Article ID Journal Published Year Pages File Type
4617322 Journal of Mathematical Analysis and Applications 2012 7 Pages PDF
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
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