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Matrix-exponential distribution: Difference between revisions

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{{Probability distribution
| name = Matrix-exponential
| type = continuous
| parameters = '''α''', '''T''', '''s'''
| support = {{nowrap|''x'' ∈ [0, ∞)}}
| pdf = {{nowrap|'''α''' e<sup>x'''T'''</sup>'''s'''}}
| cdf = {{nowrap|1+'''α'''e<sup>x'''T'''</sup>'''T'''<sup>-1</sup>'''s'''}}
| mean =
| median =
| mode =
| variance =
| skewness =
| kurtosis =
| entropy =
| mgf =
| char =
| rate =
}}
In [[probability theory]], the '''matrix-exponential distribution''' is an [[absolutely continuous]] distribution with rational [[Laplace–Stieltjes transform]].<ref>{{cite doi|10.1002/0471667196.ess1092.pub2}}</ref>
In [[probability theory]], the '''matrix-exponential distribution''' is an [[absolutely continuous]] distribution with rational [[Laplace–Stieltjes transform]].<ref>{{cite doi|10.1002/0471667196.ess1092.pub2}}</ref>



Revision as of 18:53, 18 February 2014

Matrix-exponential
Parameters α, T, s
Support x ∈ [0, ∞)
PDF α exTs
CDF 1+αexTT-1s

In probability theory, the matrix-exponential distribution is an absolutely continuous distribution with rational Laplace–Stieltjes transform.[1]

References

  1. ^ Attention: This template ({{cite doi}}) is deprecated. To cite the publication identified by doi:10.1002/0471667196.ess1092.pub2, please use {{cite journal}} (if it was published in a bona fide academic journal, otherwise {{cite report}} with |doi=10.1002/0471667196.ess1092.pub2 instead.