dmwright1 {MWright}

One-sided M-Wright distribution

Description

Plots the density function.

Usage

dmwright1(ah, sh, m, max)

Arguments

ah

point estimate for shape parameter alpha.

sh

point estimate for scale parameter s.

m

number of data points (pairs) to use for plotting.

max

maximum x-axis value to use for plotting.

Value

numeric matrix

References

Cahoy and Minkabo (2017). Inference for three-parameter M-Wright distributions with applications. Model Assisted Statistics and Applications, 12(2), 115-125. https://doi.org/10.3233/MAS-170388

Cahoy (2012). Moment estimators for the two-parameter M-Wright distribution. Computational Statistics, 27(3), 487-497. https://doi.org/10.1007/s00180-011-0269-x

Cahoy (2011). On the parameterization of the M-Wright function. Far East Journal of Theoretical Statistics, 34(2), 155-164. http://www.pphmj.com/abstract/5767.htm

Mainardi, Mura, and Pagnini (2010). The M-Wright Function in Time-Fractional Diffusion Processes: A Tutorial Survey. Int. J. Differ. Equ., Volume 2010. https://doi.org/10.1155/2010/104505

Examples

xy=dmwright1(0.45, 2.5, 1000, 10)
plot(xy[,1], xy[,2],  lwd = 2, type="l",ylab="", xlab="x")

mwright1_sided <- rmwright1(1000, 0.45, 2.5)
hist(mwright1_sided, br=30, prob=TRUE)
lines(xy[,1], xy[,2],  lwd=2 )