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Figure 4
Equivalent parameterizations of the generalized von Mises distribution of order 2. (a)–(d) Four different instantiations of the GvM2 distribution represented in (left) circular and (right) linear form, as in Fig. 1[link]. Each distribution can be specified using either the expanded expression (1)[link] and the parameters (A, B, C, D) or the order factorized expression (3)[link] and the parameters (μ1, μ2, κ1, κ2). The parameters are given in the table at the bottom of the figure. The derived parameters ρ = κ1/4κ2 and δ = μ1 − μ2 mod(π) are useful for diagnosing the bimodality of the distribution (Salvador & Gatto, 2022aBB23). The vectors internal to the unit circle display the first trigonometric moment of each GvM2 distribution, calculated according to (18)[link].

Journal logoJOURNAL OF
APPLIED
CRYSTALLOGRAPHY
ISSN: 1600-5767
Volume 57| Part 2| April 2024| Pages 492-498
https://doi.org/10.1107/S1600576724000311
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