Let be a sequence of independent and identically distributed (i.i.d.
) random variables D Rings and denote ,.In this paper, we investigate the almost sure central limit theorem in the joint version for the maxima and sums.If for some numerical sequences , we have for a nondegenerate distribution , and is a bounded Lipschitz 1 function, then Ball - Sticks almost surely, where stands for the standard normal distribution function, ,and ,.