Geodesic
Limit theorems for decomposable statistics and efficiencies of the corresponding statistical tests
Diskretnaya Matematika, Tome 3 (1991) no. 3, pp. 73-88.

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We obtain new results on asymptotic expansions in a central limit theorem for decomposable statistics in a generalized allocation scheme and consider applications of these results to the study of the asymptotic efficiency of statistical tests in a multinomial scheme that is based on symmetric decomposable statistics. 
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     title = {Limit theorems for decomposable statistics and efficiencies of the corresponding statistical tests},
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G. I. Ivchenko; Sh. A. Mirakhmedov. Limit theorems for decomposable statistics and efficiencies of the corresponding statistical tests. Diskretnaya Matematika, Tome 3 (1991) no. 3, pp. 73-88. http://geodesic.mathdoc.fr/item/DM_1991_3_3_a7/