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Rate coefficients can flucuate 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. The rate coefficient is constant when these two quantities are equal, regardless of their We find that not only does this inequality work in first  order irreverisble decay, but works in any irreversible decay regardless  of reaction. reaction order.