Functions to compute the probability density function, cumulative distribution function, and quantile function for the Uniform distribution.
Usage
uniform_distribution(lower = 0, upper = 1)
uniform_pdf(x, lower = 0, upper = 1)
uniform_lpdf(x, lower = 0, upper = 1)
uniform_cdf(x, lower = 0, upper = 1)
uniform_lcdf(x, lower = 0, upper = 1)
uniform_quantile(p, lower = 0, upper = 1)Value
A single numeric value with the computed probability density, log-probability density, cumulative distribution, log-cumulative distribution, or quantile depending on the function called.
See also
Boost Documentation for more details on the mathematical background.
Examples
# Uniform distribution with lower = 0, upper = 1
dist <- uniform_distribution(0, 1)
# Apply generic functions
cdf(dist, 0.5)
#> [1] 0.5
logcdf(dist, 0.5)
#> [1] -0.6931472
pdf(dist, 0.5)
#> [1] 1
logpdf(dist, 0.5)
#> [1] 0
hazard(dist, 0.5)
#> [1] 2
chf(dist, 0.5)
#> [1] 0.6931472
mean(dist)
#> [1] 0.5
median(dist)
#> [1] 0.5
mode(dist)
#> [1] 0
range(dist)
#> [1] -1.797693e+308 1.797693e+308
quantile(dist, 0.2)
#> [1] 0.2
standard_deviation(dist)
#> [1] 0.2886751
support(dist)
#> [1] 0 1
variance(dist)
#> [1] 0.08333333
skewness(dist)
#> [1] 0
kurtosis(dist)
#> [1] 1.8
kurtosis_excess(dist)
#> [1] -1.2
# Convenience functions
uniform_pdf(0.5)
#> [1] 1
uniform_lpdf(0.5)
#> [1] 0
uniform_cdf(0.5)
#> [1] 0.5
uniform_lcdf(0.5)
#> [1] -0.6931472
uniform_quantile(0.5)
#> [1] 0.5