Limit theorems for weighted Bernoulli random fields under Hannan's condition

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12510%2F16%3A43890360" target="_blank" >RIV/60076658:12510/16:43890360 - isvavai.cz</a>
Result on the web
<a href="http://authors.elsevier.com/a/1SrC615DqUtuDX" target="_blank" >http://authors.elsevier.com/a/1SrC615DqUtuDX</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.spa.2015.12.006" target="_blank" >10.1016/j.spa.2015.12.006</a>

Result language
angličtina
Original language name
Limit theorems for weighted Bernoulli random fields under Hannan's condition
Original language description
Recently, invariance principles for partial sums of Bernoulli random fields over rectangular index sets have been proved under Hannan's condition. In this note we complement previous results by establishing limit theorems for weighted Bernoulli random fields, including central limit theorems for partial sums over arbitrary index sets and invariance principles for Gaussian random fields. Most results improve earlier ones on Bernoulli random fields under Wu's condition, which is stronger than Hannan's condition.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Project
<a href="/en/project/GPP201%2F11%2FP164" target="_blank" >GPP201/11/P164: Martingale approximations and U-statistics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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