OICC Press International Journal of Mathematical Modelling & Computations 2228-6233 14 2 2025 07 11 A New Compounded Model Based on Fre’chet Distribution With Application in Failure Data 129 151 10.71932/IJM.2024.1128596 EN Fereshteh Momeni Department of Statistics, ‎Islamic Azad‎ ‎University‎, ‎ Behshahr Branch, ‎Iran Kazem Fayyaz Heydari Department of Statistics, Payame Noor University, ‎Tehran Branch‎, Iran. Soheil Shokri Department of Statistics, Rasht Branch, Islamic Azad University, Rasht, Iran Journal Article 2025 07 11 Recently the Extended Fre’chet distribution (EF) has appeard as the subject of so many research. In this research, we aim to extend EF as a three-parameter distribution to a four-parameter life-time distribution named Extended Frechet Power Series (EFPS) distribution. The EFPS distribution happens to have decreasing, increasing, bathtub, and upside down bathtub hazard shapes for different values of its parameters. The maximum likelihood estimation and capability of the quantile measures are discussed. Using two data sets leading to the numerical experiment, the functioning of the maximum likelihood estimators and their asymptotic results of EFPS distribution are compared to several rival destributions.