Self-normalized processes arise naturally in statistical applications. Being unit free, they are not affected by scale changes. Moreover, self-normalization often eliminates or weakens moment ...

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 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 ...

Mathematics is a fascinating subject to some people, but a horror to most. Formulas and rules abound to govern purely abstract relationships that appear alien to ordinary life. Yet, mathematical laws ...