Аннотация:
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.
Ключевые слова:Kolmogorov–Marcinkiewicz–Zygmund type strong law of large numbers, autoregression sequences of random variables, sums of random variables.