Geodesic
Asymptotic behavior of the $P$-value of the omega square statistic in the goodness-of-fit testing problem
Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 8, Tome 166 (1988), pp. 67-71 
R. S. Leont'ev. Asymptotic behavior of the $P$-value of the omega square statistic in the goodness-of-fit testing problem. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 8, Tome 166 (1988), pp. 67-71. http://geodesic.mathdoc.fr/item/ZNSL_1988_166_a9/
@article{ZNSL_1988_166_a9,
     author = {R. S. Leont'ev},
     title = {Asymptotic behavior of the $P$-value of the omega square statistic in the goodness-of-fit testing problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {67--71},
     year = {1988},
     volume = {166},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_166_a9/}
}
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The paper deals with the theory of $P$-value of nonparametric statistics. The asymptotic lognormality of $P$-value for Cramervon Mises test is proved.