Order.RdDensity 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)Vector of quantiles.
Number of observations.
Density, distribution and
quantile function of the specified distribution. The density
function must have a log argument (a simple wrapper
can always be constructed to achieve this).
Parameters of the specified distribution.
A character string, optionally specified as an
alternative to densfun, distnfun and quantfun
such that the density, distribution and quantile functions are
formed upon the addition of the prefixes d, p and
q respectively.
The number of independent variables.
The Order statistic, taken as the jth largest
(default) or smallest of mlen, according to the value of
largest.
Logical; if TRUE (default) use the jth
largest Order statistic, otherwise use the jth smallest.
Logical; if TRUE, the log density is returned.
Logical; if TRUE (default) probabilities
are P[X <= x], otherwise P[X > x].
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.
dOrder(2:4, dnorm, pnorm, mean = 0.5, sd = 1.2, mlen = 5, j = 2)
#> [1] 0.2300687782 0.0133524232 0.0001663078
dOrder(2:4, distn = "norm", mean = 0.5, sd = 1.2, mlen = 5, j = 2)
#> [1] 0.2300687782 0.0133524232 0.0001663078
dOrder(2:4, distn = "exp", mlen = 2, j = 2)
#> [1] 0.0366312778 0.0049575044 0.0006709253
pOrder(2:4, distn = "exp", rate = 1.2, mlen = 2, j = 2)
#> [1] 0.9917703 0.9992534 0.9999323
rOrder(5, qgamma, shape = 1, mlen = 10, j = 2)
#> [1] 2.249505 1.141041 1.598620 2.612313 1.917155