A New Proof of the Hartman-Wintner Law of the Iterated Logarithm
Alejandro D. de Acosta · The Annals of Probability · 1983
A new proof of the Hartman-Wintner law of the iterated logarithm is given. The main new ingredient is a simple exponential inequality. The same method gives a new, simpler proof of a basic result of Kuelbs on the LIL in the Banach space setting.