Geodesic
On large deviation of Durbin's statistic for testing uniformity on the square
Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part VI, Tome 136 (1984), pp. 165-167

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We obtain rough asymptotics for the probabilityes of large deriations of the so-called Durbin's statistic for testing uniformity on the square. This result may be used for evaluating for the Bahadur efficiency. 
@article{ZNSL_1984_136_a12,
     author = {Ya. Yu. Nikitin},
     title = {On large deviation of {Durbin's} statistic for testing uniformity on the square},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {165--167},
     publisher = {mathdoc},
     volume = {136},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_136_a12/}
}
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Ya. Yu. Nikitin. On large deviation of Durbin's statistic for testing uniformity on the square. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part VI, Tome 136 (1984), pp. 165-167. http://geodesic.mathdoc.fr/item/ZNSL_1984_136_a12/