Rayleigh distribution {dprop}

Compute the distributional properties of the Rayleigh 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 Rayleigh distribution.

Usage

d_rayl(alpha)

Arguments

alpha

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

Details

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

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

where x > 0, \alpha > 0.

Value

d_rayl 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 Rayleigh distribution.

Author(s)

Muhammad Imran.

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

References

Forbes, C., Evans, M. Hastings, N., & Peacock, B. (2011). Statistical Distributions. John Wiley & Sons.

See Also

d_wei

Examples

d_rayl(2)