A CENTRAL LIMIT THEOREM FOR FIELDS OF MARTINGALE DIFFERENCES
Overview & Synopsis
We prove a central limit theorem for stationary random fields of mar-tingale differences f • T i , i ∈ Z d , where T i is a Z d action and the martingale is given by a commuting filtration. The result has been known for Bernoulli random fields; here only ergodicity of one of commuting transformations generating the Z d action is supposed.
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Document Information
| Document Title | A CENTRAL LIMIT THEOREM FOR FIELDS OF MARTINGALE DIFFERENCES |
|---|---|
| Author / Organization | Dalibor Volný |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2015 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-199038 |
| Original Source Link | Visit Source Page on hal.science » |