Classes of geometrically generalized von Mises distributions. (English) Zbl 1379.60016
Summary: Starting from a norm-contoured or star-shaped, bivariate vector distribution giving rise to a generalized (non-Euclidean) radius coordinate, the conditional density of the polar angle given the fixed radius variable is derived and visualized. A model is fitted to real life data.
MSC:
| 60E05 | Probability distributions: general theory |
Keywords:
conditional offset approach; model fit; directional coordinate; radius coordinate; norm contoured distribution; star-shaped distribution model; polygonally contoured model; non-concentric elliptically contoured model; \(p\)-generalized elliptically contoured model; density generating function; normalizing constant; unimodality; multimodality; symmetry; asymmetry; stochastic representations; process analysis; non-concentric elliptically contoured distributionsReferences:
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