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On Standardness and I-cosiness
| Content Provider | Semantic Scholar |
|---|---|
| Author | Laurent, Stéphane |
| Copyright Year | 2011 |
| Abstract | The object of study of this work is the invariant characteristics of filtrations in discrete, negative time, pioneered by Vershik. We prove the equivalence between I-cosiness and standardness without using Vershik’s standardness criterion. The equivalence between I-cosiness and productness for homogeneous filtrations is further investigated by showing that the I-cosiness criterion is equivalent to Vershik’s first level criterion separately for each random variable. We also aim to derive the elementary properties of both these criteria, and to give a survey and some complements on the published and unpublished literature. |
| Starting Page | 127 |
| Ending Page | 186 |
| Page Count | 60 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/978-3-642-15217-7_5 |
| Volume Number | 2006 |
| Alternate Webpage(s) | http://orbi.ulg.ac.be/bitstream/2268/77777/1/Cosiness_Standardness.pdf |
| Alternate Webpage(s) | https://sites.uclouvain.be/IAP-Stat-Phase-V-VI/ISBApub/dp2009/DP0914.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/978-3-642-15217-7_5 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
