Moderate Deviation Principle For M-dependent Random Variables

Iii this article, we mainly study sequences of m-dependent random variables and prove the moderate deviation for this kind of sequences.In the first chapter, we give the introduction of this article,introduce m-dependent sequence moderate deviation, large deviation as well as the back ground of our study,and briefly state the main problem of our reach.The second chapter is the main part.In this chapter , we give our main result of the whole article, i.e. the moderate deviation principle for m-dependent sequences under the modified condition. We also state the main lemmas needed when we try to illustrate our main theorems.In the third chapter,we state our proof of the lemmas and the theorems we givce in the second chapter in detail. The key to our proof is the practice of Gartner-Ellis theorem and the manage of the knowledge of mathematical foundation.