Almost sure central limit theorems for strongly mixing and associated random variables

Khurelbaatar Gonchigdanzan

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-7

Abstract:

We prove an almost sure central limit theorem (ASCLT) for strongly mixing sequence of random variables with a slightly slow mixing rate α ( n ) = O ( ( log log n ) − 1 − δ ) . We also show that ASCLT holds for an associated sequence of random variables without a stationarity assumption.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:831705

DOI: 10.1155/S0161171202011626

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