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中国科学院大学学报 ›› 2000, Vol. 17 ›› Issue (1): 1-7.

• 论文 •    下一篇

有重复观测时半线性EV模型参数估计的强相合性(英文)

张三国, 陈希孺   

  1. 中国科学技术大学研究生院数学教学部, 北京, 100039
  • 收稿日期:2000-09-25 发布日期:2000-01-15

Strong Consistency Of Parameter Estiiviation For Semi-lin Ear Errors-in-variables Model With Replicated Observations

Zhang San-guo, Chen Xi-ru   

  1. Department of Mathematics, Graduate School, University of Science and Technology of China, Beijing 100039
  • Received:2000-09-25 Published:2000-01-15
  • Supported by:

    This projecte dissupported by the National Natural Science Foundation of China(19631040)

摘要:

研究了在一些试验点有重复观测时自变量非随机的半线性EV模型。分别给出了线性参数和非线性部分的估计,并在适当的条件下证明了它们是强相合的。

关键词: 半线性模型, ErrorsinVariables模型, 强相合性, 有重复观测

Abstract:

This paper studies, in case that replicated observations are available in some experimental points, the semi-linear errors-in-variables model in which independent variables are non-random.Estimation of linear parameters and nonlinear component are given, and their strong consistency are established under moderate conditions.

Key words: semi-linear model, errors-in-variables model, strong consistency, replicated observatrons