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- W2618736734 abstract "We define a distribution on the unit sphere $$mathbb {S}^{d-1}$$ called the elliptically symmetric angular Gaussian distribution. This distribution, which to our knowledge has not been studied before, is a subfamily of the angular Gaussian distribution closely analogous to the Kent subfamily of the general Fisher–Bingham distribution. Like the Kent distribution, it has ellipse-like contours, enabling modelling of rotational asymmetry about the mean direction, but it has the additional advantages of being simple and fast to simulate from, and having a density and hence likelihood that is easy and very quick to compute exactly. These advantages are especially beneficial for computationally intensive statistical methods, one example of which is a parametric bootstrap procedure for inference for the directional mean that we describe." @default.
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- W2618736734 date "2017-05-22" @default.
- W2618736734 modified "2023-09-26" @default.
- W2618736734 title "An elliptically symmetric angular Gaussian distribution" @default.
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- W2618736734 doi "https://doi.org/10.1007/s11222-017-9756-4" @default.
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