Abstract
Let p and q be complex sequences which belong to SVA. Assume that s is a double sequence in C (in one of R, a Banach space, and a ordered linear space) such that s statistically converges to t in the (N,p,q;a,b) sense, where (a,b)=(1,1), (1,0) or (0,1). We give sufficient and/or necessary conditions under which s statistically converges to t. The theory developed here is the statistical version of [CH]. Our results generalize [M1].