Pregled bibliografske jedinice broj: 895264
Extension of generalized integro-exponential function and its application in study of Chen distribution
Extension of generalized integro-exponential function and its application in study of Chen distribution // Applicable analysis and discrete mathematics, 11 (2017), 2; 434-450 doi:10.2298/AADM1702434P (međunarodna recenzija, članak, znanstveni)
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Naslov
Extension of generalized integro-exponential function and its application in study of Chen distribution
Autori
Poganj, Tibor ; Cordeiro, Gauss M. ; Tahir, Muhammad H. ; Srivastava, Hari M.
Izvornik
Applicable analysis and discrete mathematics (1452-8630) 11
(2017), 2;
434-450
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Chen distribution ; Generalized integro-exponantial function ; Grunwald-Letnikov fractional derivative ; Moments ; Renyi entropy
Sažetak
In 2000 Chen introduced a two-parameter lifetime model and has reported only a few mathematical properties moments, quantile and generating functions, among others. In this article, we derive a power series expansion for newly introduced real upper parameter generalized integro-exponential function E_s^p(z) extending certain Milgram's findings. By our novel results we derive closed-form expressions for the moments, generating function, Renyi entropy and power series for the quantile function of the Chen distribution.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
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
- Referativny Zhurnal-VINITI
