Complete Moment Convergence And Law Of Iterated Logarithm For Sequence Of Identically Distributed ρ~-Mixing Random Variables

This thesis discusses the Complete Moment Convergence and Law of Iterated Logarithm for sequence of Identically Distributed p- -Mixing Random Variables. In the first chapter, the sufficient and necessary conditions of Complete Moment Convergence for sequence of identically distributed p-Mixing Random Variables are obtained. In the second chapter, the sufficient and necessary conditions of Law of Iterated Logarithm of Identically Distributed p- -Mixing Random Variables are attained. And in the last chapter, on Moments of the Maximum of Normed Partial Sums of p-Mixing Random Variables are studied.