A two-level directional model for dependence in circular data

被引:2
|
作者
Holmquist, Bjorn [1 ]
Gustafsson, Peter [2 ]
机构
[1] Lund Univ, Dept Stat, Lund, Sweden
[2] Lund Univ, Ctr Math Sci, Lund, Sweden
关键词
Circular distribution; second order analysis; two-level analysis; von Mises distribution; MSC 2010: Primary 62H11; secondary; 62H15; VON MISES DISTRIBUTION; BAYESIAN-ANALYSIS; ORIENTATION; LOCATION; TESTS;
D O I
10.1002/cjs.11345
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We present a likelihood-based test for clustering among sub-population mean directions for circular data. The test is based on a two-level hierarchical model with von Mises distributed variation on each level. The properties of the tests are investigated and compared to the commonly applied techniques of second-order analysis and pseudo-pooling of directions for the situation at hand. Finally we apply the technique to some previously published data sets, to determine the presence of directional clustering among the sub-populations. The Canadian Journal of Statistics 45: 461-478; 2017 (c) 2017 Statistical Society of Canada
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页码:461 / 478
页数:18
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