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Rate coefficients define a paramater capable of almost universally characterizing any kinetic process. There are many instances where the traditional kinetics model does not sufficiently describe a population decaying over time [insert citation]. These cases are more accurately described by either a distribution of rate coefficients, or a time dependent rate coefficient, defined as static or dynamic disorder 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 kinetics through an inequality[insert citation]. The convenience of this inequality is through its ability to quantify disorder, with the uniqueproperty unique property  of becoming the an  equality only when the system is disorder free, and therefore described by the chemical kinetics in its  classical sense formulation. The next problem that should be addressed is that  of chemical kinetics. However highter oreder kinetics,  what if the physical systems one wishes to understand are more complex kinetic schemes, they would require  a model is chosen with modified theoretical framework for analysis, but should and can be addressed. To motivate this type of development systems such as...... are all known to proceed through  higher order ordered  kinetics, can and all of these systems possess unique and interesting applications, therefore a more complete kinetics description of them should be pursued[insert citations].   For this work  we define useful kinetic information for propose  a general mechanism generalization  of our previous first order irreversible decay kinetics to higher orders, with complete framework analyzing any  $n^{th}$ order kinetics? system with this description.  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 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.