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Measures of non-exchangeability for bivariate random vectors

✍ Scribed by Fabrizio Durante; Erich Peter Klement; Carlo Sempi; Manuel Úbeda-Flores

Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
207 KB
Volume
51
Category
Article
ISSN
0932-5026

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A note on maxima of bivariate random vec
A note on maxima of bivariate random vectors
✍ G. Hooghiemstra; J. Hüsler 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 273 KB

For i.i.d, bivariate normal vectors we consider the maxima of the projections with respect to two arbitrary directions. A limit theorem for these maxima is proved for the case that the angle of the two directions approaches zero. The result is generalized to a functional limit theorem.