Table 3 Entropy of some important distributions

Uniform [38]

\(p(\theta) = \frac {1}{b-a}\)

h=ld(b−a)

Normal [38]

\(p(\theta) = \frac {e^{(-{\theta }/{2\sigma ^{2}})}}{\sqrt {2\pi \sigma ^{2}}}\)

\(h = \frac {1}{2} \text {ld}\left (2 \pi e \sigma ^{2} \right)\)

von Mises [39]

\(p(\theta) = \frac {e^{\kappa \cos (\theta)}}{2\pi I_{0}(\kappa)}\)

\(h = -\kappa \frac {I_{1}(\kappa)}{I_{0}(\kappa)} + \text {ld}\left (2\pi I_{0}(\kappa) \right) \)