Evaluate the cumulative distribution function of a Tukey distribution

Evaluate the cumulative distribution function of a Tukey distribution

Usage

# S3 method for class 'Tukey'
cdf(d, x, drop = TRUE, elementwise = NULL, ...)

Arguments

d

A Tukey distribution created by a call to Tukey().

x

A vector of elements whose cumulative probabilities you would like to determine given the distribution d.

drop

logical. Should the result be simplified to a vector if possible?

elementwise

logical. Should each distribution in d be evaluated at all elements of x (elementwise = FALSE, yielding a matrix)? Or, if d and x have the same length, should the evaluation be done element by element (elementwise = TRUE, yielding a vector)? The default of NULL means that elementwise = TRUE is used if the lengths match and otherwise elementwise = FALSE is used.

...

Arguments to be passed to ptukey. Unevaluated arguments will generate a warning to catch mispellings or other possible errors.

Value

In case of a single distribution object, either a numeric vector of length probs (if drop = TRUE, default) or a matrix with length(x) columns (if drop = FALSE). In case of a vectorized distribution object, a matrix with length(x) columns containing all possible combinations.

See also

Other Tukey distribution: quantile.Tukey()

Examples

set.seed(27)

X <- Tukey(4L, 16L, 2L)
X
#> [1] "Tukey(nmeans = 4, df = 16, nranges = 2)"

cdf(X, 4)
#> [1] 0.9009192
quantile(X, 0.7)
#> [1] 3.075961