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The DOI matches its Crossref record; 49 of the 50 references it cites were found in a registry or an index.

Regularly varying functions

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Jessen, Hedegaard, Mikosch, Thomas·2006·Publications de l'Institut Mathematique
DOI 10.2298/pim0694171j
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Abstract

We consider some elementary functions of the components of a regularly varying random vector such as linear combinations, products, minima, maxima, order statistics, powers. We give conditions under which these functions are again regularly varying, possibly with a different index.

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49 of 49 references verified0 citation errors · 0 not checkable

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  • It has become common knowledge that the in-degree and PageRank of the Web follow a power law with the same exponent.

    “It has become common knowledge that the in-degree and PageRank of the Web follow a power law with the same exponent (see [14], [26], [32], and [37]).”

    From Asymptotic analysis for personalized Web search (2010) · cites this paper as [14]

  • The asymptotic equivalence P(R > x) ∼ C'_N P(N > x) as x → ∞ holds if the values of the PageRank R can be approximated by cN E(1/D), as proposed in [14].

    “Note that the asymptotic equivalence P (R > x) ∼ C ′ N P (N > x) as x → ∞ holds if we assume that the values of the PageRank R can be approximated by cN E ( 1 /D) , as proposed in [14].”

    From Asymptotic analysis for personalized Web search (2010) · cites this paper as [14]

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  1. 10.2307/1427239 · DOI

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Metadata

Authors
Jessen, H., & Mikosch, T.
Affiliations
  • Laboratory of Actuarial Mathematics, University of Copenhagen, Copenhagen, Denmark
  • University of Copenhagen (DK)
ORCID
Mikosch, Thomas
Venue
Publications de l'Institut Mathematique
Publisher
National Library of Serbia
Published
2006
Volume
80
Issue
94
Pages
171-192
ISSN
  • 0350-1302 (ISSN-L)
  • 1820-7405
DOI
10.2298/pim0694171j
OpenAlex
W1984074210
Cited by
236
References
50
Citations by year
2026: 1 · 2025: 11 · 2024: 9 · 2023: 10 · 2022: 17 · 2021: 15 · 2020: 16 · 2019: 9 · 2018: 10 · 2017: 8 · 2016: 8 · 2015: 15 · 2014: 16 · 2013: 17 · 2012: 15
FWCI
7.55
Type
journal article
Language
en
Open access
Locations
Publications de l Institut Mathematique (publishedVersion)
Funders
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
  • Social Sciences › Decision Sciences › Management Science and Operations Research › Probability and Risk Models
  • Physical Sciences › Mathematics › Applied Mathematics › Approximation Theory and Sequence Spaces
Keywords
regularly varying functions, linear combinations, product, extreme values, order statistics

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