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Nonparametric estimation of bivariate additive models
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6초록
In this paper we discuss the estimation of a bivariate additive model where the multivariate regression function is expressed as a sum of unknown univariate and bivariate component functions. We discuss the identifiability of the component functions and show that each component function of the model can be estimated at the optimal rate in bivariate kernel smoothing. (C) 2016 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.
키워드
Additive models; Smooth backfitting; Kernel smoothing; POLYNOMIAL SPLINES; TENSOR-PRODUCTS; REGRESSION
- 제목
- Nonparametric estimation of bivariate additive models
- 저자
- Lee, Young Kyung
- 발행일
- 2017-09
- 유형
- Article
- 권
- 46
- 호
- 3
- 페이지
- 339 ~ 348