Asymptotic properties of the norm of extremum values of normal random elements in the space C[0, 1]
We prove that $$\mathop {\lim }\limits_{n \to \infty } \left( {\left\| {Z_n } \right\| - (2 ln (n))^{1/2} \left\| \sigma \right\|} \right) = 0 a.s.,$$ where X is a normal random element in the space C [0,1], MX = 0, σ = {(M¦X(t)¦2)1/2 t∈[0,1}, (X n ) are independent copies of X, and \(Z_n = \...
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| Date: | 1998 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4838 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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