Chen distribution {dprop}

Compute the distributional properties of the Chen 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 Chen distribution.

Usage

d_chen(k, c)

Arguments

k

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

c

The strictly positive scale parameter of the Chen distribution (c > 0).

Details

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

f(x)=ckx^{k-1}e^{x^{k}}e^{c-ce^{x^{k}}},

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

Value

d_chen 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 Chen distribution.

Author(s)

Muhammad Imran.

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

References

Chen, Z. (2000). A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function. Statistics & Probability Letters, 49(2), 155–161.

See Also

d_wei, d_EE, d_EW

Examples

d_chen(0.2,0.2)