Application of moments to rate equations

It is sometimes convenient to express the rate equations as moment equations. Direct integration then gives the various moments of a PCLD. Thus, for 

The higher order moments can be readily generated and the set of equations integrated using the transformed initial conditions and the eigenzeit transformation. 

The integration and evaluation of the moments are entirely equivalent to using generating functions. Occasionally, this approach to developing the equations for the moments is the most direct and hence the most useful. 

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