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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, butdisorder may also manifest in  kinetic processes with an overall order higher than one. one may also show disorder.  Here we present a measure of the total disorder,  static or dynamic disorder dynamic,  in irreversible decay for $A^n\to \textrm{products}$, $n=1,2,3,\ldots$. This measure quantifies the cumulative deviations of the rate coefficient history from a constant value -- the inequality between the time-integrated square of the rate coefficient (times 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 in rate coefficients for this class of kinetic processes. The equality is a necessary and sufficient condition for the traditional kinetics with ``rate constants'' to hold.