A New Nadarajah-Haghighi Generalization with Five Different Shapes for the Hazard Function

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