Weibull distribution {dprop}

Compute the distributional properties of the Weibull 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 Weibull distribution.

Usage

d_wei(alpha, beta)

Arguments

alpha

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

beta

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

Details

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

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

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

Value

d_wei 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 Weibull distribution.

Author(s)

Muhammad Imran.

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

References

Hallinan Jr, Arthur J. (1993). A review of the Weibull distribution. Journal of Quality Technology, 25(2), 85-93.

See Also

d_EE

Examples

d_wei(2,2)