郑州大学学报（理学版）
鄭州大學學報（理學版）
정주대학학보（이학판）
Journal of Zhengzhou University (Natural Science Edition)
2015年
3期
17-20
,共4页
非参数回归%误差方差%样条估计%混合%相合性
非參數迴歸%誤差方差%樣條估計%混閤%相閤性
비삼수회귀%오차방차%양조고계%혼합%상합성
nonparametric regression%error variance%spline estimate%mixing%consistency
针对具有固定设计和混合相依误差的非参数回归模型，构造了误差方差的多项式样条估计，证明了估计量的相合性，并且通过模拟算例说明了估计方法的可行性。
針對具有固定設計和混閤相依誤差的非參數迴歸模型，構造瞭誤差方差的多項式樣條估計，證明瞭估計量的相閤性，併且通過模擬算例說明瞭估計方法的可行性。
침대구유고정설계화혼합상의오차적비삼수회귀모형，구조료오차방차적다항식양조고계，증명료고계량적상합성，병차통과모의산례설명료고계방법적가행성。
Nonparametric regression models with fixed design and mixing dependent errors were consid-ered. A polynomial spline estimate of error variance was constructed, and weak consistency of the estima-tor was proved. Meanwhile, the feasibility of the estimation was illustrated by a simulated example.
