Almost sure limit theorems for the maxima of some strongly dependent Gaussian sequences

Almost Sure Limit Theorems for Multivariate General Standard Normal Sequences and Applications

“…e almost sure central limit theorems for the maximum of the multivariate normal sequences are complete. Simulating the almost sure convergence for the maxima, which visually describe the theorems, is not performed in previous papers [12,13,15,16,[23][24][25][26]. To construct a suitable standardized nonstationary normal sequence is the key to the simulation.…”