https://orcid.org/0000-0003-4332-5182
![Sample our Computer Science journals, sign in here to start your access, latest two full volumes FREE to you for 14 days]({"type":"image" , "src" : "/sda/5928/TOC-Subject-Sample-2021-Computer-Science.jpg"})
Abstract
This paper considers the estimation for a partial index additive regression model, when the response variable and covariates in the index part are observed with additive distortion measurement errors. For the index parameter, the dimension-reduction based estimators with or without additive distortion measurement errors are proposed. This new estimation method is further adopted to the partial linear models for parameter estimation. We study the asymptotic properties of the proposed estimators. Simulation studies are conducted to compare the proposed estimation methods.
MATHEMATICS SUBJECT CLASSIFICATION (2000):
Additional information
Funding
Yujie Gai’s research was supported by Discipline Construction Funds of Central University of Finance and Economics, and also supported by Program for Innovation Research in Central University of Finance and Economics [Grant No. 020250319007]. Sanying Feng’s research was supported by the National Natural Science Foundation of China [Grant No. 11501522], and also supported by the National Statistical Science Research Project of China [Grant No. 2019LY18].