Hzeta {VGAM} | R Documentation |
Haight's Zeta Distribution
Description
Density, distribution function, quantile function and random
generation for Haight's zeta distribution with parameter
shape
.
Usage
dhzeta(x, shape, log = FALSE)
phzeta(q, shape, log.p = FALSE)
qhzeta(p, shape)
rhzeta(n, shape)
Arguments
x , q , p , n |
Same meaning as |
shape |
The positive shape parameter.
Called |
log , log.p |
Details
The probability function is
where and
.
Value
dhzeta
gives the density,
phzeta
gives the distribution function,
qhzeta
gives the quantile function, and
rhzeta
generates random deviates.
Note
Given some response data, the VGAM family function
hzeta
estimates the parameter shape
.
Author(s)
T. W. Yee and Kai Huang
See Also
hzeta
,
zeta
,
zetaff
,
simulate.vlm
.
Examples
dhzeta(1:20, 2.1)
rhzeta(20, 2.1)
round(1000 * dhzeta(1:8, 2))
table(rhzeta(1000, 2))
## Not run: shape <- 1.1; x <- 1:10
plot(x, dhzeta(x, shape = shape), type = "h", ylim = 0:1,
sub = paste("shape =", shape), las = 1, col = "blue",
ylab = "Probability", lwd = 2,
main = "Haight's zeta: blue = density; orange = CDF")
lines(x+0.1, phzeta(x, shape = shape), col = "orange", lty = 3, lwd = 2,
type = "h")
## End(Not run)
[Package VGAM version 1.1-11 Index]