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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)
References:
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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  • https://doi.org/10.4213/mzm9375
  • https://www.mathnet.ru/eng/mzm/v95/i2/p209
  • This publication is cited in the following 1 articles:
    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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    Abstract page:438
    Full-text PDF :85
    References:69
    First page:30
     
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