- Published
- 2021-03-13
- Venue
- Journal of Data Science, vol. 11, no. 1, pp. 1-27
- Cited by
- 424
- Open access
- Yes, diamond
- DOI
- 10.6339/jds.2013.11(1).1086
Abstract
We propose a new method of adding two parameters to a contin uous distribution that extends the idea first introduced by Lehmann (1953) and studied by Nadarajah and Kotz (2006). This method leads to a new class of exponentiated generalized distributions that can be interpreted as a double construction of Lehmann alternatives. Some special models are dis cussed. We derive some mathematical properties of this class including the ordinary moments, generating function, mean deviations and order statis tics. Maximum likelihood estimation is investigated and four applications to real data are presented.
Cite this paper
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- APA 7
Cordeiro, G. M., Ortega, E. M. M., & Cunha, D. C. C. D. (2021). The Exponentiated Generalized Class of Distributions. Journal of Data Science, 11(1), 1–27. https://doi.org/10.6339/jds.2013.11(1).1086
- MLA 9
Cordeiro, Gauss M., et al. "The Exponentiated Generalized Class of Distributions." Journal of Data Science, vol. 11, no. 1, 2021, pp. 1–27, https://doi.org/10.6339/jds.2013.11(1).1086.
- Chicago
Cordeiro, Gauss M., Edwin M. M. Ortega, and Daniel C. C. da Cunha. "The Exponentiated Generalized Class of Distributions." Journal of Data Science 11, no. 1 (2021): 1–27. https://doi.org/10.6339/jds.2013.11(1).1086.
- GOST
Cordeiro G. M., Ortega E. M. M., Cunha D. C. C. D. The Exponentiated Generalized Class of Distributions // Journal of Data Science. — 2021. — Vol. 11, № 1. — P. 1–27. — URL: https://doi.org/10.6339/jds.2013.11(1).1086
- BibTeX
@article{cordeiro2021exponentiated, title = {{The Exponentiated Generalized Class of Distributions}}, author = {Gauss M. Cordeiro and Edwin M. M. Ortega and Daniel C. C. da Cunha}, journal = {Journal of Data Science}, year = {2021}, volume = {11}, number = {1}, pages = {1--27}, doi = {10.6339/jds.2013.11(1).1086}, url = {https://doi.org/10.6339/jds.2013.11(1).1086} }- RIS
TY - JOUR AU - Cordeiro, Gauss M. AU - Ortega, Edwin M. M. AU - Cunha, Daniel C. C. da TI - The Exponentiated Generalized Class of Distributions JO - Journal of Data Science VL - 11 IS - 1 SP - 1 EP - 27 PY - 2021 DA - 2021/03/13 DO - 10.6339/jds.2013.11(1).1086 UR - https://doi.org/10.6339/jds.2013.11(1).1086 ER -