A New Generalization of the Generalized Inverse Rayleigh Distribution with Applications

In this article, a new four-parameter lifetime model called the beta generalized inverse Rayleigh distribution (BGIRD) is defined and studied. Mixture representation of derived. Curve’s behavior probability density function, reliability hazard function are Next, we derived quantile median, mode, moments, harmonic mean, skewness, kurtosis. addition, order statistics mean deviations about median found. Other important properties including entropy (Rényi Shannon), which measure uncertainty for distribution, also investigated. Maximum likelihood estimation adopted to model. A simulation study conducted estimate parameters. Four real-life data sets from difference fields were applied on comparison between some competitive models done via information criteria. Our shows best fitting real data.