A logarithm is the power which a certain number is raised to get another number. Before calculators and various types of complex computers were invented it was difficult for scientists and ...

A functional law of the iterated logarithm for time changed Brownian motion is given for stopping times that increase at a geometric rate. This result is applied to various quantities associated with ...

A law of the iterated logarithm is derived for the empirical distribution functions of a sequence of independent identically distributed random variables. Convergence is in the uniform topology on the ...