Yazd University Journal of Statistical Modelling: Theory and Applications 2676-7392 1 2 2020 07 01 On some properties of transmuted Weibull distribution 115 130 1903 10.22034/jsmta.2020.1903 EN Seyed Mohsen Mirhosseini Department of Statistics‎, ‎Faculty of‎ ‎Mathematics‎, ‎Yazd University‎, ‎Yazd‎, ‎Iran Reihaneh Lalehzari Department of Statistics‎, ‎Faculty of‎ ‎Mathematics‎, ‎Yazd University‎, ‎Yazd‎, ‎Iran Journal Article 2020 03 14 A new generalized version of the Weibull distribution, which is called the perturbed Weibull distribution, is introduced in this paper. The present distribution provide enough flexibility for analyzing different types of data with increasing, decreasing, constant, bathtub shaped, unimodal, increasing-decreasing-increasing and decreasing-increasing-decreasing hazard functions in comparing with former extensions of the Weibull distribution. We study its properties including servival and hazard functions, moments, moment generating and characteristic functions, quantiles and Renyi entropy. Estimation of parameters using the methods of moment and maximum likelihood is obtained. We show the consistency of the moments and maximum likelihood estimators using some simulation study. Finally, the flexibility of the new distribution is illustrated in an application to two real data sets. https://jsm.yazd.ac.ir/article_1903_65eaaa56058194076aba254557e235e2.pdf