Nakagami distribution {dprop}

Compute the distributional properties of the Nakagami 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 Nakagami distribution.

Usage

d_naka(alpha, beta)

Arguments

alpha

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

beta

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

Details

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

f(x)=\frac{2\alpha^{\alpha}}{\Gamma(\alpha)\beta^{\alpha}}x^{2\alpha-1}e^{-\frac{\alpha x^{2}}{\beta}},

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

Value

d_naka 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 Nakagami distribution.

Author(s)

Muhammad Imran.

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

References

Schwartz, J., Godwin, R. T., & Giles, D. E. (2013). Improved maximum-likelihood estimation of the shape parameter in the Nakagami distribution. Journal of Statistical Computation and Simulation, 83(3), 434-445.

See Also

d_gamma

Examples

d_naka(2,2)