Almost Sure Local Limit Theorems with Rate

作者：Giuliano Antonini Rita; Weber Michel^*

来源：Stochastic Analysis and Applications, 2011, 29(5): 779-798.

DOI：10.1080/07362994.2011.598787

• Local limit theorem
• Almost sure version
• i.i.d. random variables
• Lattice distributed random variables

We establish almost sure versions, with rate, of the local limit theorem for lattice distributed random variables. We also prove a new delicate correlation inequality for sums of i.i.d. lattice distributed random variables.

• 出版日期2011