Almost sure central limit theorems for strongly mixing and associated random variables
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((loglogn)−1−δ). We also show that ASCLT holds for an associated sequence of random variables without a stationarity assumption.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202011626 |
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Article |
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doaj-3fe388c636b14a8b8e6d3f873fd94b3f2020-11-25T00:17:14ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129312513110.1155/S0161171202011626Almost sure central limit theorems for strongly mixing and associated random variablesKhurelbaatar Gonchigdanzan0Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, USAWe prove an almost sure central limit theorem (ASCLT) for strongly mixing sequence of random variables with a slightly slow mixing rate α(n)=O((loglogn)−1−δ). We also show that ASCLT holds for an associated sequence of random variables without a stationarity assumption.http://dx.doi.org/10.1155/S0161171202011626 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Khurelbaatar Gonchigdanzan |
| spellingShingle |
Khurelbaatar Gonchigdanzan Almost sure central limit theorems for strongly mixing and associated random variables International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Khurelbaatar Gonchigdanzan |
| author_sort |
Khurelbaatar Gonchigdanzan |
| title |
Almost sure central limit theorems for strongly mixing and associated random variables |
| title_short |
Almost sure central limit theorems for strongly mixing and associated random variables |
| title_full |
Almost sure central limit theorems for strongly mixing and associated random variables |
| title_fullStr |
Almost sure central limit theorems for strongly mixing and associated random variables |
| title_full_unstemmed |
Almost sure central limit theorems for strongly mixing and associated random variables |
| title_sort |
almost sure central limit theorems for strongly mixing and associated random variables |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2002-01-01 |
| description |
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((loglogn)−1−δ). We also
show that ASCLT holds for an associated sequence of random
variables without a stationarity assumption. |
| url |
http://dx.doi.org/10.1155/S0161171202011626 |
| work_keys_str_mv |
AT khurelbaatargonchigdanzan almostsurecentrallimittheoremsforstronglymixingandassociatedrandomvariables |
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1725380387723542528 |