A new family of unit-distributions: definition, properties and applications
Künye
Arslan, T. (2023). A new family of unit-distributions: definition, properties and applications. TWMS Journal of Applied and Engineering Mathematics, 13(2), 782-791.Özet
In this study, a new family of unit-distributions is introduced. Then, a unitGumbel distribution, member of the proposed family of unit-distributions, is obtained as an example, and some of its statistical properties are provided. The maximum likelihood method is used for estimating the shape parameter of the unit-Gumbel distribution. In addition, a new family of continuous distributions is defining by using the composition technique. Finally, real data sets are used for modeling purposes. The result shows that the unit-Gumbel distribution is preferable over some well-known unit-distributions such as the beta, Kumaraswamy, and Topp-Leone, and also the unit-Gompertz distribution, which is recently introduced.
Kaynak
TWMS Journal of Applied and Engineering MathematicsCilt
13Sayı
2Bağlantı
https://hdl.handle.net/11729/5502http://jaem.isikun.edu.tr/web/index.php/archive/119-vol13no2/1009
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