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Local Least Product Relative Error Estimation for Varying Coefficient Multiplicative Regression Model 被引量:2

Local Least Product Relative Error Estimation for Varying Coefficient Multiplicative Regression Model
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摘要 In this article, we consider the varying coefficient multiplicative regression model, which is very useful to model the positive response. The criterion of least product relative error(LPRE) is extended to the varying coefficient multiplicative regression model by kernel smoothing techniques. Consistency and asymptotic normality of the proposed estimator are established. Some numerical simulations are carried out to assess the performance of the proposed estimator. As an illustration, the ethanol data is analyzed. In this article, we consider the varying coefficient multiplicative regression model, which is very useful to model the positive response. The criterion of least product relative error(LPRE) is extended to the varying coefficient multiplicative regression model by kernel smoothing techniques. Consistency and asymptotic normality of the proposed estimator are established. Some numerical simulations are carried out to assess the performance of the proposed estimator. As an illustration, the ethanol data is analyzed.
作者 Da-hai HU
机构地区 School of Management
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2019年第2期274-286,共13页 应用数学学报(英文版)
关键词 VARYING COEFFICIENT MODEL MULTIPLICATIVE regression MODEL relative error KERNEL SMOOTHING varying coefficient model multiplicative regression model relative error kernel smoothing
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