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To Fluctuating rate coefficients are necessary to  describe disordered kinetic processes with phenomenological, mass-action rate laws it is necessary to introduce fluctuating rate coefficients. laws.  First-order rate laws for irreversible decay have been the primary focus of this approach, but higher-order kinetics disorder  may also be disordered. manifest in higher-order kinetic processes.  Here we present theory for disordered a measure of the static or dynamic disorder in  irreversible decay for $A^n\to \textrm{products}$, $n=1,2,3,\ldots$. The central result is a This  measure of quantifies  the cumulative deviations of the rate coefficient history from a constant value -- the inequality between the square of the time-integrated rate coefficient and the time-integrated rate coefficient squared. Application of this theory to empirical models for disordered kinetics shows this inequality measures the variation in rate coefficients for this class of kinetic processes. Traditional kinetics is valid only when the equality holds.