Geodesic
A note on the Kolmogorov--Marcinkiewicz--Zygmund type strong law of large numbers for elements of autoregression sequences
Teoriâ slučajnyh processov, Tome 22 (2017) no. 1, pp. 22-29

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In the paper we consider the Kolmogorov–Marcinkiewicz–Zygmund type strong law of large numbers for sums whose terms are elements of regression sequences of random variables. Some necessary and sufficient conditions providing SLLN are obtained in terms of coefficients of the regression sequence. Several special cases of regression sequences are considered as well.
Keywords: Kolmogorov–Marcinkiewicz–Zygmund type strong law of large numbers, autoregression sequences of random variables, sums of random variables. 
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     author = {M. K. Ilienko},
     title = {A note on the {Kolmogorov--Marcinkiewicz--Zygmund} type strong law of large numbers for elements of autoregression sequences},
     journal = {Teori\^a slu\v{c}ajnyh processov},
     pages = {22--29},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2017_22_1_a2/}
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M. K. Ilienko. A note on the Kolmogorov--Marcinkiewicz--Zygmund type strong law of large numbers for elements of autoregression sequences. Teoriâ slučajnyh processov, Tome 22 (2017) no. 1, pp. 22-29. http://geodesic.mathdoc.fr/item/THSP_2017_22_1_a2/