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Rate coefficients can flucuate fluctuate  dynamically and statically in irreversible decay kinetics, making one rate coefficient not sufficient in describing decay processes. In first order irreversible decay, it has been shown that only when the statistical length squared is equal to the divergence, the rate coefficient is constant. We present new theory using the statistical length squared and divergence by extending it to higher orders of irreversible decay. We find that not only does this inequality work in first order irreverisble decay, but works in any irreversible decay regardless of reaction order.