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)
Arguments
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.
log
Logical.
If log=TRUE then the logarithm of the density is returned.
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.