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数学与物理
统计学与应用
Vol. 9 No. 4 (August 2020)
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响应变量缺失下变系数部分非线性模型的统计推断
Statistical Inferences for Varying Coefficient Partially Nonlinear Model with Missing Responses
DOI:
10.12677/SA.2020.94070
,
PDF
,
被引量
作者:
夏立奇
:山东师范大学,数学与统计学院,山东 济南
关键词:
变系数部分非线性模型
;
轮廓非线性最小二乘
;
缺失响应变量
;
Varying Coefficient Partially Nonlinear Model
;
Profile Nonlinear Least-Squares Estimation
;
Missing Responses
摘要:
本论文考虑响应变量缺失下变系数部分非线性模型的统计推断,我们采用完全数据方法下的轮廓非线性最小二乘来估计未知参数和非参函数,同时建立了估计量的渐近正态性。
Abstract:
In this paper, we consider statistical inferences for varying coefficient partially nonlinear model with missing responses. The profile nonlinear least-squares estimation process based on the complete data method is employed to estimate the unknown parameter and the nonparametric function, and the asymptotic normality of the resulting estimators is proved.
文章引用:
夏立奇. 响应变量缺失下变系数部分非线性模型的统计推断[J]. 统计学与应用, 2020, 9(4): 676-683.
https://doi.org/10.12677/SA.2020.94070
参考文献
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