Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0047-259X(02)00026-X
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dc.titleConvergence rate of the best-r-point-average estimator for the maximizer of a nonparametric regression function
dc.contributor.authorBai, Z.
dc.contributor.authorChen, Z.
dc.contributor.authorWu, Y.
dc.date.accessioned2014-10-28T05:16:56Z
dc.date.available2014-10-28T05:16:56Z
dc.date.issued2003-02
dc.identifier.citationBai, Z., Chen, Z., Wu, Y. (2003-02). Convergence rate of the best-r-point-average estimator for the maximizer of a nonparametric regression function. Journal of Multivariate Analysis 84 (2) : 319-334. ScholarBank@NUS Repository. https://doi.org/10.1016/S0047-259X(02)00026-X
dc.identifier.issn0047259X
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/105495
dc.description.abstractThe best-r-point-average (BRPA) estimator of the maximizer of a regression function, proposed in Changchien (in: M.T. Chao, P.E. Cheng (Eds.), Proceedings of the 1990 Taipei Symposium in Statistics, June 28-30, 1990, pp. 63-78) has certain merits over the estimators derived through the estimation of the regression function. Some of the properties of the BRPA estimator have been studied in Chen et al. (J. Multivariate Anal. 57 (1996) 191) and Bai and Huang (Sankhya: Indian J. Statist. Ser. A. 61 (Pt. 2) (1999) 208-217). In this article, we further study the properties of the BRPA estimator and give its convergence rate under some quite general conditions. Simulation results are presented for the illustration of the convergence rate. Some comparisons with existing estimators such as the Müller estimator are provided. © 2003 Elsevier Science (USA). All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/S0047-259X(02)00026-X
dc.sourceScopus
dc.subjectMode estimation
dc.subjectOrder statistics
dc.subjectSpacings
dc.typeReview
dc.contributor.departmentSTATISTICS & APPLIED PROBABILITY
dc.description.doi10.1016/S0047-259X(02)00026-X
dc.description.sourcetitleJournal of Multivariate Analysis
dc.description.volume84
dc.description.issue2
dc.description.page319-334
dc.description.codenJMVAA
dc.identifier.isiut000181463600008
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