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Pregled bibliografske jedinice broj: 1202763

Observations on the McKay I_nu Bessel distribution

Górska, Katarzyna; Horzela, Andrzej; Jankov Maširević, Dragana; Poganj, Tibor
Observations on the McKay I_nu Bessel distribution // Journal of mathematical analysis and applications, 516 (2022), 1; 126481, 14 doi:10.1016/j.jmaa.2022.126481 (međunarodna recenzija, članak, znanstveni)

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Naslov
Observations on the McKay I_nu Bessel distribution

Autori
Górska, Katarzyna ; Horzela, Andrzej ; Jankov Maširević, Dragana ; Poganj, Tibor

Izvornik
Journal of mathematical analysis and applications (0022-247X) 516 (2022), 1; 126481, 14

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

Ključne riječi
Modified Bessel functions of the first kind ; McKay I_nu Bessel distribution ; Grünwald-Letnikov fractional derivative ; Incomplete Fox-Wright functions ; Incomplete Lipschitz-Hankel integral ; Exton X function ; Moment determinacy ; Unimodality

Sažetak
The main aim of this article is to derive new representation formulae for CDF of random variable distributed according to the McKay I_nu Bessel law: fi rst set of formulae are given in terms of incomplete generalized Fox-Wright function while the other expressions include Exton generalized hypergeometric X function of two variables, and also the incomplete Lipschitz-Hankel integral for the modifi ed Bessel function of the first kind. Also we establish the connection between CDF of the McKay I_nu Bessel rv and another important CDF which belongs to the non{; ; ; ; central chi-square law. Another goal is to give answers to the moment determinacy problem, unimodality and some mode results for this distribution.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
NadSve-Sveučilište u Rijeci-uniri-pr-prirod-19-16 - Stohastičke metode u matematičkoj analizi (Krizmanić, Danijel, NadSve - UNIRI-plus projekti 2018) ( CroRIS)

Ustanove:
Pomorski fakultet, Rijeka,
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Avatar Url Tibor Poganj (autor)

Avatar Url Dragana Jankov Maširević (autor)

Poveznice na cjeloviti tekst rada:

doi www.journals.elsevier.com

Citiraj ovu publikaciju:

Górska, Katarzyna; Horzela, Andrzej; Jankov Maširević, Dragana; Poganj, Tibor
Observations on the McKay I_nu Bessel distribution // Journal of mathematical analysis and applications, 516 (2022), 1; 126481, 14 doi:10.1016/j.jmaa.2022.126481 (međunarodna recenzija, članak, znanstveni)
Górska, K., Horzela, A., Jankov Maširević, D. & Poganj, T. (2022) Observations on the McKay I_nu Bessel distribution. Journal of mathematical analysis and applications, 516 (1), 126481, 14 doi:10.1016/j.jmaa.2022.126481.
@article{article, author = {G\'{o}rska, Katarzyna and Horzela, Andrzej and Jankov Ma\v{s}irevi\'{c}, Dragana and Poganj, Tibor}, year = {2022}, pages = {14}, DOI = {10.1016/j.jmaa.2022.126481}, chapter = {126481}, keywords = {Modified Bessel functions of the first kind, McKay I\_nu Bessel distribution, Gr\"{u}nwald-Letnikov fractional derivative, Incomplete Fox-Wright functions, Incomplete Lipschitz-Hankel integral, Exton X function, Moment determinacy, Unimodality}, journal = {Journal of mathematical analysis and applications}, doi = {10.1016/j.jmaa.2022.126481}, volume = {516}, number = {1}, issn = {0022-247X}, title = {Observations on the McKay I\_nu Bessel distribution}, keyword = {Modified Bessel functions of the first kind, McKay I\_nu Bessel distribution, Gr\"{u}nwald-Letnikov fractional derivative, Incomplete Fox-Wright functions, Incomplete Lipschitz-Hankel integral, Exton X function, Moment determinacy, Unimodality}, chapternumber = {126481} }
@article{article, author = {G\'{o}rska, Katarzyna and Horzela, Andrzej and Jankov Ma\v{s}irevi\'{c}, Dragana and Poganj, Tibor}, year = {2022}, pages = {14}, DOI = {10.1016/j.jmaa.2022.126481}, chapter = {126481}, keywords = {Modified Bessel functions of the first kind, McKay I\_nu Bessel distribution, Gr\"{u}nwald-Letnikov fractional derivative, Incomplete Fox-Wright functions, Incomplete Lipschitz-Hankel integral, Exton X function, Moment determinacy, Unimodality}, journal = {Journal of mathematical analysis and applications}, doi = {10.1016/j.jmaa.2022.126481}, volume = {516}, number = {1}, issn = {0022-247X}, title = {Observations on the McKay I\_nu Bessel distribution}, keyword = {Modified Bessel functions of the first kind, McKay I\_nu Bessel distribution, Gr\"{u}nwald-Letnikov fractional derivative, Incomplete Fox-Wright functions, Incomplete Lipschitz-Hankel integral, Exton X function, Moment determinacy, Unimodality}, chapternumber = {126481} }

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

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

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