Distance Metrics for Gamma Distributions

02/03/2018
by   Colin M. McCrimmon, et al.
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Here I present the analytic form of two common distance metrics, the symmetrised Kullback-Leibler Divergence and the Kolmogorov-Smirnov statistic, as well as an extension of the Kolmogorov-Smirnov statistic for comparing theoretical gamma distributions. In doing so, I also present the analytic solution to the intersection of two gamma distributions. Lastly, I provide examples that demonstrate the similarity between these distance metrics and their usefulness in describing the separability of gamma distributions.

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