Distributions of Order Statistics
Density function, distribution function and random generation for a selected Order statistic of a given number of independent variables from a specified distribution.
dOrder(x, densfun, distnfun, ..., distn, mlen = 1, j = 1,
largest = TRUE, log = FALSE)
pOrder(q, distnfun, ..., distn, mlen = 1, j = 1, largest = TRUE,
lower.tail = TRUE)
rOrder(n, quantfun, ..., distn, mlen = 1, j = 1, largest = TRUE)x, q |
Vector of quantiles. |
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 specified as an
alternative to |
mlen |
The number of independent variables. |
j |
The Order statistic, taken as the |
largest |
Logical; if |
log |
Logical; if |
lower.tail |
Logical; if |
dOrder gives the density function, pOrder gives the
distribution function and qOrder gives the quantile function
of a selected Order statistic from a sample of size mlen,
from a specified distibution. rOrder generates random deviates.
Alec Stephenson <alec_stephenson@hotmail.com>
dOrder(2:4, dnorm, pnorm, mean = 0.5, sd = 1.2, mlen = 5, j = 2) dOrder(2:4, distn = "norm", mean = 0.5, sd = 1.2, mlen = 5, j = 2) dOrder(2:4, distn = "exp", mlen = 2, j = 2) pOrder(2:4, distn = "exp", rate = 1.2, mlen = 2, j = 2) rOrder(5, qgamma, shape = 1, mlen = 10, j = 2)
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