Geodesic
Large deviations for sample paths of Gaussian processes quadratic variations
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 9, Tome 328 (2005), pp. 169-181 Cet article a éte moissonné depuis la source Math-Net.Ru

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We show a functional large deviations principle for the family of random functions $$ \left\{V_n(x)=\sum_{k=1}^{[nx]}(Z_{k/n}-Z_{k-1/n})^2,\ x\in[0,1]\right\}, $$ where $\{Z_t,\,t\in[0,1]\}$ is a real valued centered Gaussian process. 
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O. Perrin; M. Zani. Large deviations for sample paths of Gaussian processes quadratic variations. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 9, Tome 328 (2005), pp. 169-181. http://geodesic.mathdoc.fr/item/ZNSL_2005_328_a9/

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