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BUILT-IN MATHEMATICA SYMBOL
CompoundRenewalProcess
CompoundRenewalProcess[rdist, jdist]
represents a compound renewal process with renewal-time distribution rdist and jump size distribution jdist.
Details
- CompoundRenewalProcess is also known as a renewal-reward process or cumulative renewal process.
- CompoundRenewalProcess is a continuous-time process with continuous rdist, a discrete-time process for a discrete rdist, a continuous-state process with continuous jdist, and a discrete-state process with discrete jdist.
- The distribution rdist can be any univariate distribution with non-negative domain. The distribution jdist can be any univariate distribution.
- The state at time
is given by 
where the 
are independent and identically distributed random variables following jdist and 
follows RenewalProcess[rdist]. - CompoundRenewalProcess can be used with such functions as Mean, Variance, and RandomFunction.
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