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混合整数线性模型参数最小二乘估计的弱相合性

The Weak Consistency of LS Estimates in Mixed Integer Linear Model
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摘要 在GPS和测绘等领域中,混合整数线性模型是非常重要的一种模型。本文在混合整数线性模型参数的最小二乘估计的基础上,证明了该估计量的弱相合性。Monte Carlo模拟验证表明,各参数估计的相合效果明显。 Mixed integer linear model is a very important model in GPS and surveying and mapping, etc. Based on the LS estimates of parameters in mixed integer linear model,this paper proved their weak consistency, and further testified it by computer simulation with data generated by Monte Carlo method.
出处 《数学理论与应用》 2009年第2期87-91,共5页 Mathematical Theory and Applications
关键词 混合整数线性模型 最小二乘估计 弱相合性 Mixed integer linear model LS estimate Weak consistency
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参考文献2

  • 1Teunissen PJG. Least squares estimation of the integer GPS ambiguities[J] .Invited lecture,Section Ⅳ Theory and Methodology, IAG General Meeting, Beijing, 1993.
  • 2Teunissen PJG.The probability distribution of the GPS baseline for a class of integer ambiguity estimators[J] .Journal of Geodesy,73:275 - 284.

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