Geodesic
Multidimensional Version of a Result of Sakhanenko in the Invariance Principle for Vectors with Finite Exponential Moments. III
Teoriâ veroâtnostej i ee primeneniâ, Tome 46 (2001) no. 4, pp. 744-769 Cet article a éte moissonné depuis la source Math-Net.Ru

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A multidimensional version of a result of Sakhanenko for the Gaussian approximation of sequences of successive sums of independent nonidentically distributed random vectors with finite exponential moments is obtained.
Keywords: multidimensional invariance principle, strong approximation, sums of independent nonidentically distributed random vectors. 
@article{TVP_2001_46_4_a7,
     author = {A. Yu. Zaitsev},
     title = {Multidimensional {Version} of a {Result} of {Sakhanenko} in the {Invariance} {Principle} for {Vectors} with {Finite} {Exponential} {Moments.~III}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {744--769},
     year = {2001},
     volume = {46},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2001_46_4_a7/}
}
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A. Yu. Zaitsev. Multidimensional Version of a Result of Sakhanenko in the Invariance Principle for Vectors with Finite Exponential Moments. III. Teoriâ veroâtnostej i ee primeneniâ, Tome 46 (2001) no. 4, pp. 744-769. http://geodesic.mathdoc.fr/item/TVP_2001_46_4_a7/