Invparalogistic {VGAM} | R Documentation |
Density, distribution function, quantile function and random
generation for the inverse paralogistic distribution with
shape parameters a
and p
, and scale parameter scale
.
dinvparalogistic(x, a, scale) pinvparalogistic(q, a, scale) qinvparalogistic(p, a, scale) rinvparalogistic(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 invparalogistic
, which is the VGAM family function
for estimating the parameters by maximum likelihood estimation.
dinvparalogistic
gives the density,
pinvparalogistic
gives the distribution function,
qinvparalogistic
gives the quantile function, and
rinvparalogistic
generates random deviates.
The inverse 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 = rinvparalogistic(n=3000, 4, 6) fit = vglm(y ~ 1, invparalogistic(init.a=2.1), trace=TRUE, crit="c") coef(fit, mat=TRUE) Coef(fit)