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Model-averaging-based semiparametric modeling for conditional quantile prediction

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In real data analysis,the underlying model is frequently unknown.Hence,the modeling strategy plays a key role in the success of data analysis.Inspired by the idea of model averaging,we propose a novel semiparametric modeling strategy for the conditional quantile prediction,without assuming that the underlying model is any specific parametric or semiparametric model.Due to the optimality of the weights selected by leave-one-out cross-validation,the proposed modeling strategy provides a more precise prediction than those based on some commonly used semiparametric models such as the varying coefficient and additive models.Asymptotic properties are established in the proposed modeling strategy along with its estimation procedure.We conducted extensive simulations to compare our method with alternatives across various scenarios.The results show that our method provides more accurate predictions.Finally,we applied our approach to the Boston housing data,yielding more precise quantile predictions of house prices compared with commonly used methods,and thus offering a clearer picture of the Boston housing market.

asymptotic optimalityconditional quantile predictionkernel smoothingleave-one-out cross-validationmodel averagingvarying coefficient model

Chaohui Guo、Wenyang Zhang

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School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China

Department of Mathematics,University of York,York YO10 5DD,UK

2024

中国科学:数学(英文版)
中国科学院

中国科学:数学(英文版)

CSTPCD
影响因子:0.36
ISSN:1674-7283
年,卷(期):2024.67(12)