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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
HypoexponentialDistribution
HypoexponentialDistribution[{
1, ...,
m}]
represents an m-phase hypoexponential distribution with rates
, ...,
.
DetailsDetails
- HypoexponentialDistribution is also known as a sequential m-phase exponential distribution.
- An m-phase hypoexponential distribution can be interpreted as having m servers in series where the i
server has service rate
. - The probability density for value
and distinct rates
is a linear combination of exponentials
for
and zero for
. - HypoexponentialDistribution[{
1, ...,
m}] is equivalent to TransformedDistribution[x1+
+xm, ...] with each
from ExponentialDistribution[
i]. - HypoexponentialDistribution allows
to be any positive real numbers. - HypoexponentialDistribution can be used with such functions as Mean, CDF, and RandomVariate.
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