Extended Gumbel Type-2 Distribution: Properties and Applications
Joint Authors
Ogunde, A. A.
Fayose, S. T.
Ajayi, B.
Omosigho, D. O.
Source
Journal of Applied Mathematics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ogunde, A. A.& Fayose, S. T.& Ajayi, B.& Omosigho, D. O.. 2020. Extended Gumbel Type-2 Distribution: Properties and Applications. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1174497
Modern Language Association (MLA)
Ogunde, A. A.…[et al.]. Extended Gumbel Type-2 Distribution: Properties and Applications. Journal of Applied Mathematics No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1174497
American Medical Association (AMA)
Ogunde, A. A.& Fayose, S. T.& Ajayi, B.& Omosigho, D. O.. Extended Gumbel Type-2 Distribution: Properties and Applications. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1174497
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174497