Extended Gumbel Type‐2 Distribution: Properties and Applications

A. A. Ogunde, S. T. Fayose, B. Ajayi and D. O. Omosigho

Journal of Applied Mathematics, 2020, vol. 2020, issue 1

Abstract: In this paper, we proposed a new four‐parameter Extended Gumbel type‐2 distribution which can further be split into the Lehman type I and type II Gumbel type‐2 distribution by using a generalized exponentiated G distribution. The distributional properties of the proposed distribution have been studied. We derive the pth moment; thus, we generalize some results in the literature. Expressions for the density, moment‐generating function, and rth moment of the order statistics are also obtained. We discuss estimation of the parameters by maximum likelihood and provide the information matrix of the developed distribution. Two life data, which consist of data on cancer remission times and survival times of pigs, were used to show the applicability of the Extended Gumbel type‐2 distribution in modelling real life data, and we found out that the new model is more flexible than its submodels.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2020/2798327

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2020:y:2020:i:1:n:2798327

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().