Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/84943
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Arab, Idir | - |
dc.contributor.author | Oliveira, Paulo | - |
dc.date.accessioned | 2019-02-19T23:24:26Z | - |
dc.date.available | 2019-02-19T23:24:26Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 0868-6904 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/84943 | - |
dc.description.abstract | We consider a special class of weak dependent random variables with control on covariances of Lipschitz transformations. This class includes, but is not limited to, positively, negatively associated variables and a few other classes of weakly dependent structures. We prove the Strong Law of Large Numbers with the characterization of convergence rates which is almost optimal, in the sense that it is arbitrarily close to the optimal rate for independent variables. Moreover, we prove an inequality comparing the joint distributions with the product distributions of the margins, similar to the well known Newman's inequality for characteristic functions of associated variables. As a consequence, we prove the Central Limit Theorem together with its functional counterpart, and also the convergence of the empirical process for this class of weak dependent variables. | pt |
dc.language.iso | por | pt |
dc.rights | openAccess | pt |
dc.subject | Central Limit Theorem | pt |
dc.subject | Convergence rate | pt |
dc.subject | L-weak dependence | pt |
dc.subject | Strong law of large numbers | pt |
dc.title | ASYMPTOTIC RESULTS FOR CERTAIN WEAK DEPENDENT VARIABLES | pt |
dc.type | article | - |
degois.publication.firstPage | 19 | pt |
degois.publication.lastPage | 36 | pt |
degois.publication.issue | 99 | pt |
degois.publication.location | Kiev | pt |
degois.publication.title | Theory of Probability and Mathematical Statistics | pt |
dc.peerreviewed | yes | pt |
degois.publication.volume | 2 | pt |
dc.date.embargo | 2018-01-01 | * |
dc.date.periodoembargo | 0 | pt |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | pt | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
crisitem.author.orcid | 0000-0001-7217-5705 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
slln_quasi_v8_tims.pdf | artigo | 371.74 kB | Adobe PDF | View/Open |
Page view(s)
220
checked on Oct 22, 2024
Download(s)
283
checked on Oct 22, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.