Strong law of large numbers for scalar-normed
sums of elements of regressive sequences of
random variables

Abstract. The necessary and sufficient conditions providing the strong law of large numbers for scalar-normed sums of elements of first-order regressive sequences of random variables with independent and symmetric disturbance are studied.

Key words and phrases. Strong laws of large numbers for sums of random variables, regressive and autoregressive sequences of random variables, sums of independent random elements with operator normalization.