Class Map_pdfKt
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- All Implemented Interfaces:
public final class Map_pdfKt
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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. -
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Method Detail
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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) matricestset
- Array of time points at which to evaluate the PDF- Returns:
Array of PDF values corresponding to the time points
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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 MAPD1
- The visible transition matrix of the MAPtset
- Array of time points at which to evaluate the PDF- Returns:
Array of PDF values corresponding to the time points
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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 MatrixCellt
- Time point at which to evaluate the PDF- Returns:
The PDF value at time t
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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 MAPD1
- The visible transition matrix of the MAPt
- Time point at which to evaluate the PDF- Returns:
The PDF value at time t
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