Paralogistic {VGAM} | R Documentation |
Density, distribution function, quantile function and random
generation for the paralogistic distribution with shape parameter a
and scale parameter scale
.
dparalogistic(x, a, scale) pparalogistic(q, a, scale) qparalogistic(p, a, scale) rparalogistic(n, a, scale)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. If length(n) > 1 , the length
is taken to be the number required. |
a |
shape parameter. |
scale |
scale parameter. |
See paralogistic
, which is the VGAM family function
for estimating the parameters by maximum likelihood estimation.
dparalogistic
gives the density,
pparalogistic
gives the distribution function,
qparalogistic
gives the quantile function, and
rparalogistic
generates random deviates.
The paralogistic distribution is a special case of the 4-parameter generalized beta II distribution.
T. W. Yee
Kleiber, C. and Kotz, S. (2003) Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ: Wiley-Interscience.
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)