Burr XII distribution {dprop}

Compute the distributional properties of the Burr XII 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 Burr XII distribution.

Usage

d_burr(k, c)

Arguments

k

The strictly positive shape parameter of the Burr XII distribution (k > 0).

c

The strictly positive shape parameter of the Burr XII distribution (c > 0).

Details

The following is the probability density function of the Burr XII distribution:

f(x)=kcx^{c-1}\left(1+x^{c}\right)^{-k-1},

where x > 0, c > 0 and k > 0.

Value

d_burr gives the first four ordinary moments, central moments, mean, variance, Pearson's coefficient of skewness, kurtosis, coefficient of variation, median and quartile deviation based on the selected parametric values of the Burr XII distribution.

Author(s)

Muhammad Imran.

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

References

Rodriguez, R. N. (1977). A guide to the Burr type XII distributions. Biometrika, 64(1), 129-134.

Zimmer, W. J., Keats, J. B., & Wang, F. K. (1998). The Burr XII distribution in reliability analysis. Journal of Quality Technology, 30(4), 386-394.

See Also

d_kburr

Examples

d_burr(2,10)