Comparing regression methods with non-Gaussian stable errors
نویسندگان
1 Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
2 Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
doi
10.22060/ajmc.2021.20246.1062چکیده
Nolan and Ojeda-Revah in [16] proposed a regression model with heavy-tailed stable errors. In this paper, we extend this method for multivariate heavy-tailed errors. Furthermore, A likelihood ratio test (LRT) for testing significant of regression coefficients is proposed. Also, confidence intervals based on fisher information for [16] method, called NOR, and LRT are computed and compared with well-known methods. In the end, we provide some guidance for various error distributions in heavy-tailed caese.
