1, Double t)

        Computes the probability density function (PDF) of a MAP at a single time point.

        Parameters:
        D0 - The hidden transition matrix of the MAP
        D1 - The visible transition matrix of the MAP
        t - Time point at which to evaluate the PDF
        Returns:

        The PDF value at time t