The Beta distribution

dist_beta(shape1, shape2)

Arguments

shape1, shape2

The non-negative shape parameters of the Beta distribution.

See also

stats::Beta

Examples

dist <- dist_beta(shape1 = c(0.5, 5, 1, 2, 2), shape2 = c(0.5, 1, 3, 2, 5))

dist
#> <distribution[5]>
#> [1] Beta(0.5, 0.5) Beta(5, 1)     Beta(1, 3)     Beta(2, 2)     Beta(2, 5)    
mean(dist)
#> [1] 0.5000000 0.8333333 0.2500000 0.5000000 0.2857143
variance(dist)
#> [1] 0.12500000 0.01984127 0.03750000 0.05000000 0.02551020
skewness(dist)
#> [1]  0.000000 -5.916080  2.581989  0.000000  5.962848
kurtosis(dist)
#> [1] -1.5000000  1.2000000  0.0952381 -0.8571429 -0.1200000

generate(dist, 10)
#> [[1]]
#>  [1] 0.57716209 0.95712676 0.51272391 0.93824073 0.99515628 0.04294426
#>  [7] 0.36260647 0.31435554 0.00302847 0.41149750
#> 
#> [[2]]
#>  [1] 0.8014585 0.7617427 0.7515718 0.9677268 0.8482862 0.6388981 0.8219619
#>  [8] 0.7697629 0.9109772 0.9994124
#> 
#> [[3]]
#>  [1] 0.236336080 0.115627217 0.216302708 0.074413319 0.329727704 0.316671953
#>  [7] 0.244305850 0.241259576 0.120459703 0.001220667
#> 
#> [[4]]
#>  [1] 0.3989083 0.5600205 0.7817342 0.3174363 0.7904692 0.4308882 0.1958695
#>  [8] 0.2407125 0.7796609 0.5371046
#> 
#> [[5]]
#>  [1] 0.39473277 0.05643909 0.34659362 0.62582410 0.33593872 0.40339891
#>  [7] 0.42415031 0.26402567 0.32176762 0.26781893
#> 

density(dist, 2)
#> [1] 0 0 0 0 0
density(dist, 2, log = TRUE)
#> [1] -Inf -Inf -Inf -Inf -Inf

cdf(dist, 4)
#> [1] 1 1 1 1 1

quantile(dist, 0.7)
#> [1] 0.7938926 0.9311499 0.3305670 0.6367425 0.3603577