Naslov
The Gamma Exponentiated Exponential–Weibull Distribution

Autori
Poganj, Tibor ; Saboor, Abdus

Izvornik
Filomat (0354-5180) 30 (2016), 12; 3159-3170

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

Ključne riječi
Weibull distribution ; Gamma–exponentiated distribution ; Exponential–Weibull distribution ; Fox–Wright generalized hypergeometric function ; Meijer G function ; Quantile function ; Goodness–of–fit statistics ; Lifetime data

Sažetak
A new four-parameter model called the gamma– exponentiated exponential–Weibull distribution is being introduced in this paper. The new model turns out to be quite flexible for analyzing positive data. Representations of certain statistical functions associated with this distribution are obtained. Some special cases are pointed out as well. The parameters of the proposed distribution are estimated by making use of the maximum likelihood approach. This density function is utilized to model two actual data sets. The new distribution is shown to provide a better fit than related distributions as measured by the Anderson–Darling and Cramer–von Mises goodness–of–fit statistics. The proposed distribution may serve as a viable alternative to other distributions available in the literature for modeling positive data arising in various fields of scientific investigation such as the physical and biological sciences, hydrology, medicine, meteorology and engineering.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA