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Pregled bibliografske jedinice broj: 1131565

CDF of non-central χ^2 distribution revisited. Incomplete hypergeometric type functions approach

Jankov Maširević, Dragana; Poganj, Tibor
CDF of non-central χ^2 distribution revisited. Incomplete hypergeometric type functions approach // Indagationes mathematicae, 32 (2021), 4; 901-915 doi:10.1016/j.indag.2021.06.005 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 1131565 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
CDF of non-central χ^2 distribution revisited. Incomplete hypergeometric type functions approach

Autori
Jankov Maširević, Dragana ; Poganj, Tibor

Izvornik
Indagationes mathematicae (0019-3577) 32 (2021), 4; 901-915

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

Ključne riječi
CDF of non-central χ^2 distribution ; Modified Bessel function of the first kind ; Marcum Q-function ; Incomplete gamma function ; (In)complete Fox-Wright function ; Generalized (in)complete hypergeometric functions
(CDF of non-central χ^2 distribution ; Modified Bessel function of the first kind ; Marcum Q-function ; Incomplete gamma function ; (In)complete Fox-Wright function ; Generalized (in)complete hypergeometric functions.)

Sažetak
The cumulative distribution function of the non-central chi-square distribution χ′2 ν (λ), ν ∈ R+ possesses an integral representation in terms of a generalized Marcum Q-function. Regarding some already known-results, here we derive a simpler form of the cumulative distribution function for ν = 2n ∈ N degrees of freedom. Also, we express these representations in terms of an incomplete Fox–Wright function pΨ γ )q and the generalized incomplete hypergeometric functions concerning the important special cases such as 1Γ1, 2Γ1 and 2γ1. New identities are established between 1Γ1 and 2Γ1 as well.

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.sciencedirect.com

Citiraj ovu publikaciju:

Jankov Maširević, Dragana; Poganj, Tibor
CDF of non-central χ^2 distribution revisited. Incomplete hypergeometric type functions approach // Indagationes mathematicae, 32 (2021), 4; 901-915 doi:10.1016/j.indag.2021.06.005 (međunarodna recenzija, članak, znanstveni)
Jankov Maširević, D. & Poganj, T. (2021) CDF of non-central χ^2 distribution revisited. Incomplete hypergeometric type functions approach. Indagationes mathematicae, 32 (4), 901-915 doi:10.1016/j.indag.2021.06.005.
@article{article, author = {Jankov Ma\v{s}irevi\'{c}, Dragana and Poganj, Tibor}, year = {2021}, pages = {901-915}, DOI = {10.1016/j.indag.2021.06.005}, keywords = {CDF of non-central χ\^{}2 distribution, Modified Bessel function of the first kind, Marcum Q-function, Incomplete gamma function, (In)complete Fox-Wright function, Generalized (in)complete hypergeometric functions}, journal = {Indagationes mathematicae}, doi = {10.1016/j.indag.2021.06.005}, volume = {32}, number = {4}, issn = {0019-3577}, title = {CDF of non-central χ\^{}2 distribution revisited. Incomplete hypergeometric type functions approach}, keyword = {CDF of non-central χ\^{}2 distribution, Modified Bessel function of the first kind, Marcum Q-function, Incomplete gamma function, (In)complete Fox-Wright function, Generalized (in)complete hypergeometric functions} }
@article{article, author = {Jankov Ma\v{s}irevi\'{c}, Dragana and Poganj, Tibor}, year = {2021}, pages = {901-915}, DOI = {10.1016/j.indag.2021.06.005}, keywords = {CDF of non-central χ\^{}2 distribution, Modified Bessel function of the first kind, Marcum Q-function, Incomplete gamma function, (In)complete Fox-Wright function, Generalized (in)complete hypergeometric functions.}, journal = {Indagationes mathematicae}, doi = {10.1016/j.indag.2021.06.005}, volume = {32}, number = {4}, issn = {0019-3577}, title = {CDF of non-central χ\^{}2 distribution revisited. Incomplete hypergeometric type functions approach}, keyword = {CDF of non-central χ\^{}2 distribution, Modified Bessel function of the first kind, Marcum Q-function, Incomplete gamma function, (In)complete Fox-Wright function, Generalized (in)complete hypergeometric functions.} }

Časopis indeksira:


  • 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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