Release of the applicative precondition of subsequence method
Zhao Lian-wen · jOURNAL OF southwest University for Nationalities · 2009
The method of subsequence is an important method which is usually used to prove convergence of the random sequence sum. In this paper, the preconditions of subsequence method are released from the independence sequence to the orthogonal sequence. And the method of almost sure convergence for a series constructed by general random variable sequences is given.