Some asymptotic properties of functional linear regression model with points of impact

سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 184

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شناسه ملی سند علمی:

JR_JSMTA-3-1_007

تاریخ نمایه سازی: 2 تیر 1403

چکیده مقاله:

The functional linear regression model with points of impact is a recent augmentation of the classical functional linear model with many practically important applications‎. ‎It is assumed that there exists an unknown number of impact points‎, ‎that is discrete observation times where the corresponding functional values possess significant influences on the response variable‎. ‎In this paper‎, ‎we obtain some asymptotic properties of the model that can be used for further statistical inferences about the response variable‎. ‎Specifically‎, ‎rates of convergence for eigenfunctions estimates of the predictor covariance operator evaluated at the impact points estimates are derived‎. ‎These are important results‎, ‎because we do not have true eigenfunctions and impact points in applications and we have to use their estimates instead.

کلیدواژه ها:

Functional Linear regression models ، Point of impact ، Principal component analysis

نویسندگان

Alireza Shirvani

Department of Statistics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

Omid Khademnoe

Department of Statistics, Faculty of Sciences, University of Zanjan, Zanjan, Iran

S. Mohammad Ebrahim Hosseini-Nasab

Department of Statistics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran