Sharp small ball asymptotics for Slepian and Watson processes in Hilbert norm
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 120-128
Ya. Yu. Nikitin; E. Orsingher. Sharp small ball asymptotics for Slepian and Watson processes in Hilbert norm. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 120-128. http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a9/
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     author = {Ya. Yu. Nikitin and E. Orsingher},
     title = {Sharp small ball asymptotics for {Slepian} and {Watson} processes in {Hilbert} norm},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a9/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We find the exact asymptotic behavior of small ball probabilities in Hilbert norm for the simplest form of Slepian process and for the Watson process appearing in nonparametric Statistics.

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