Linear mixed model based on mean mixture of multivariate normal distributions: A flexible estimate based on missing value
نویسندگان
1 Department of Statistics, Faculty of Mathematics, University of Kashan, Kashan, Iran
2 Department of Statistics, Faculty of Mathematics, University of Kashan, Kashan, Iran
doi
10.22034/jsmta.2025.22218.1160چکیده
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.