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Chi-Square Distribution

Source: R/distributions.R
chi2distribution.Rd

Density, cumulative distribution function and random generation for chi-square distribution.

Usage

density_chi2(df, x)

cdf_chi2(df, x)

random_chi2(df, n)

Arguments

df

degrees of freedom.

x

vector of quantiles.

n

number of observations.

Value

numeric vector

Functions density_XXX and cdf_XXX return numeric vectors of same length as x. Function random_XXX returns a numeric vector of length n.

Examples

# Probability density function for a Chi-Square distribution with 3 degrees of freedom.
z <-density_chi2(df = 3,.01 * seq(-100, 100, 1))

# Computing the probability that the random variable X following a Chi-Square distribution
# with df degrees of freedom is lower than x
cdf_chi2(df = 3, x= 1:10)
#>  [1] 0.1987480 0.4275933 0.6083748 0.7385359 0.8282029 0.8883898 0.9281022
#>  [8] 0.9539883 0.9707091 0.9814339

# Generating a random vector with each component drawn from a Chi-square distribution
# with df degrees of freedom
z <- random_chi2(df = 3, n = 10)