On a theorem of Rosenblatt
In a largely overlooked paper of Murray Rosenblatt from more than thirty years ago, it was shown that if a strictly stationary Markov chain satisfies "uniform ergodicity" as well as mixing (in the ergodic-theoretic sense), then it satisfies the (Rosenblatt) strong mixing condition. In this...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2009
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| Sorozat: | Acta scientiarum mathematicarum
75 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16306 |
| Tartalmi kivonat: | In a largely overlooked paper of Murray Rosenblatt from more than thirty years ago, it was shown that if a strictly stationary Markov chain satisfies "uniform ergodicity" as well as mixing (in the ergodic-theoretic sense), then it satisfies the (Rosenblatt) strong mixing condition. In this note, a strengthened version of that theorem will be presented. As a by-product, a couple of other, somewhat hidden, insights in that paper of Rosenblatt will be brought into sharper focus. |
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| Terjedelem/Fizikai jellemzők: | 347-359 |
| ISSN: | 0001-6969 |