Exponentiated exponential distribution {dprop}

Compute the distributional properties of the exponentiated exponential 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 exponentiated exponential distribution.

Usage

d_EE(alpha, beta)

Arguments

alpha

The strictly positive scale parameter of the exponential distribution (\alpha > 0).

beta

The strictly positive shape parameter of the exponentiated exponential distribution (\beta > 0).

Details

The following is the probability density function of the exponentiated exponential distribution:

f(x)=\alpha\beta e^{-\alpha x}\left(1-e^{-\alpha x}\right)^{\beta-1},

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

Value

d_EE 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 exponentiated exponential distribution.

Author(s)

Muhammad Imran.

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

References

Nadarajah, S. (2011). The exponentiated exponential distribution: a survey. AStA Advances in Statistical Analysis, 95, 219-251.

Gupta, R. D., & Kundu, D. (2007). Generalized exponential distribution: Existing results and some recent developments. Journal of Statistical Planning and Inference, 137(11), 3537-3547.

See Also

d_EW, d_wei, d_exp

Examples

d_EE(5,2)