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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Wiley
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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| _version_ | 1832551350360080384 |
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| author | Khurelbaatar Gonchigdanzan |
| author_facet | Khurelbaatar Gonchigdanzan |
| author_sort | Khurelbaatar Gonchigdanzan |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-3fe388c636b14a8b8e6d3f873fd94b3f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3fe388c636b14a8b8e6d3f873fd94b3f2025-02-03T06:01:39ZengWileyInternational 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 |
| spellingShingle | Khurelbaatar Gonchigdanzan Almost sure central limit theorems for strongly mixing and associated random variables International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/S0161171202011626 |
| work_keys_str_mv | AT khurelbaatargonchigdanzan almostsurecentrallimittheoremsforstronglymixingandassociatedrandomvariables |