Half Logistic Inverse Lomax Distribution with Applications

The last years have revealed the importance of inverse Lomax distribution in understanding lifetime heavy-tailed phenomena. However, modeling capabilities certain limits that researchers aim to overcome. These include a stiffness modulation peak and tail properties related probability density function. In this paper, solution is given by using functionalities half logistic family. We introduce new three-parameter extended called distribution. highlight its superiority over through various theoretical practical approaches. derived stochastic orders, quantiles, moments, incomplete entropy (Rényi q) order statistics. Then, an emphasis put on corresponding parametric model. parameters estimation performed six well-established methods. Numerical results are presented compare performance obtained estimates. Also, simulation study Rényi proposed. Finally, we consider three data sets, one containing environmental data, another dealing with engineering insurance show how practitioner can take advantage