A Study on Properties and Goodness-of-Fit of the Logistic Inverse Weibull Distribution

In this paper, we purpose a three-parameter univariate continuous distribution called Logistic Inverse Weibull Distribution. We have presented some statistical properties of the purposed distribution including the cumulative distribution function, probability density function, hazard rate function, survival function, quantile function, etc. The three well-known estimation methods namely least-square estimation (LSE), maximum likelihood estimation (MLE), and Cramer-Von-Mises estimation (CVME) methods are used for the model parameter estimation. The overall goodness of fit of the proposed distribution is assessed by comparison with some other existing distributions using a real data set.