TY - JOUR AU - Banerjee, Proloy AU - Bhunia, Shreya PY - 2022/08/26 Y2 - 2024/03/29 TI - Exponential Transformed Inverse Rayleigh Distribution: Statistical Properties and Different Methods of Estimation JF - Austrian Journal of Statistics JA - AJS VL - 51 IS - 4 SE - Articles DO - 10.17713/ajs.v51i4.1338 UR - https://www.ajs.or.at/index.php/ajs/article/view/1338 SP - 60-75 AB - <p>In this article a generalization of the inverse Rayleigh distribution has been addressed by using DUS transformation, named as Exponential Transformed Inverse Rayleigh (ETIR) distribution. Some of the statistical properties of this newly proposed distribution like mode, quantiles, moment, moment generating function, survival and hazard rate function have been studied comprehensively. To estimate the parameter of this distribution, four different estimation procedures, such as maximum likelihood estimation (MLE), maximum product spacing method (MPS), least square method (LSE) and weighted least square method (WLSE) are briefly discussed. Performance of these estimates are compared using extensive simulations. As an application point of view the model superiority is verified through two real datasets.</p> ER -