Distributions of Maxima and Minima
Density function, distribution function, quantile function and random generation for the maximum/minimum of a given number of independent variables from a specified distribution.
dExtrVal(x, densfun, distnfun, ..., distn, mlen = 1, largest = TRUE,
log = FALSE)
pExtrVal(q, distnfun, ..., distn, mlen = 1, largest = TRUE,
lower.tail = TRUE)
qExtrVal(p, quantfun, ..., distn, mlen = 1, largest = TRUE,
lower.tail = TRUE)
rExtrVal(n, quantfun, ..., distn, mlen = 1, largest = TRUE)x, q |
Vector of quantiles. |
p |
Vector of probabilities. |
n |
Number of observations. |
densfun, distnfun, quantfun |
Density, distribution and
quantile function of the specified distribution. The density
function must have a |
... |
Parameters of the specified distribution. |
distn |
A character string, optionally given as an
alternative to |
mlen |
The number of independent variables. |
largest |
Logical; if |
log |
Logical; if |
lower.tail |
Logical; if |
dExtrVal gives the density function, pExtrVal gives the
distribution function and qExtrVal gives the quantile function
of the maximum/minimum of mlen independent variables from
a specified distibution. rExtrVal generates random deviates.
Alec Stephenson <alec_stephenson@hotmail.com>
dExtrVal(2:4, dnorm, pnorm, mean = 0.5, sd = 1.2, mlen = 5) dExtrVal(2:4, distn = "norm", mean = 0.5, sd = 1.2, mlen = 5) dExtrVal(2:4, distn = "exp", mlen = 2, largest = FALSE) pExtrVal(2:4, distn = "exp", rate = 1.2, mlen = 2) qExtrVal(seq(0.9, 0.6, -0.1), distn = "exp", rate = 1.2, mlen = 2) rExtrVal(5, qgamma, shape = 1, mlen = 10) p <- (1:9)/10 pexp(qExtrVal(p, distn = "exp", rate = 1.2, mlen = 1), rate = 1.2) ## [1] 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
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