Exponentiated uniform distribution: An interesting alternative to truncated models

Exponentiated uniform distribution: An interesting alternative to truncated models

Authors

DOI:

https://doi.org/10.5433/1679-0375.2019v40n2p107

Keywords:

Limited Support Distributions, Maximum Likelihood Estimation, Exponentiated distributions

Abstract

In this paper some properties of the so-called exponentiated uniform distribution are derived and discussed, such as quantile function, moments, generating function, mean deviations, Bonferroni and Lorenz curves, Shannon and Rényi entropies. The proposed model, defined in the range [a;b] can be used as an alternative to the truncated models. The maximum likelihood estimation of the model parameter is also conducted and a simulation study was performed to verify the consistency of model parameter. An application to a real data set illustrates its potentiality comparing the new distribution with other three well-known truncated distributions.We also present, at the end, an section discussing about computational codes, where the scripts used in R software are available.

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Author Biographies

Thiago Gentil Ramires, Universidade Tecnológica Federal do Paraná

PhD in Agronomy from the University of São Paulo. Professor at the Universidade Tecnológica Federal do Paraná

Luiz Ricardo Nakamura, Universidade Federal de Santa Catarina

PhD in Sciences from the University of São Paulo, with a sandwich period at London Metropolitan University (London, United Kingdom). Professor at the Universidade Federal de Santa Catarina.

Ana Julia Righetto, Universidade Estadual de Londrina

PhD in Sciences from the University of São Paulo. Postdoctoral student at IAPAR in Londrina-PR.

Rodrigo Rosseto Pescim, Universidade Estadual de Londrina

PhD in Sciences from the University of São Paulo. Professor at Universidade Estadual de Londrina

Tiago Santos Telles, IAPAR

PhD in Agronomy from the State University of Londrina.
Researcher B of the Paraná Agronomic Institute.

References

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Published

2019-12-18

How to Cite

Ramires, T. G., Nakamura, L. R., Righetto, A. J., Pescim, R. R., & Telles, T. S. (2019). Exponentiated uniform distribution: An interesting alternative to truncated models. Semina: Ciências Exatas E Tecnológicas, 40(2), 107–114. https://doi.org/10.5433/1679-0375.2019v40n2p107

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Original Article

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