Hzeta {VGAM} | R Documentation |
Density, distribution function, quantile function and random
generation for Haight's zeta distribution with parameter
shape
.
dhzeta(x, shape, log = FALSE) phzeta(q, shape, log.p = FALSE) qhzeta(p, shape) rhzeta(n, shape)
x, q, p, n |
Same meaning as |
shape |
The positive shape parameter. Called alpha below. |
log,log.p |
The probability function is
f(x) = (2x-1)^(-alpha) - (2x+1)^(-alpha),
where alpha>0 and x=1,2,....
dhzeta
gives the density,
phzeta
gives the distribution function,
qhzeta
gives the quantile function, and
rhzeta
generates random deviates.
Given some response data, the VGAM family function
hzeta
estimates the parameter shape
.
T. W. Yee and Kai Huang
hzeta
,
zeta
,
zetaff
,
simulate.vlm
.
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)