Strong laws for delayed sums of random fields
We consider random fields with iid random variables and prove strong laws for delayed sums, i.e., sums over rectangular blocks of these random variables. We show that strong laws hold iff appropriate moment conditions are satisfied. These moment conditions depend on the size and shape of the blocks...
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. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16330 |
| Tartalmi kivonat: | We consider random fields with iid random variables and prove strong laws for delayed sums, i.e., sums over rectangular blocks of these random variables. We show that strong laws hold iff appropriate moment conditions are satisfied. These moment conditions depend on the size and shape of the blocks on which the delayed sums are based. |
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| Terjedelem/Fizikai jellemzők: | 723-737 |
| ISSN: | 0001-6969 |