@Article{CMR-28-4, author = {Zou, Guangyu and Zhang, Yong}, title = {An Almost Sure Central Limit Theorem for Weighted Sums of Mixing Sequences}, journal = {Communications in Mathematical Research }, year = {2012}, volume = {28}, number = {4}, pages = {359--366}, abstract = {
In this paper, we prove an almost sure central limit theorem for weighted sums of mixing sequences of random variables without stationary assumptions. We no longer restrict to logarithmic averages, but allow rather arbitrary weight sequences. This extends the earlier work on mixing random variables.
}, issn = {2707-8523}, doi = {https://doi.org/2012-CMR-19039}, url = {https://global-sci.com/article/81848/an-almost-sure-central-limit-theorem-for-weighted-sums-of-mixing-sequences} }