On complete convergence for randomly indexed sums for a case without identical distributions
For an array of non-identically distributed rowwise independent random variables the complete convergence problem for some randomly indexed sums is solved. This problem for sums of identically distributed random variables has been solved by \textit{O. I. Klesov} [Theory Probab. Math. Stat. 39, 75-81 (1989); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 65-71 (1988; Zbl 0667.60037)].
scientific article; zbMATH DE number 1127595