Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoriya Veroyatnostei i ee Primeneniya, 2018, Volume 63, Issue 3, Pages 520–544
DOI: https://doi.org/10.4213/tvp5148 (Mi tvp5148) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Lamperti-type theorems for random fields

Y. Davydovab, V. Paulauskasc

a Université Lille 1, Laboratoire Paul Painlevé, Lille, France
b St. Petersburg University, St. Petersburg, Russia
c Department of Mathematics and Informatics, Vilnius University, Vilnius, Lithuania
Full-text PDF (606 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tvp5148
Abstract: Lamperti-type theorems for random fields are presented. Together with known results, some new results are put forward on $\mathbf{R}^m$-valued self-similar fields $\{\mathbf{X}(\mathbf{t}),\, \mathbf{t} \in \mathbf{R}^d \}$, their domains of attraction, and the so-called Lamperti transformations, expressing the relation between self-similarity and stationarity. Regularly and slowly varying functions of several variables are also investigated.
Keywords: self-similar random fields, limit theorems, Lamperti transformations.
Received: 20.06.2017
Revised: 03.02.2018
Accepted: 06.03.2018
English version:
Theory of Probability and its Applications, 2019, Volume 63, Issue 3, Pages 426–446
DOI: https://doi.org/10.1137/S0040585X97T989155
Bibliographic databases:
Document Type: Article
Language: English
Citation: Y. Davydov, V. Paulauskas, “Lamperti-type theorems for random fields”, Teor. Veroyatnost. i Primenen., 63:3 (2018), 520–544; Theory Probab. Appl., 63:3 (2019), 426–446
Citation in format AMSBIB
\Bibitem{DavPau18}
\by Y.~Davydov, V.~Paulauskas
\paper Lamperti-type theorems for random fields
\jour Teor. Veroyatnost. i Primenen.
\yr 2018
\vol 63
\issue 3
\pages 520--544
\mathnet{http://mi.mathnet.ru/tvp5148}
\crossref{https://doi.org/10.4213/tvp5148}
\elib{https://elibrary.ru/item.asp?id=35276555}
\transl
\jour Theory Probab. Appl.
\yr 2019
\vol 63
\issue 3
\pages 426--446
\crossref{https://doi.org/10.1137/S0040585X97T989155}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000457753200007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85064719358}
Linking options:
  • https://www.mathnet.ru/eng/tvp5148
  • https://doi.org/10.4213/tvp5148
  • https://www.mathnet.ru/eng/tvp/v63/i3/p520
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
    Statistics & downloads:
    Abstract page:340
    Full-text PDF :57
    References:41
    First page:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024