This article is cited in 1 paper

Necessary convergence conditions for series $\sum a_nS_n$ in the case of identically distributed independent random quantities

V. F. Gaposhkin


Abstract: Necessary (in some cases also sufficient) conditions are obtained for convergence of the series $\sum a_nS_n$ where $S_n=\sum_1^n\xi_k$, $\xi_k$ are independent random quantities. The cases in which $\xi_k$ are symmetrical or identically distributed quantities are investigated in more detail.

UDC: 517

Received: 25.03.1975

 English version: Mathematical Notes, 1976, 20:4, 852–857

Bibliographic databases:

• 
•