Matrix-exponential distribution: Difference between revisions
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{{Probability distribution |
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| name = Matrix-exponential |
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| type = continuous |
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| parameters = '''α''', '''T''', '''s''' |
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| support = {{nowrap|''x'' ∈ [0, ∞)}} |
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| pdf = {{nowrap|'''α''' e<sup>x'''T'''</sup>'''s'''}} |
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| cdf = {{nowrap|1+'''α'''e<sup>x'''T'''</sup>'''T'''<sup>-1</sup>'''s'''}} |
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| mean = |
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| median = |
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| mode = |
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| variance = |
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| skewness = |
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| kurtosis = |
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| entropy = |
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| mgf = |
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| char = |
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| rate = |
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}} |
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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> |
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Revision as of 18:53, 18 February 2014
Parameters | α, T, s | ||
---|---|---|---|
Support | x ∈ [0, ∞) | ||
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
- ^ 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.