The wrapped skew-normal distribution on the circle

被引:49
作者
Pewsey, A [1 ]
机构
[1] Univ Extremadura, Escuela Politecn, Dept Matemat, Caceres 10071, Spain
关键词
bird flight headings; circular model; computer intensive methods; large-sample theory; method of moments; skew-normal distribution; skewness;
D O I
10.1080/03610920008832616
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
The wrapped skew-normal distribution is proposed as a model for circular data. Basic results for the distribution are established and estimation for a circular parametrisation of it considered. Procedures based on the sample second central sine moment for testing for departures from three important limiting cases of the distribution are described. The model and some new inferential techniques are applied to directional data from a study into bird migration.
引用
收藏
页码:2459 / 2472
页数:14
相关论文
共 16 条
[1]   Statistical applications of the multivariate skew normal distribution [J].
Azzalini, A ;
Capitanio, A .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1999, 61 :579-602
[2]   The multivariate skew-normal distribution [J].
Azzalini, A ;
DallaValle, A .
BIOMETRIKA, 1996, 83 (04) :715-726
[3]  
AZZALINI A, 1985, SCAND J STAT, V12, P171
[4]  
BARNDORFFNIELSEN O, 1979, J ROY STAT SOC B MET, V41, P279
[5]  
Batschelet E., 1981, CIRCULAR STAT BIOL
[6]  
Batschelet E., 1965, AM I BIOL SCI
[7]  
Bruderer B., 1990, P60
[8]  
FISHER NI, 1984, BIOMETRIKA, V71, P655
[9]  
FISHER NI, 1983, BIOMETRIKA, V70, P333
[10]  
FISHER NI, 1994, STAT ANAL CIRCULAR D