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Matematicheskie Zametki, 2014, Volume 95, Issue 2, Pages 209–221
DOI: https://doi.org/10.4213/mzm9375 (Mi mzm9375) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Central Limit Theorem for Integrals with Respect to Random Measures

V. P. Demichev

M. V. Lomonosov Moscow State University
Full-text PDF (541 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm9375
Abstract: Integrals with respect to stationary random measures are considered. A central limit theorem for such integrals is proved. The results are applied to obtain a functional central limit theorem for transformed solutions of the Burgers equation with random initial data.
Keywords: central limit theorem, integral with respect to a stationary random measure, Burgers equation with random initial data.
Received: 02.04.2012
Revised: 10.12.2012
English version:
Mathematical Notes, 2014, Volume 95, Issue 2, Pages 193–203
DOI: https://doi.org/10.1134/S0001434614010209
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: V. P. Demichev, “A Central Limit Theorem for Integrals with Respect to Random Measures”, Mat. Zametki, 95:2 (2014), 209–221; Math. Notes, 95:2 (2014), 193–203
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    1. X. Lu, X. Cui, Y. Zhang, F. Yin, “Construction of confidence intervals for distributed parameter processes under noise”, IEEE Access, 6 (2018), 37748–37757  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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