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Some results concerning asymptotic distribution of functional linear regression with points of impact | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 7، دوره 5، شماره 4، 2024، صفحه 377-383 اصل مقاله (893.56 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2023.22629.1181 | ||
| نویسندگان | ||
| Alireza Shirvani1؛ Omid Khademnoe2؛ Mohammad Hosseini Nasab* 1 | ||
| 1Department of Statistics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran | ||
| 2Department of Statistics, Faculty of Sciences, University of Zanjan, Zanjan, Iran | ||
| چکیده | ||
| Lately, issues related to functional linear regression models with points of impact have garnered significant interest. While the literature has addressed the estimation of parameters for this model with scalar response, less attention has been paid to the asymptotic distribution of the impact points coefficients estimators. In recent literature, the asymptotic distribution has been pointed out in a particular case, but the demonstration of its validity has not been adequately addressed. By explicating the necessary requirements, we derive an important part of the asymptotic distribution of the impact points coefficients estimators in a general setting. This is a fundamental result for finding the asymptotic distribution of the impact points coefficients estimators. Moreover, we perform a simulation study to exhibit the efficiency of the obtained results. | ||
| کلیدواژه‌ها | ||
| Functional linear regression model؛ Functional principal component analysis؛ Point of impact؛ Asymptotic distribution | ||
| مراجع | ||
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[1] C. Crambes, A. Kneip, and P. Sarda, Smoothing splines estimators for functional linear regression, Ann. Statist., 37 (2009), pp. 35–72.
[2] A. Delaigle and P. Hall, Methodology and theory for partial least squares applied to functional data, Ann. Statist., 40 (2012), pp. 322–352.
[3] P. Hall and J. L. Horowitz, Methodology and convergence rates for functional linear regression, Ann. Statist., 35 (2007), pp. 70–91.
[4] O. Khademnoe and S. M. E. Hosseini-Nasab, On asymptotic distribution of prediction in functional linear regression, Statistics, 50 (2016), pp. 974–990.
[5] A. Kneip, D. Poss, and P. Sarda, Functional linear regression with points of impact, Ann. Statist., 44 (2016), pp. 1–30.
[6] D. Liebl, S. Rameseder, and C. Rust, Improving estimation in functional linear regression with points of impact: insights into Google AdWords, J. Comput. Graph. Statist., 29 (2020), pp. 814–826.
[7] I. W. McKeague and B. Sen, Fractals with point impact in functional linear regression, Ann. Statist., 38 (2010), pp. 2559–2586.
[8] H. Shi and J. Cao, Robust functional principal component analysis based on a new regression framework, J. Agric. Biol. Environ. Stat., 27 (2022), pp. 523–543.
[9] A. Shirvani, O. Khademnoe, and S. Hosseini-Nasab, Some asymptotic properties of functional linear regression model with points of impact, Journal of Statistical Modelling: Theory and Applications, 3 (2022), pp. 71–81.
[10] A. W. van der Vaart, Asymptotic statistics, vol. 3 of Cambridge Series in Statistical and Probabilistic Mathematics, Cambridge University Press, Cambridge, 1998.
[11] J. Zhou, N.-Y. Wang, and N. Wang, Functional linear model with zero-value coefficient function at sub[1]regions, Statist. Sinica, 23 (2013), pp. 25–50. | ||
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