Lino {VGAM} | R Documentation |
Density, distribution function, quantile function and random generation for the generalized beta distribution, as proposed by Libby and Novick (1982).
dlino(x, shape1, shape2, lambda=1) plino(q, shape1, shape2, lambda=1) qlino(p, shape1, shape2, lambda=1) rlino(n, shape1, shape2, lambda=1)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. Must be a positive integer of length 1. |
shape1, shape2, lambda |
see lino . |
See lino
, the VGAM family function
for estimating the parameters,
for the formula of the probability density function and other details.
dlino
gives the density,
plino
gives the distribution function,
qlino
gives the quantile function, and
rlino
generates random deviates.
T. W. Yee
lino
.
## Not run: lambda = 0.4 shape1 = exp(1.3) shape2 = exp(1.3) x = seq(0.0, 1.0, len=101) plot(x, dlino(x, shape1=shape1, shape2=shape2, lambda=lambda), type="l", col="blue", las=1, ylab="", main="Blue is density, red is cumulative distribution function", sub="Purple lines are the 10,20,...,90 percentiles") abline(h=0, col="blue", lty=2) lines(x, plino(x, shape1=shape1, shape2=shape2, l=lambda), col="red") probs = seq(0.1, 0.9, by=0.1) Q = qlino(probs, shape1=shape1, shape2=shape2, lambda=lambda) lines(Q, dlino(Q, shape1=shape1, shape2=shape2, lambda=lambda), col="purple", lty=3, type="h") plino(Q, shape1=shape1, shape2=shape2, l=lambda) - probs # Should be all 0 ## End(Not run)