On the monotonicity of exact upper sequences for sums of independent random vectors in Hilbert space. (Russian) Zbl 0645.60009

Vvedenskaya, E. R.

Teor. Veroyatn. Primen. 33, No. 1, 159-163 (1988).

Some propositions from the author’s previous paper in ibid. 29, No.3, 597-599 (1984; Zbl 0565.60007), are strengthened.

Reviewer: Z.G.Gorgadze

MSC:

60B12

Limit theorems for vector-valued random variables (infinite-dimensional case)

Keywords:

sums of independent random variables; exact upper sequences