Kumaraswamy distribution {dprop}

Compute the distributional properties of the Kumaraswamy 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 Kumaraswamy distribution.

Usage

d_kum(alpha, beta)

Arguments

alpha

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

beta

The strictly positive parameter of the Kumaraswamy distribution (\beta > 0).

Details

The following is the probability density function of the Kumaraswamy distribution:

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

where 0\leq x\leq1, \alpha > 0 and \beta > 0.

Value

d_kum gives the first four ordinary moments, central moments, mean, variance, Pearson's coefficient of skewness, kurtosis, coefficient of variation, median and quartile deviation at some parametric values based on the Kumaraswamy distribution.

Author(s)

Muhammad Imran.

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

References

El-Sherpieny, E. S. A., & Ahmed, M. A. (2014). On the kumaraswamy distribution. International Journal of Basic and Applied Sciences, 3(4), 372.

Mitnik, P. A. (2013). New properties of the Kumaraswamy distribution. Communications in Statistics-Theory and Methods, 42(5), 741-755.

Dey, S., Mazucheli, J., & Nadarajah, S. (2018). Kumaraswamy distribution: different methods of estimation. Computational and Applied Mathematics, 37, 2094-2111.

See Also

d_beta

Examples

d_kum(2,2)