A note on the almost sure central limit theorem for the product of partial sums of m-dependent random variables

ABSTRACT

We present an almost sure central limit theorem for the product of the partial sums of m-dependent random variables. In order to obtain the main result, we prove a corresponding almost sure central limit theorem for a triangular array.

KEYWORDS:

• Almost sure central limit theorem
• m-dependent random variables
• product.

MATHEMATICS SUBJECT CLASSIFICATION:

• 60F10

Funding

This work is supported by IRTSTHN (14IRTSTHN023), NSFC (11471104).