University of Kashan Mathematics Interdisciplinary Research 2538-3639 11 3 2026 09 01 Some Characteristics of Tensor-Variate t and Skew-t Distributions 299 319 115686 10.22052/mir.2026.257883.1553 EN Fatemeh Yousefzadeh ‎Department of Statistics, ‎University of Birjand, ‎Birjand‎, ‎I‎. ‎R‎. ‎Iran Seyed Ali Asgar Tajadod ‎Department of Statistics, ‎University of Birjand, ‎Birjand‎, ‎I‎. ‎R‎. ‎Iran Raynaldo Boris Arellano-Valle ‎Department of Estadistica, ‎Pontificia Universidad Catolica de Chile, Santiago‎, ‎Chile Journal Article 2025 11 01 ‎In recent years‎, ‎rapid technological advances have led to the emergence of increasingly complex data structures‎, ‎among which tensor data play a central role‎. ‎To address the challenges of analyzing such data‎, ‎it is essential to extend statistical concepts and methodologies to the tensor domain‎. ‎In this paper‎, ‎we introduce the tensor-variate t‎ and skew-t distributions and derive several of their statistical properties‎. ‎Parameter estimation is carried out using the Expectation-Maximization (EM) algorithm‎, ‎and the performance of the proposed estimators is assessed through extensive simulation studies‎. ‎Finally‎, ‎the effectiveness and practical applicability of the estimators are demonstrated using real world data‎. https://mir.kashanu.ac.ir/article_115686_fd45f9f4205abeff1d66b8e38e20d93a.pdf