Abstract
In this paper, a new extension of the Rayleigh distribution called the Hyperbolic Sine-Rayleigh distribution is introduced and studied. The proposed model is very flexible and is capable of modeling with increasing and unimodal hazard rates. A comprehensive treatment of its mathematical properties including explicit expressions for the moments, quantiles, moment generating function, Entropy and order statistics are provided. Maximum likelihood estimates of the model parameters are obtained. Furthermore, a simulation study is conducted to access the behavior of the maximum likelihood estimators. Finally, the superiority of the subject model is illustrated empirically over the other distributions by analyzing a real-life application.
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