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SCAD regression model selection with information criteria for multivariate response models | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 7، دوره 6، شماره 4، 2025، صفحه 353-360 اصل مقاله (430.11 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2024.22963.1208 | ||
| نویسندگان | ||
| Amirhossein Ghatari؛ Omid Naghshineh Arjmand* ؛ Mina Aminghafari | ||
| Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran | ||
| چکیده | ||
| This paper provides an objective function for smoothly clipped absolute deviation (SCAD) regression models with multivariate responses. The log-likelihood of a multivariate normal distribution is considered instead of $L_2$ norm to create the model's objective function. Additionally, the SCAD penalty has a tuning parameter, and the information criteria, suitable for the proposed model are presented to select the tuning parameter. Based on numerical studies, the consistency of the proposed information criteria is checked via simulation experiments. Moreover, the best criterion is introduced using simulated and real datasets. | ||
| کلیدواژهها | ||
| Consistency؛ Multivariate response؛ SCAD penalty؛ Tuning parameter | ||
| مراجع | ||
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