平稳 NA序列的中偏差原理(英文)

MODERATE DEVIATIONS PRINCIPLE FOR STATIONARY NEGATIVELY ASSOCIATED SEQUENCES

设 { Xn;n≥ 1} 是平稳 NA序列 .假设 X1具有有限的指数阶矩及其它适当条件 ,本文利用 Cramer方法及分块技术 ,证明了 { Xn;n≥ 1}的部分和序列满足中偏差原理 .

Given a stationary NA sequence {X n; n≥1} . Suppose that X 1 has a finite exponential moment and satisfies some other mild conditions, using Cramers method and blocking technique, we prove the moderate deviation principles for {X n; n≥1 }.