Abstract:

The authors studied the complete convergence for weighted sums of ρ^--mixing random variables sequence without assumption of identical distribution via truncation method for ρ^--mixing random variables sequence, Hlder inequality, Markov inequality, Jensen inequality, Cr inequality, moment inequality and Rosenthal inequality. As an example of application, we further extended the MarcinkiewiczZygmund type strong law of large numbers
for weighted sums of ρ^--mixing random variables sequence with the aid of Borel-Cantelli lemma.

Key words: ρ^--mixing random variables sequence, complete convergence, MarcinkiewiczZygmund type strong law of large numbers