A Two-Parameter Distribution with Increasing and Bathtub Hazard Rate

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 gener...

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Bibliographic Details
Published in:Journal of Data Science 2021-01, Vol.18 (4), p.813-827
Main Authors: Ramos, Pedro L., Louzada, Francisco, Moala, Fernando A.
Format: Article
Language:English
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Summary: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.
ISSN:1683-8602
1680-743X
1683-8602
DOI:10.6339/JDS.202010_18(4).0014