Odd Pareto-G Family: Properties, Regression, Simulations and Applications

Authors

  • Mohamed Hussein Department of Mathematics and Computer Science, Alexandria University, Alexandria, Egypt https://orcid.org/0000-0002-7332-0334
  • Gauss M. Cordeiro Department of Statistics, Federal University of Pernambuco, Recife, Brazil
  • Luís H. de Santana Department of Technology, State University of Maringá, Umuarama, Brazil
  • Gabriela M. Rodrigues Department of Exact Sciences, University of São Paulo, Piracicaba, Brazil
  • Edwin M. M. Ortega Department of Exact Sciences, University of São Paulo, Piracicaba, Brazil https://orcid.org/0000-0003-3999-7402

DOI:

https://doi.org/10.37256/cm.4120232062

Keywords:

maximum likelihood, Odd Pareto-G family, simulation, T-X family

Abstract

Several new families have been introduced in the last two decades to extend well-known distributions, and at the same time provide great flexibility for modelling real data. We propose the Odd Pareto-G family with two extra shape parameters, and obtain some of its mathematical properties, which give important information about its structure and may be useful in future research. We construct a new regression model based on a special distribution of the new family. Maximum likelihood estimation and simulations are addressed, and these results show that the estimates are consistent for different percentages of censorship. Four applications to real data show the usefulness of the new models, reveal that they are suitable for the presented data, and can be considered interesting alternatives to model censored and uncensored lifetime data.

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Published

2023-02-23

How to Cite

1.
Hussein M, Cordeiro GM, de Santana LH, Rodrigues GM, Ortega EMM. Odd Pareto-G Family: Properties, Regression, Simulations and Applications. Contemp. Math. [Internet]. 2023 Feb. 23 [cited 2024 Mar. 29];4(1):49-74. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2062