Inverse-gamma distribution {dprop}

Compute the distributional properties of the inverse-gamma distribution

Description

Compute the first four ordinary moments, central moments, mean, and variance, Pearson's coefficient of skewness and kurtosis, coefficient of variation, median and quartile deviation based on the selected parametric values of the inverse-gamma distribution.

Usage

d_ingam(alpha, beta)

Arguments

alpha

The strictly positive parameter of the inverse-gamma distribution (\alpha > 0).

beta

The strictly positive parameter of the inverse-gamma distribution (\beta > 0).

Details

The following is the probability density function of the inverse-gamma distribution:

f(x)=\frac{\beta^{\alpha}}{\Gamma(\alpha)}x^{-\alpha-1}e^{-\frac{\beta}{x}},

where x > 0, \alpha > 0 and \beta > 0.

Value

d_ingam gives the first four ordinary moments, central moments, mean, and variance, Pearson's coefficient of skewness and kurtosis, coefficient of variation, median and quartile deviation based on the selected parametric values of the inverse-gamma distribution.

Author(s)

Muhammad Imran.

R implementation and documentation: Muhammad Imran [e-mail].

References

Rivera, P. A., Calderín-Ojeda, E., Gallardo, D. I., & Gómez, H. W. (2021). A compound class of the inverse Gamma and power series distributions. Symmetry, 13(8), 1328.

Glen, A. G. (2017). On the inverse gamma as a survival distribution. Computational Probability Applications, 15-30.

See Also

d_gamma

Examples

d_ingam(5,2)