Order {DescTools}R Documentation

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.


Number of observations.

densfun, distnfun, quantfun

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.


Alec Stephenson <alec_stephenson@hotmail.com>

See Also

rExtrVal, rGenExtrVal


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)

[Package DescTools version 0.99.51 Index]