Exponential extension distribution {dprop}

Compute the distributional properties of the exponential extension 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 exponential extension distribution.

Usage

d_nh(alpha, beta)

Arguments

alpha

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

beta

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

Details

The following is the probability density function of the exponential extension distribution:

f(x)=\alpha\beta(1+\alpha x)^{\beta-1}e^{1-(1+\alpha x)^{\beta}},

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

Value

d_nh 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 exponential extension distribution.

Author(s)

Muhammad Imran.

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

References

Nadarajah, S., & Haghighi, F. (2011). An extension of the exponential distribution. Statistics, 45(6), 543-558.

See Also

d_exp

Examples

d_nh(0.5,1)