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 normal distribution.
d_normal(alpha, beta)d_normal 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 normal distribution.
Location parameter of the normal distribution (\(\alpha\in\left(-\infty,+\infty\right)\)).
The strictly positive scale parameter of the normal distribution (\(\beta > 0\)).
Muhammad Imran.
R implementation and documentation: Muhammad Imran imranshakoor84@yahoo.com.
The following is the probability density function of the normal distribution: $$ f(x)=\frac{1}{\beta\sqrt{2\pi}}e^{-0.5\left(\frac{x-\alpha}{\beta}\right)^{2}}, $$ where \(x\in\left(-\infty,+\infty\right)\), \(\alpha\in\left(-\infty,+\infty\right)\) and \(\beta > 0\). The parameters \(\alpha\) and \(\beta\) represent the mean and standard deviation, respectively.
Patel, J. K., & Read, C. B. (1996). Handbook of the normal distribution (Vol. 150). CRC Press.
d_lnormal