Evaluate the cumulative distribution function of a Beta distribution

Usage

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

Arguments

d: A Beta object created by a call to Beta().
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 pbeta. 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.

Examples


set.seed(27)

X <- Beta(1, 2)
X
#> [1] "Beta(alpha = 1, beta = 2)"

random(X, 10)
#>  [1] 0.014327255 0.067309943 0.636292291 0.864804440 0.758869543 0.237550867
#>  [7] 0.330895959 0.065843704 0.008265406 0.254705779

pdf(X, 0.7)
#> [1] 0.6
log_pdf(X, 0.7)
#> [1] -0.5108256

cdf(X, 0.7)
#> [1] 0.91
quantile(X, 0.7)
#> [1] 0.4522774

mean(X)
#> [1] 0.3333333
variance(X)
#> [1] 0.05555556
skewness(X)
#> [1] 1.131371
kurtosis(X)
#> [1] -0.6

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