On Feller's criterion for the law of the iterated logarithm. (1994)

• Record Type: Journal Article
• Authors: Li, Deli; Rao, M. Bhaskara; Wang, Xiangchen
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 17:Number 2(1994)
• Page Start: 323
• Page End: 340
• Publication Date: 1994
• Subjects: central limit theorem -- Feller's criterion -- law of the iterated logarithm -- non-uniform estimates in the central limit theorem; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171294000463
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : Combining Feller's criterion with a non-uniform estimate result in the context of the Central Limit Theorem for partial sums of independent random variables, we obtain several results on the Law of the Iterated Logarithm. Two of these results refine corresponding results of Wittmann (1985) and Egorov (1971). In addition, these results are compared with the corresponding results of Teicher (1974), Tomkins (1983) and Tomkins (1990)