| Authors | Fatemeh Yousefzadeh,seyed ali asghar tajadod,R.B. Arellano-Valle,Sarah Jomhoori |
| Journal | Journal of Mahani Mathematical Research Center |
| Page number | 45-64 |
| Serial number | 16 |
| Volume number | 1 |
| Paper Type | Full Paper |
| Published At | 2025 |
| Journal Grade | Scientific - promoting |
| Journal Type | Typographic |
| Journal Country | Iran, Islamic Republic Of |
| Journal Index | isc |
Abstract
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 struc-
ture), 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 effec-
tiveness of the obtained estimators with real data
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