同分布NA列的停时和与超出的完全收敛性

ON COMPLETE CONVERGENCE OF STOPPED SUM AND OVERSHOOT OF IDENTICALLY DISTRIBUTED NA SEQUENCES

通过同分布 Ｎ Ａ 列的非随机和的完全收敛性的等价条件，得到了同分布 Ｎ Ａ 列的随机和的完全收敛性结果，并用以讨论“停时和”与“超出”的完全收敛性，得到了与 ｉｉｄ 列的完全类似的结果．

A series of results about complete convergence of random sums of identically distributed NA sequences are obtained through equivalent conditions of complete convergence of nonrandom sums of identically distributed NA sequences,and a series of results completely corresponding to iid sequences are also obtained through discussing complete convergence of “stopped sum” and “overshoot”.