Abstract
In this paper, we introduce generalization of Rayleigh distribution using hyperbolic cosine family distribution and it is named as hyperbolic cosine Rayleigh distribution. Further we present various mathematical properties of the proposed distribution including explicit expressions for moments, quantiles, asymptotic behaviour, order statistics, stochastic orderings and reliability function. Maximum likelihood estimation method is used to obtain estimators for the parameters of the distribution. Finally we have shown that the proposed model has application in studying breaking stress of carbon fibers.
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