In this paper, we study the asymptotic properties of the upper and lower tail probabilities of the maximum local time L*(t) of Wiener process (Brownian motion), and obtain some precise asymptotics in the law of the iterated logarithm and the Chungs-type laws of the iterated logarithm for the...

Let {Yi; -[infinity] i [infinity]} be a doubly infinite sequence of identically distributed and [phi]-mixing random variables, {ai; -[infinity] i [infinity]} an absolutely summable sequence of real numbers. In this paper, we prove the complete convergence of {[summation operator]k=1n...