Confidence regions for the mean direction of the von Mises-Fisher distribution. (English) Zbl 1062.62095
Summary: Explicit expressions are given for the confidence regions for the mean direction of the von Mises-Fisher distribution based on asymptotic expansions with large sample size, high concentration and high dimension. Simulation studies show that these confidence regions have acceptable accuracies in many situations.
MSC:
| 62H11 | Directional data; spatial statistics |
| 62F12 | Asymptotic properties of parametric estimators |
| 62F25 | Parametric tolerance and confidence regions |
References:
| [1] | DOI: 10.1093/biomet/72.3.637 · Zbl 0599.62058 · doi:10.1093/biomet/72.3.637 |
| [2] | DOI: 10.2307/2291725 · Zbl 0882.62048 · doi:10.2307/2291725 |
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| [4] | DOI: 10.1007/BF00050842 · Zbl 0712.62053 · doi:10.1007/BF00050842 |
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| [6] | Watamori Y., Hiroshima Math. J. 26 pp 25– (1996) |
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