| Maxwell {VGAM} | R Documentation |
Density, distribution function, quantile function and random generation for the Maxwell distribution.
dmaxwell(x, a, log = FALSE) pmaxwell(q, a) qmaxwell(p, a) rmaxwell(n, a)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. A single positive integer. |
a |
the parameter. |
log |
Logical.
If |
See maxwell, the VGAM family function
for estimating the parameter a by maximum likelihood estimation,
for the formula of the probability density function.
dmaxwell gives the density,
pmaxwell gives the distribution function,
qmaxwell gives the quantile function, and
rmaxwell generates random deviates.
The Maxwell distribution is related to the Rayleigh distribution.
T. W. Yee
Balakrishnan, N. and Nevzorov, V. B. (2003) A Primer on Statistical Distributions. Hoboken, New Jersey: Wiley.
## Not run: a <- 3; x <- seq(-0.5, 3, len = 100)
plot(x, dmaxwell(x, a = a), type = "l", col = "blue", las = 1, ylab = "",
main = "Blue is density, orange is cumulative distribution function",
sub = "Purple lines are the 10,20,...,90 percentiles")
abline(h = 0, col = "blue", lty = 2)
lines(x, pmaxwell(x, a = a), type = "l", col = "orange")
probs <- seq(0.1, 0.9, by = 0.1)
Q <- qmaxwell(probs, a = a)
lines(Q, dmaxwell(Q, a), col = "purple", lty = 3, type = "h")
lines(Q, pmaxwell(Q, a), col = "purple", lty = 3, type = "h")
abline(h = probs, col = "purple", lty = 3)
max(abs(pmaxwell(Q, a) - probs)) # Should be zero
## End(Not run)