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Density
for the generalized beta II distribution
with shape parameters a
and p
and q
, and scale parameter scale
.
dgenbetaII(x, scale = 1, shape1.a, shape2.p, shape3.q, log = FALSE)
vector of quantiles.
positive shape parameters.
positive scale parameter.
Logical.
If log = TRUE
then the logarithm of the density is returned.
dgenbetaII
gives the density.
See genbetaII
, which is the VGAM family function
for estimating the parameters by maximum likelihood estimation.
Several distributions, such as the Singh-Maddala, are special case of
this flexible 4-parameter distribution.
The product of shape1.a
and shape2.p
determines the
behaviour of the density at the origin.
Kleiber, C. and Kotz, S. (2003) Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ, USA: Wiley-Interscience.
# NOT RUN {
dgenbetaII(0, shape1.a = 1/4, shape2.p = 4, shape3.q = 3)
dgenbetaII(0, shape1.a = 1/4, shape2.p = 2, shape3.q = 3)
dgenbetaII(0, shape1.a = 1/4, shape2.p = 8, shape3.q = 3)
# }
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