The Statistics of Orientation Data
The Statistics of Orientation Data
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DOI：
10.1086/627211
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发表时间：
1966-09
期刊：
影响因子：
--
通讯作者：
G. Watson
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文献类型：
--
作者：
G. Watson
本文为描述和分析方向数据的统计方法提供了关键参考和总结。本文的大部分内容涉及作者对二维和三维单位向量方差过程的近似分析。该过程基于与 exp (κ cos θ) 成比例的概率密度，其中 κ 是精度参数，θ 是真实方向与观察方向之间的角度。简要说明了 exp ($$κ cos^{2}θ$$) 的理论及其推广；这对于轴向数据可能有用。
This paper provides the key references for, and a summary of, statistical methods for describing and analyzing orientation data. Most of the paper is concerned with the author's approximate analysis of variance procedures for unit vectors in two and three dimensions. The procedures are based on probability density proportional to exp (κ cos θ), where κ is an accuracy parameter and θ is the angle between the true and the observed directions. A brief account of the theory for exp ($$κ cos^{2}θ$$) and its generalization is given; this may be useful for axial data.