VGAM (version 0.7-10)

Paralogistic: The Paralogistic Distribution

Description

Density, distribution function, quantile function and random generation for the paralogistic distribution with shape parameter a and scale parameter scale.

Usage

dparalogistic(x, a, scale=1, log=FALSE)
pparalogistic(q, a, scale=1)
qparalogistic(p, a, scale=1)
rparalogistic(n, a, scale=1)

Value

• dparalogistic gives the density, pparalogistic gives the distribution function, qparalogistic gives the quantile function, and rparalogistic generates random deviates.

Details

See paralogistic, which is the VGAM family function for estimating the parameters by maximum likelihood estimation.

References

Kleiber, C. and Kotz, S. (2003) Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ: Wiley-Interscience.

See Also

paralogistic, genbetaII.

Examples

y = rparalogistic(n=3000, 4, 6)
fit = vglm(y ~ 1, paralogistic(init.a=2.1), trace=TRUE, crit="c")
coef(fit, mat=TRUE)
Coef(fit)