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Fluctuating rate coefficients are necessary to describe disordered kinetic processes with phenomenological, mass-action rate laws. First-order rate laws for irreversible decay have been the primary focus of this approach, but kinetic processes with an overall order higher than one may also show disorder. Here we present a measure of the total disorder, static or dynamic, in irreversible decay for $A^n\to \textrm{products}$, $n=1,2,3,\ldots$. This The  measurequantifies the cumulative deviations  of the rate coefficient history from a constant value -- we introduce is  the inequality between the time-integrated square of the rate coefficient (times (multiplied by  the time interval of interest) and the square of the time-integrated rate coefficient. Applying this measure to empirical models for disordered kinetics of order $n\geq 2$ shows this inequality measures the variation cumulative deviations  in rate coefficients from a constant value  for this class of kinetic processes. The equality is a necessary and sufficient condition for the traditional kinetics with ``rate constants'' to hold.