1 Correction: Journal of the Korean Statistical Society https://doi.org/10.1007/s42952-022-00187-z
In the appendix section, in “Proof of Theorem 1”, a part of equations was missing.
The correct equations are as follows.
For the second term on the right-hand side of (15), we can write
where \({\varvec{r}}_{n,1}({\varvec{x}})=\big[n f_{\varvec{\theta }}({\varvec{\theta} }^{\mathrm{T}}{\varvec{x}}) {\mathbf{D}}_{\varvec{\theta }}({\varvec{\theta }}^{\mathrm{T}}{\varvec{x}}) E\{ \varphi _{\gamma }''(\epsilon ) \} \big]^{-1} \sum _{i=1}^{n} K_{h}({\varvec{\theta}}^{\mathrm{T}}{\varvec{X}}_{i0}) \varphi '_{\gamma }(\epsilon _{i}) {\varvec{Z}}_{i}\), \({\varvec{r}}_{n,2}({\varvec{x}})=\big [n f_{\varvec{\theta }}({\varvec{\theta }}^{\mathrm{T}}{\varvec{x}}) {\mathbf{D}}_{\varvec{\theta }}({\varvec{\theta }}^{\mathrm{T}}{\varvec{x}}) E\{ \varphi _{\gamma }''(\epsilon ) \} \big ]^{-1} \sum _{i=1}^{n} K_{h}({\varvec{\theta}}^{\mathrm{T}}{\varvec{X}}_{i0}) \varphi '_{\gamma }(\epsilon _{i}) \big ( {\varvec{\theta}}^{\mathrm{T}}{\varvec{X}}_{ix}/h \big ) {\varvec{Z}}_{i}.\)
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Zhao, Y., Yue, L. & Li, G. Correction: Robust MAVE for single-index varying-coefficient models. J. Korean Stat. Soc. 51, 1326 (2022). https://doi.org/10.1007/s42952-022-00190-4
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DOI: https://doi.org/10.1007/s42952-022-00190-4