Shannon Entropy of the Beta-Danish Distribution

Computes the differential Shannon entropy \(H(f) = -\int_0^\infty f(t) \log f(t)\, dt\) for the four-parameter Beta-Danish distribution by adaptive Gauss-Kronrod quadrature on the log-pdf.

Usage

bd_entropy_shannon(a, b, c, k, subdivisions = 2000, rel.tol = 1e-08)

Arguments

a, b, c, k

Positive parameters of the Beta-Danish distribution.

subdivisions, rel.tol

Passed to stats::integrate.

Value

Scalar Shannon entropy (in nats); NA_real_ on integration failure.

Examples

bd_entropy_shannon(a = 1.5, b = 2.5, c = 2, k = 1)
#> [1] 1.736391