Abstract

PENA-RAMIREZ, Fernando A.; ROJAS GUERRA, Renata  and  CORDEIRO, Gauss M.. A New Nadarajah-Haghighi Generalization with Five Different Shapes for the Hazard Function. Rev.Colomb.Estad. [online]. 2023, vol.46, n.2, pp.93-119.  Epub July 02, 2023. ISSN 0120-1751.  https://doi.org/10.15446/rce.v46n2.103412.

We introduce a four-parameter model called the Weibull Nadarajah-Haghighi distribution. It is obtained by inserting the Nadarajah-Haghighi distribution in the Weibull-G family. The proposed distribution can produce constant, increasing, decreasing, bathtub, and upside down-bathtub hazard rate shapes, which are the most important in lifetime analysis. We explore some structural properties, including the quantile function, ordinary and incomplete moments, mean deviations, Bonferroni and Lorenz curves, and Rényi entropy. The maximum likelihood method is used to estimate the model parameters. A simulation study is formed to examine the precision of the estimates. The usefulness of the new distribution is illustrated through two applications to real data. The new model provides better fits than some widely known lifetime distributions.

Keywords : Hazard rate function; Lifetime data; Maximum likelihood; Nadarajah-Haghighi distribution; Weibull-G family.

        · abstract in Spanish     · text in English     · English ( pdf )