Geodesic
Local visitation measures for some sequences of random variables with
Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 1, pp. 155-164

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For the sequence of equally distributed random variables $\{x_n,\ n\ge 1\}$, satisfying some mixing condition, the local visitation measures of the sequences $\{x_n/a_n,\ n\ge 1\}$ are considered with various real sequences $\{a_n,\ n\ge 1\}$ tending monotonically to 0. We give sufficient conditions for the measures $\{\sum_{k=1}^n P(x_k/a_k)^{-1},\ n\ge 1\}$ to be the local visitation measures for $\{x_n/a_n,\ n\ge 1\}$ with probability 1.
Keywords: local visitation measures, mixing. 
@article{TVP_2004_49_1_a8,
     author = {M. A. Vlasenko},
     title = {Local visitation measures for some sequences of random variables with},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {155--164},
     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2004_49_1_a8/}
}
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M. A. Vlasenko. Local visitation measures for some sequences of random variables with. Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 1, pp. 155-164. http://geodesic.mathdoc.fr/item/TVP_2004_49_1_a8/