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...
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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 |
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| 100 | 1 | |a Bradley Richard C. | |
| 245 | 1 | 3 | |a On a theorem of Rosenblatt |h [elektronikus dokumentum] / |c Bradley Richard C. |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2009 | ||
| 300 | |a 347-359 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 75 No. 1-2 | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/16306/1/math_075_numb_001_002_347-359.pdf |z Dokumentum-elérés |