Density, distribution function, quantile function and random
generation for the Singh-Maddala distribution with shape parameters a
and q, and scale parameter scale.
Usage
dsinmad(x, a, scale = 1, q.arg, log = FALSE)
psinmad(q, a, scale = 1, q.arg)
qsinmad(p, a, scale = 1, q.arg)
rsinmad(n, a, scale = 1, q.arg)
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, q.arg
shape parameters.
scale
scale parameter.
log
Logical.
If log = TRUE then the logarithm of the density is returned.
Value
dsinmad gives the density,
psinmad gives the distribution function,
qsinmad gives the quantile function, and
rsinmad generates random deviates.
Details
See sinmad, 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.