Yazd University Journal of Statistical Modelling: Theory and Applications 2676-7392 5 2 2024 07 01 Linear mixed model based on mean mixture of multivariate normal distributions‎: ‎A flexible estimate based on missing value 97 119 3760 10.22034/jsmta.2025.22218.1160 EN Farzane Hashemi Department of Statistics‎, ‎Faculty of Mathematics‎, ‎University of Kashan‎, ‎Kashan‎, ‎Iran Faranak Goodarzi Department of Statistics‎, ‎Faculty of Mathematics‎, ‎University of Kashan‎, ‎Kashan‎, ‎Iran Journal Article 2024 10 01 The purpose of this paper is to extend the linear mixed model for handling missing and {heavy-tailed} data‎. ‎In this model‎, ‎the random effects have multivariate mean mixture of normal distribution and errors arise from a multivariate normal distribution‎. ‎An expectation conditional maximization algorithm is developed for parameter estimation based on missing information‎. ‎The mechanism of missing data is missing-at-random‎. ‎Simulation studies and real data sets represent the efficiency and performance of the proposed model‎. ECM-algorithm‎ ‎Heavy-tail distribution ‎Linear mixed models ‎Mean mixture normal distribution ‎Skewness https://jsm.yazd.ac.ir/article_3760_d1268362f9b728153f556bcc2bd6a445.pdf