genray | R Documentation |
Density, distribution function, quantile function and random generation for the generalized Rayleigh distribution.
dgenray(x, scale = 1, shape, log = FALSE) pgenray(q, scale = 1, shape, lower.tail = TRUE, log.p = FALSE) qgenray(p, scale = 1, shape, lower.tail = TRUE, log.p = FALSE) rgenray(n, scale = 1, shape)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations.
If |
scale, shape |
positive scale and shape parameters. |
log |
Logical.
If |
lower.tail, log.p |
Same meaning as in |
See genrayleigh
, the VGAM family function
for estimating the parameters,
for the formula of the probability density function and other details.
dgenray
gives the density,
pgenray
gives the distribution function,
qgenray
gives the quantile function, and
rgenray
generates random deviates.
We define scale
as the reciprocal of the scale parameter
used by Kundu and Raqab (2005).
Kai Huang and J. G. Lauder and T. W. Yee
genrayleigh
,
rayleigh
.
## Not run: shape <- 0.5; Scale <- 1; nn <- 501 x <- seq(-0.10, 3.0, len = nn) plot(x, dgenray(x, shape, scale = Scale), type = "l", las = 1, ylim = c(0, 1.2), ylab = paste("[dp]genray(shape = ", shape, ", scale = ", Scale, ")"), col = "blue", cex.main = 0.8, main = "Blue is density, orange is cumulative distribution function", sub = "Purple lines are the 10,20,...,90 percentiles") lines(x, pgenray(x, shape, scale = Scale), col = "orange") probs <- seq(0.1, 0.9, by = 0.1) Q <- qgenray(probs, shape, scale = Scale) lines(Q, dgenray(Q, shape, scale = Scale), col = "purple", lty = 3, type = "h") lines(Q, pgenray(Q, shape, scale = Scale), col = "purple", lty = 3, type = "h") abline(h = probs, col = "purple", lty = 3) max(abs(pgenray(Q, shape, scale = Scale) - probs)) # Should be 0 ## End(Not run)
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