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Pregled bibliografske jedinice broj: 750970

Asymptotic properties of the partition function and applications in tail index inference of heavy-tailed data


Grahovac, Danijel; Jia, Mofei; Leonenko, Nikolai; Taufer, Emanuele
Asymptotic properties of the partition function and applications in tail index inference of heavy-tailed data // Statistics (Berlin), 49 (2015), 6; 1221-1242 doi:10.1080/02331888.2014.969267 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 750970 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Asymptotic properties of the partition function and applications in tail index inference of heavy-tailed data

Autori
Grahovac, Danijel ; Jia, Mofei ; Leonenko, Nikolai ; Taufer, Emanuele

Izvornik
Statistics (Berlin) (0233-1888) 49 (2015), 6; 1221-1242

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
heavy tails; partition function; scaling function; tail index

Sažetak
The so-called partition function is a sample moment statistic based on blocks of data and it is often used in the context of multifractal processes. It will be shown that its behaviour is strongly influenced by the tail of the distribution underlying the data either in i.i.d. and weakly dependent cases. These results will be exploited to develop graphical and estimation methods for the tail index of a distribution. The performance of the tools proposed is analyzed and compared with other methods by means of simulations and examples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
235-2352818-1039 - Statistički aspekti problema procjene u nelinearnim parametarskim modelima (Benšić, Mirta, MZOS ) ( CroRIS)

Ustanove:
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Avatar Url Danijel Grahovac (autor)

Citiraj ovu publikaciju:

Grahovac, Danijel; Jia, Mofei; Leonenko, Nikolai; Taufer, Emanuele
Asymptotic properties of the partition function and applications in tail index inference of heavy-tailed data // Statistics (Berlin), 49 (2015), 6; 1221-1242 doi:10.1080/02331888.2014.969267 (međunarodna recenzija, članak, znanstveni)
Grahovac, D., Jia, M., Leonenko, N. & Taufer, E. (2015) Asymptotic properties of the partition function and applications in tail index inference of heavy-tailed data. Statistics (Berlin), 49 (6), 1221-1242 doi:10.1080/02331888.2014.969267.
@article{article, author = {Grahovac, Danijel and Jia, Mofei and Leonenko, Nikolai and Taufer, Emanuele}, year = {2015}, pages = {1221-1242}, DOI = {10.1080/02331888.2014.969267}, keywords = {heavy tails, partition function, scaling function, tail index}, journal = {Statistics (Berlin)}, doi = {10.1080/02331888.2014.969267}, volume = {49}, number = {6}, issn = {0233-1888}, title = {Asymptotic properties of the partition function and applications in tail index inference of heavy-tailed data}, keyword = {heavy tails, partition function, scaling function, tail index} }
@article{article, author = {Grahovac, Danijel and Jia, Mofei and Leonenko, Nikolai and Taufer, Emanuele}, year = {2015}, pages = {1221-1242}, DOI = {10.1080/02331888.2014.969267}, keywords = {heavy tails, partition function, scaling function, tail index}, journal = {Statistics (Berlin)}, doi = {10.1080/02331888.2014.969267}, volume = {49}, number = {6}, issn = {0233-1888}, title = {Asymptotic properties of the partition function and applications in tail index inference of heavy-tailed data}, keyword = {heavy tails, partition function, scaling function, tail index} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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