Geodesic
The Central Limit Theorem for Generalized Canonical von~Mises Statistics
Matematičeskie trudy, Tome 4 (2001) no. 1, pp. 3-17

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We prove the central limit theorem for normalized von Mises statistics based on an array of degenerate kernel functions. 
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     author = {I. S. Borisov and L. A. Sakhanenko},
     title = {The {Central} {Limit} {Theorem} for {Generalized} {Canonical} {von~Mises} {Statistics}},
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I. S. Borisov; L. A. Sakhanenko. The Central Limit Theorem for Generalized Canonical von~Mises Statistics. Matematičeskie trudy, Tome 4 (2001) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/MT_2001_4_1_a0/