Geodesic
On convergence of distributions generated by stationary stochastic processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 4, pp. 730-737

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Stationary stochastic processes, satisfying the strong mixing or regularly strong mixing condition are considered. The invariance principle for such processes (under different restrictions) is proved. 
@article{TVP_1968_13_4_a13,
     author = {Yu. A. Davydov},
     title = {On convergence of distributions generated by stationary stochastic processes},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {730--737},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1968_13_4_a13/}
}
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Yu. A. Davydov. On convergence of distributions generated by stationary stochastic processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 4, pp. 730-737. http://geodesic.mathdoc.fr/item/TVP_1968_13_4_a13/