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, 1993, Volume 38, Issue 4, Pages 787–799 (Mi tvp4015)  
This article is cited in 22 scientific papers (total in 22 papers)

Domains of attraction of the max-semistable laws under linear and power normalizations

I. V. Grinevich

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (670 kB) Citations (22)
Abstract: We consider the domains of attraction of the univariate semi-stable laws in the scheme of cumulative maxima of independent identically distributed random variables and obtain necessary and sufficient conditions for a nondegenerate distribution function to belong to the domain of attraction of a max-semistable law under linear and power normalization. These theorems include the well-known criteria for belonging to the domains of attraction of max-stable laws as a special case; examples are given. The relation between the domains of attraction under linear and power normalization is shown.
Keywords: domain of attraction, max-stable law, max-semistable law, linear and power normalization.
Received: 22.02.1993
English version:
Theory of Probability and its Applications, 1993, Volume 38, Issue 4, Pages 640–650
DOI: https://doi.org/10.1137/1138064
Bibliographic databases:
Language: Russian
Citation: I. V. Grinevich, “Domains of attraction of the max-semistable laws under linear and power normalizations”, Teor. Veroyatnost. i Primenen., 38:4 (1993), 787–799; Theory Probab. Appl., 38:4 (1993), 640–650
Citation in format AMSBIB
\Bibitem{Gri93}
\by I.~V.~Grinevich
\paper Domains of attraction of the max-semistable laws under linear and power normalizations
\jour Teor. Veroyatnost. i Primenen.
\yr 1993
\vol 38
\issue 4
\pages 787--799
\mathnet{http://mi.mathnet.ru/tvp4015}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1317998}
\zmath{https://zbmath.org/?q=an:0835.60012}
\transl
\jour Theory Probab. Appl.
\yr 1993
\vol 38
\issue 4
\pages 640--650
\crossref{https://doi.org/10.1137/1138064}
Linking options:
  • https://www.mathnet.ru/eng/tvp4015
  • https://www.mathnet.ru/eng/tvp/v38/i4/p787
    • This publication is cited in the following 22 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:180
    Full-text PDF :68
    First page:14
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024