Geodesic
Large deviations for a class of scale-free statistics under Gamma distribution
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 252-279 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study large deviations for sums of functions from Gamma-distributed random values normalized by their sample mean. In particular, large deviations are worked out for several well-known scale-free exponentiality tests such as Moran test and Liliefors test. We also obtain some new results concerning a class of goodness-of-fit tests for the uniform distribution based on spacings. 
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A. V. Tchirina. Large deviations for a class of scale-free statistics under Gamma distribution. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 252-279. http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a15/

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