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Rate coefficients define a paramater capable of almost universally characterizing any kinetic process. There are many instances where the traditional kinetic kinetics  model does not sufficiently describe a population decaying over time [insert citation]. The overall rate coefficient may depend of These cases are more accurately described by either  a distribution of rate coefficients, or the rate coefficient may be a  time dependent. These models are respectively known dependent rate coefficient, defined  as static and dynamic disorder[insert citation]. Both static and or  dynamic disorder have been studied in respectively [insert citation]. Therefore the ability to quantify these types of potentially inclusive disorders is essential information for understanding your system. In our previous work a theory was developed for analyzing  first order irreversible decay reactions previously[insert kinetics through an inequality[insert  citation]. The convenience of this inequality is through its ability to quantify disorder, with the uniqueproperty of becoming the equality only when the system is disorder free, and therefore described by the classical sense of chemical kinetics.  However what if a model is chosen with higher order kinetics, can we define useful kinetic information for a general mechanism of $n^{th}$ order kinetics? In this work we propose a method for studying these more complex cases in chemical kinetics propopsinmg theory to analyze disorder in $n^{th}$ order kinetics and provide detailed proof of principle analyses for second order kinetics and mixed order kinetics for irreversible decay phenominium. We then connect this theory to previously accepted work on first order kinetics showing how the model simplifies in a consistent manner when working with first order models. An inequality between two important quantities known as the statistical length and Fisher divergence is able to quantitatively measure the amount of static and dynamic disorder of a rate coefficient over a period of time, and is able to determine when traditional kinetics is truly valid[insert citation]. When the inequality is minimized, the statistical description of rate coefficients is also minimized, which can help one determine the best data set to use during a kinetic analysis. This inequality measures the temporal and spatial variation in the rate coefficient. When there is no static or dynamic disorder, this inequality is reduced to an equality and it is the only time where traditional kinetics is truly valid. This inequality has been interpreted as a measure of how constant a rate coefficient can be. It captures the fluctuations associated with the rate coefficient for first order irreversible decay processes. In this work we expand on this idea providing more generality and utility to the theory by generalizing gernealizing  to higher order kinetics. The most important piece in extending current theory to higher order irreversible decay is determining the time dependent rate coefficient, which is dependent on the order of reaction. The statistical length and divergence are both functions of the time dependent rate coefficient.  \begin{equation}