Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617322 | Journal of Mathematical Analysis and Applications | 2012 | 7 Pages |
Abstract
Under the polynomial decay rates and finite second moment, a strong approximation theorem for partial sums of linear positive quadrant dependent Gaussian sequences is derived. As applications, the law of the iterated logarithm, the Chung-type law of the iterated logarithm and the almost sure central limit theorem are obtained with minimal conditions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ke-Ang Fu, Jie Li,