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

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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. 
@article{ZNSL_2003_298_a15,
     author = {A. V. Tchirina},
     title = {Large deviations for a~class of scale-free statistics under {Gamma} distribution},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {252--279},
     publisher = {mathdoc},
     volume = {298},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a15/}
}
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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/