Inv.lomax {VGAM} | R Documentation |
The Inverse Lomax Distribution
Description
Density, distribution function, quantile function and random
generation for the inverse Lomax distribution with shape
parameter p
and scale parameter scale
.
Usage
dinv.lomax(x, scale = 1, shape2.p, log = FALSE)
pinv.lomax(q, scale = 1, shape2.p, lower.tail = TRUE, log.p = FALSE)
qinv.lomax(p, scale = 1, shape2.p, lower.tail = TRUE, log.p = FALSE)
rinv.lomax(n, scale = 1, shape2.p)
Arguments
x , q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. If |
shape2.p |
shape parameter. |
scale |
scale parameter. |
log |
Logical.
If |
lower.tail , log.p |
Details
See inv.lomax
, which is the VGAM family
function for estimating the parameters by maximum likelihood
estimation.
Value
dinv.lomax
gives the density,
pinv.lomax
gives the distribution function,
qinv.lomax
gives the quantile function, and
rinv.lomax
generates random deviates.
Note
The inverse Lomax distribution is a special case of the 4-parameter generalized beta II distribution.
Author(s)
T. W. Yee
References
Kleiber, C. and Kotz, S. (2003). Statistical Size Distributions in Economics and Actuarial Sciences, Hoboken, NJ, USA: Wiley-Interscience.
See Also
Examples
idata <- data.frame(y = rinv.lomax(n = 1000, exp(2), exp(1)))
fit <- vglm(y ~ 1, inv.lomax, idata, trace = TRUE, crit = "coef")
coef(fit, matrix = TRUE)
Coef(fit)