A general result in almost sure central limit theory for random fields

Abstract

In this note, we investigate, under some mild conditions, the almost sure central limit theorem for random fields with general weight sequences.

Keywords:

• almost sure central limit theorem
• the maxima and partial sums
• random fields

Acknowledgements

The author would like to thank the Editor and two referees for careful reading the paper and for their comments which have led to the improvement of this work and professor Zhengyan Lin of Zhejiang University in China for his help. This work was supported by the Natural Science Research Project of Ordinary Universities in Jiangsu Province, PR China. Grant No. 12KJB110003.