acid (version 1.1)

theil.gamma: Theil Index for the Gamma Distribution

Description

This function computes the Theil index for the gamma distribution.

Usage

theil.gamma(p)

Arguments

p

the shape parameter p of the gamma distribution as defined by Kleiber and Kotz (2003).

Value

• returns the Theil index.

References

Cowell, F.A. (2000): Measurement of Inequality, in: Atkinson and Bourguignon (eds.), Handbook of Income Distribution, pp. 1-86, Elsevier, Amsterdam. Kleiber, C. and Kotz, S. (2003): Statistical Size Distributions in Economics and Actuarial Sciences, Wiley, Hoboken.

See Also

entropy

Examples

shape.test <- 5
scale.test  <- 50000
y <- rgamma(10000,shape=shape.test,scale=scale.test)
entropy(y,1)
theil.gamma(shape.test)