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A Two-Parameter Distribution with Increasing and Bathtub Hazard Rate
Volume 18, Issue 4 (2020), pp. 813–827
Pedro L. Ramos   Francisco Louzada   Fernando A. Moala  

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https://doi.org/10.6339/JDS.202010_18(4).0014
Pub. online: 4 August 2022      Type: Research Article      Open accessOpen Access

Published
4 August 2022

Abstract

In this paper a new two-parameter distribution is proposed. This new model provides more flexibility to modeling data with increasing and bathtub hazard rate function. Several statistical and reliability properties of the proposed model are also presented in this paper, such as moments, moment generating function, order statistics and stress-strength reliability. The maximum likelihood estimators for the parameters are discussed as well as a bias corrective approach based on bootstrap techniques. A numerical simulation is carried out to examine the bias and the mean square error of the proposed estimators. Finally, an application using a real data set is presented to illustrate our model.

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Keywords
lifetime model maximum likelihood estimation

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