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This function computes \(D_{KL}(p||q)\), where \(p\sim \text{U}(a_1,b_1)\) and \(q\sim \text{U}(a_2,b_2)\), with \(a_2<a_1<b_1<b_2\).

Usage

kld_uniform(a1, b1, a2, b2)

Arguments

a1, b1

Range of true uniform distribution

a2, b2

Range of approximate uniform distribution

Value

A scalar (the Kullback-Leibler divergence)

Examples

kld_uniform(a1 = 0, b1 = 1, a2 = 0, b2 = 2)
#> [1] 0.6931472