Shahid Bahonar University of Kerman Journal of Mahani Mathematical Research 2251-7952 15 2 2026 06 01 Some characteristics of tensor-variate skew-normal distribution and its application in image analysis 45 64 4904 10.22103/jmmr.2025.24813.1763 EN Seyed Ali Asgar Tajadod Department of Statistics, University of Birjand, Birjand, Iran Fatemeh Yousefzadeh Department of Statistics, University of Birjand, Birjand, Iran R.B. Arellano-Valle Department of Estadistica, Pontificia Universidad Catolica de Chile, Santiago, Chile 0000-0002-5121-9702 Sara Jomhoori Department of Statistics, University of Birjand, Birjand, Iran Journal Article 2025 02 11 In recent years, due to the increasing growth of technology and new technologies, data is obtained in more complex structures as the main component in analysis. One of these complex structures is tensors. Therefore, in order to answer this need (analysis of data with tensor structure), it is necessary to expand statistical concepts and methods in the field of data with tensor structure. On the other hand, in reality, we may also encounter skew data. Therefore, in this article, we have introduced the skew normal tensor distribution and obtained some of its important statistical properties. Subsequently, we employed the EM algorithm to obtain maximum likelihood estimates of the parameters and assessed their accuracy through simulation studies. Finally, we have shown the effectiveness of the obtained estimators with real data. https://jmmrc.uk.ac.ir/article_4904_3742467d0006aa28118d5c26c4c68d87.pdf