Geodesic
On the Rate of Convergence for the Invariance Principle
Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 2, pp. 217-234

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In this paper, estimates obtained in [2], [3], [4] are strengthened and generalized. It is also shown that these estimates can not be essentially improved by any of the existing methods. 
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     author = {A. A. Borovkov},
     title = {On the {Rate} of {Convergence} for the {Invariance} {Principle}},
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A. A. Borovkov. On the Rate of Convergence for the Invariance Principle. Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 2, pp. 217-234. http://geodesic.mathdoc.fr/item/TVP_1973_18_2_a0/