The Limiting Behavior For The Weighted Sums Of φ-Mixing Sequences

This paper discussed the Limiting behavior for the weighted sums of w-mixing random variables sequences. In the first chapter, the weak law of large numbers and L'-convergence for the weighted sums ofφ-mixing random variables sequences are established. In the second chapter, the complete convergence for the weighted sums ofφ-mixing random variables sequences are obtained. And in the last chapter, the moment complete convergence for the weighted sums ofφ-mixing random variables sequences are showed.