Geodesic
Refined large deviations for von Mises
Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 1, pp. 197-204

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We give sufficient conditions for the large deviations principle of real valued von Mises statistics, improving previous results. As a consequence we obtain sufficient conditions for the large deviations principle for Banach space valued $U$-statistics, improving previous results as well. The proofs are based on large deviations results for stochastic processes due to Arcones and a spectral decomposition of the kernel function of the von Mises statistic and the $U$-statistic, respectively.
Keywords: large deviations, $U$-statistics, von Mises statistics, stochastic processes. 
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     author = {P. Eichelsbacher},
     title = {Refined large deviations for von {Mises}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {197--204},
     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2004_49_1_a14/}
}
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P. Eichelsbacher. Refined large deviations for von Mises. Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 1, pp. 197-204. http://geodesic.mathdoc.fr/item/TVP_2004_49_1_a14/