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›› 2000, Vol. 17 ›› Issue (1): 1-7.

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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 Online:2000-01-15
  • Supported by:

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

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