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Tajadod, Seyed Ali Asgar, Yousefzadeh, Fatemeh, Arellano-Valle, R.B., Jomhoori, Sara. (1404). Some characteristics of tensor-variate skew-normal distribution and its application in image analysis. , (), -. doi: 10.22103/jmmr.2025.24813.1763
Seyed Ali Asgar Tajadod; Fatemeh Yousefzadeh; R.B. Arellano-Valle; Sara Jomhoori. "Some characteristics of tensor-variate skew-normal distribution and its application in image analysis". , , , 1404, -. doi: 10.22103/jmmr.2025.24813.1763
Tajadod, Seyed Ali Asgar, Yousefzadeh, Fatemeh, Arellano-Valle, R.B., Jomhoori, Sara. (1404). 'Some characteristics of tensor-variate skew-normal distribution and its application in image analysis', , (), pp. -. doi: 10.22103/jmmr.2025.24813.1763
Tajadod, Seyed Ali Asgar, Yousefzadeh, Fatemeh, Arellano-Valle, R.B., Jomhoori, Sara. Some characteristics of tensor-variate skew-normal distribution and its application in image analysis. , 1404; (): -. doi: 10.22103/jmmr.2025.24813.1763

Some characteristics of tensor-variate skew-normal distribution and its application in image analysis

Journal of Mahani Mathematical Research
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 تیر 1404    اصل مقاله (909.82 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22103/jmmr.2025.24813.1763
نویسندگان
Seyed Ali Asgar Tajadod1؛ Fatemeh Yousefzadeh* 1؛ R.B. Arellano-Valle2؛ Sara Jomhoori1
1Department of Statistics, University of Birjand, Birjand, Iran
2Department of Estadistica, Pontificia Universidad Catolica de Chile, Santiago, Chile
چکیده
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.
کلیدواژه‌ها
Kronecker-separable covariance؛ Multidimensional array؛ Tensor؛ Skew distributions؛ EM algorithm
مراجع
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