boostmath (version 1.4.0)

kolmogorov_smirnov_distribution: Kolmogorov-Smirnov Distribution Functions

Description

Functions to compute the probability density function, cumulative distribution function, and quantile function for the Kolmogorov-Smirnov distribution.

Usage

kolmogorov_smirnov_distribution(n)
kolmogorov_smirnov_pdf(x, n)
kolmogorov_smirnov_lpdf(x, n)
kolmogorov_smirnov_cdf(x, n)
kolmogorov_smirnov_lcdf(x, n)
kolmogorov_smirnov_quantile(p, n)

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.

Arguments

n

sample size (n > 0)

x

quantile

p

probability (0 <= p <= 1)

See Also

Boost Documentation for more details on the mathematical background.

Examples

# Kolmogorov-Smirnov distribution with sample size n = 10
dist <- kolmogorov_smirnov_distribution(10)
# Apply generic functions
cdf(dist, 2)
logcdf(dist, 2)
pdf(dist, 2)
logpdf(dist, 2)
hazard(dist, 2)
chf(dist, 2)
mean(dist)
median(dist)
mode(dist)
range(dist)
quantile(dist, 0.2)
standard_deviation(dist)
support(dist)
variance(dist)
skewness(dist)
kurtosis(dist)
kurtosis_excess(dist)

# Convenience functions
kolmogorov_smirnov_pdf(0.5, 10)
kolmogorov_smirnov_lpdf(0.5, 10)
kolmogorov_smirnov_cdf(0.5, 10)
kolmogorov_smirnov_lcdf(0.5, 10)
kolmogorov_smirnov_quantile(0.5, 10)