Test for the parametric part in partial functional linear regression based on B-spline. Issue 1 (2nd January 2021)

• Record Type: Journal Article
• Authors: Yuan, Mingao; Zhang, Yue
• Is Part Of: Communications in statistics. Volume 50:Issue 1(2021)
• Page Start: 1
• Page End: 15
• Publication Date: 2021-01-02
• Subjects: B-spline -- Hypothesis test -- Partial functional linear regression; 62G08 -- 62G20; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2019.1667391
• Languages: English
• ISSNs: 0361-0918

Abstract

Abstract: In this paper, we investigate the hypothesis test of the parametric component in partial functional linear regression model based on B-spline. The test statistic is constructed by using the residual sums of squares under the null and alternative hypothesis. We show that the limiting distribution of the test statistic under the null hypothesis is the chi-square distribution. Besides, as the sample size goes to infinity, we prove that the power of the proposed test approaches 1. The finite sample performance of our test is evaluated by a simulation study. Also, we compare our method with existing method.