RiskGamma
Description |
RiskGamma specifies a gamma distribution with shape parameter alpha and scale parameter beta. The Gamma distribution often represents the distribution of interarrival times for several events from a Poisson process. More generally, it can be used to model a nonnegative value when skewness is desired. In a Bayesian context, it can be used to represent the distribution of possible values for the rate of a Poisson process, based on observations of the process.
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Examples |
RiskGamma(2.5,1) returns a gamma distribution with shape parameter 2.5 and scale parameter 1. RiskGamma(C12,C13) returns a gamma distribution with shape and scale parameters taken from cells C12 and C13.
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Guidelines |
alpha and beta must be positive. |
Parameters |
continuous shape parameter continuous scale parameter
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Domain |
continuous |
Density and Cumulative Distribution Functions |
Here, is the Gamma Function and is the Incomplete Gamma Function.
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Mean |
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Variance |
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Skewness |
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Kurtosis |
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Mode |
if 0 if |
Examples |
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