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Teoriya Veroyatnostei i ee Primeneniya, 2012, Volume 57, Issue 4, Pages 724–743
DOI: https://doi.org/10.4213/tvp4476
(Mi tvp4476)
 

A simple approach in limit theorems for linear random processes and fields with continuous time

Yu. Davydova, V. Paulauskasb

a Université de Lille
b The Faculty of Mathematics and Informatics, Vilnius University
References:
Abstract: We consider random linear processes and fields with continuous time or space argument and demonstrate how the analogue of Beveridge–Nelson decomposition can be applied to prove limit theorems for integrals of such processes and fields.
Keywords: limit theorems; linear random processes and fields; Beveridge–Nelson decomposition.
Received: 09.04.2012
English version:
Theory of Probability and its Applications, 2013, Volume 57, Issue 4, Pages 589–606
DOI: https://doi.org/10.1137/S0040585X97986229
Bibliographic databases:
Document Type: Article
MSC: 60
Language: English
Citation: Yu. Davydov, V. Paulauskas, “A simple approach in limit theorems for linear random processes and fields with continuous time”, Teor. Veroyatnost. i Primenen., 57:4 (2012), 724–743; Theory Probab. Appl., 57:4 (2013), 589–606
Citation in format AMSBIB
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  • https://doi.org/10.4213/tvp4476
  • https://www.mathnet.ru/eng/tvp/v57/i4/p724
  • Citing articles in Google Scholar: Russian citations, English citations
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    Теория вероятностей и ее применения Theory of Probability and its Applications
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