The logistic-Rayleigh distribution with properties and applications

Abstract

In this article, we have presented a two-parameter univariate continuous distribution called Logistic-Rayleigh distribution. We have discussed some mathematical and statistical properties of the distribution, such as the cumulative distribution function, probability density function and hazard rate function, survival function, quantile function, the skewness, and kurtosis measures. The model parameters of the proposed distribution are estimated using three well-known estimation methods, namely maximum likelihood estimation (MLE), least-square estimation (LSE), and Cramer-Von-Mises estimation (CVME) methods. The goodness of fit of the purposed distribution is also evaluated by fitting it in comparison with some other existing distributions using a real data set.