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Definition: Gamma distribution is a distribution that arises naturally in processes for which the waiting times between events are relevant. It can be thought of as a waiting time between Poisson distributed events. Probability density function: The waiting time until the hth Poisson event with a rate of change Î» is.
FastTree uses the area under the continuous gamma distribution between two midpoints: P(rate i | shape & scale) = integral of the gamma distribution with the given shape parameter and a mean of 1 from scale*(rate i-1 + rate i)/2 to scale*(rate i + rate i+1)/2.