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Pregled bibliografske jedinice broj: 528519

On generalized Hurwitz-Lerch Zeta distributions occuring in statistical inference


Saxena, Ram K.; Poganj, Tibor; Saxena, Ravi; Jankov, Dragana
On generalized Hurwitz-Lerch Zeta distributions occuring in statistical inference // Acta Universitatis Sapientiae. Mathematica, 3 (2011), 1; 43-59 (podatak o recenziji nije dostupan, članak, znanstveni)


CROSBI ID: 528519 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On generalized Hurwitz-Lerch Zeta distributions occuring in statistical inference

Autori
Saxena, Ram K. ; Poganj, Tibor ; Saxena, Ravi ; Jankov, Dragana

Izvornik
Acta Universitatis Sapientiae. Mathematica (1844-6094) 3 (2011), 1; 43-59

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

Ključne riječi
Riemann zeta function ; Lerch zeta function ; Hurwitz-Lerch Zeta function ; hazard function ; mean residual life function ; characteristic function ; Planck distribution ; generalized Beta prime distribution ; moment method parameter estimation

Sažetak
The object of the present paper is to define certain new incomplete generalized Hurwitz-Lerch Zeta functions and incomplete generalized Gamma functions. Further, we introduce two new statistical distributions named as, generalized Hurwitz-Lerch Zeta Beta prime distribution and generalized Hurwitz-Lerch Zeta Gamma distribution and investigate their statistical functions, such as moments, distribution and survivor function, characteristic function, the hazard rate function and the mean residue life functions. Finally, Moment Method parameter estimators are given by means of a statistical sample of size $n$. The results obtained provide an elegant extension of the work reported earlier by Garg et al. and others.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Tehnologija prometa i transport



POVEZANOST RADA


Projekti:
112-1121722-3314 - Informacijsko-komunikacijske tehnologije u inteligentnim pomorskim sustavima (Tomas, Vinko, MZOS ) ( CroRIS)
235-2352818-1039 - Statistički aspekti problema procjene u nelinearnim parametarskim modelima (Benšić, Mirta, MZOS ) ( CroRIS)

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


Citiraj ovu publikaciju:

Saxena, Ram K.; Poganj, Tibor; Saxena, Ravi; Jankov, Dragana
On generalized Hurwitz-Lerch Zeta distributions occuring in statistical inference // Acta Universitatis Sapientiae. Mathematica, 3 (2011), 1; 43-59 (podatak o recenziji nije dostupan, članak, znanstveni)
Saxena, R., Poganj, T., Saxena, R. & Jankov, D. (2011) On generalized Hurwitz-Lerch Zeta distributions occuring in statistical inference. Acta Universitatis Sapientiae. Mathematica, 3 (1), 43-59.
@article{article, author = {Saxena, Ram K. and Poganj, Tibor and Saxena, Ravi and Jankov, Dragana}, year = {2011}, pages = {43-59}, keywords = {Riemann zeta function, Lerch zeta function, Hurwitz-Lerch Zeta function, hazard function, mean residual life function, characteristic function, Planck distribution, generalized Beta prime distribution, moment method parameter estimation}, journal = {Acta Universitatis Sapientiae. Mathematica}, volume = {3}, number = {1}, issn = {1844-6094}, title = {On generalized Hurwitz-Lerch Zeta distributions occuring in statistical inference}, keyword = {Riemann zeta function, Lerch zeta function, Hurwitz-Lerch Zeta function, hazard function, mean residual life function, characteristic function, Planck distribution, generalized Beta prime distribution, moment method parameter estimation} }
@article{article, author = {Saxena, Ram K. and Poganj, Tibor and Saxena, Ravi and Jankov, Dragana}, year = {2011}, pages = {43-59}, keywords = {Riemann zeta function, Lerch zeta function, Hurwitz-Lerch Zeta function, hazard function, mean residual life function, characteristic function, Planck distribution, generalized Beta prime distribution, moment method parameter estimation}, journal = {Acta Universitatis Sapientiae. Mathematica}, volume = {3}, number = {1}, issn = {1844-6094}, title = {On generalized Hurwitz-Lerch Zeta distributions occuring in statistical inference}, keyword = {Riemann zeta function, Lerch zeta function, Hurwitz-Lerch Zeta function, hazard function, mean residual life function, characteristic function, Planck distribution, generalized Beta prime distribution, moment method parameter estimation} }

Uključenost u ostale bibliografske baze podataka::


  • Compu-Math Citation Index
  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts





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