
Limit theorems are proved by using certain pseudometrics as distances between distributions in the scheme of summation of series of independent random variables with values in a separable Hilbert space.
Sums of independent random variables; random walks, global limit theorems, Limit theorems for vector-valued random variables (infinite-dimensional case), Central limit and other weak theorems
Sums of independent random variables; random walks, global limit theorems, Limit theorems for vector-valued random variables (infinite-dimensional case), Central limit and other weak theorems
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