Yazd University Journal of Statistical Modelling: Theory and Applications 2676-7392 4 1 2023 01 01 Estimations of the parameters for modified Weibull distribution under adaptive type-II progressive censored samples 75 93 3358 10.22034/jsmta.2024.20261.1102 EN Akram Kohansal Department of Statistics‎, ‎Imam Khomeini International University‎, ‎Qazvin‎, ‎Iran Hasan Haji Department of Statistics‎, ‎Imam Khomeini International University‎, ‎Qazvin‎, ‎Iran Journal Article 2023 06 26 This paper describes the point and interval estimation of the unknown parameters of modified Weibull distribution under the adaptive Type-II progressive censored samples‎. ‎First‎, ‎we obtain the maximum likelihood estimation of parameters‎. ‎Because maximum likelihood estimations should be solved in numerical methods and cannot be derived in a closed form‎, ‎the approximate maximum likelihood estimations of the parameters are achieved‎. ‎Also‎, ‎asymptotic confidence intervals are obtained by earning the asymptotic distribution of the parameters‎. ‎Moreover‎, ‎two bootstrap confidence intervals are derived‎. ‎Second‎, ‎the Bayesian estimation of parameters is approximated using the Markov chain Monte Carlo algorithm and Lindley's method‎. ‎Furthermore‎, ‎the highest posterior density credible intervals of the parameters are derived‎. ‎Finally‎, ‎the different proposed estimations have been compared by the simulation studies and one data set is analyzed to illustrative aims. Adaptive Type-II progressive censored samples Approximate maximum likelihood estimation Markov chain Monte Carlo algorithm Modified Weibull distribution https://jsm.yazd.ac.ir/article_3358_9dd1de33e219d6c4e95a1c6e7e8b1a01.pdf