This paper examines real factorable double sequences of random variables via fourdimensional matrix transformation. These transformations are used to present Pringsheim limit theorems and matrix characterizations of complete P-convergence. To accomplish this, we have, present a four dimensional weighted mean characterization of Sigma(m,n) P{vertical bar U-m,U-n - E(X)vertical bar >= epsilon} = 1,1 is the four-dimensional triangular transformation k,1=1,1 of the double sequence [X(k,)l(1)] of random variables. Keywords: P-convergent, P-divergent, RH-regular.

WOS: 000326554500010