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Approximating the tail of the Anderson–Darling distribution

✍ Scribed by Adam W. Grace; Ian A. Wood


Book ID
113557849
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
407 KB
Volume
56
Category
Article
ISSN
0167-9473

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Tail probabilities of the limiting null
✍ Satoshi Kuriki; Akimichi Takemura 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 374 KB

For the purpose of testing the spherical uniformity based on i.i.d. directional data (unit vectors) z i ; i ¼ 1; y; n; Anderson and Stephens (Biometrika 59 (1972) 613-621) proposed testing procedures based on the statistics S max ¼ max u SðuÞ and S min ¼ min u SðuÞ; where u is a unit vector and nSðu