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The relation between swell shrinking property of expansive soils and swell shrinking parameters of expansive soils is not known entirely. That is to say, our knowledge is vegue of fuzzy mathematics in classification of expansive soils for expressway from Dangyang to Yichang is applied in this paper. Satisfactory results are acquired. 膨胀土胀缩性与指标集之间的关系尚未完全弄清,存在较大的模糊性。应用模糊数学理论对当宜高速公路膨胀土胀缩等级进行分类,该方法通过验证是可行的。 The parameter estimation problem in parameter adjustment model is considered when outliers and ill conditioning exist simultaneously.A class of new estimators,shrunken type robust estimators,are proposed by grafting the biased estimation techniques philosophy into the robust estimator,and their properties are discussed.By appropriate choices of the shrinking parameter matrix,we obtain many useful and important estimators.A numerical example demonstrates the validity of the methods presented... The parameter estimation problem in parameter adjustment model is considered when outliers and ill conditioning exist simultaneously.A class of new estimators,shrunken type robust estimators,are proposed by grafting the biased estimation techniques philosophy into the robust estimator,and their properties are discussed.By appropriate choices of the shrinking parameter matrix,we obtain many useful and important estimators.A numerical example demonstrates the validity of the methods presented in this paper. 讨论了测量平差中粗差和病态性同时存在时的参数估计问题。针对抗差估计不能抗拒病态性干扰的缺点 ,运用有偏估计的压缩变换方法 ,提出了一种新的估计——压缩型抗差估计 ,理论分析和模拟计算表明 ,新估计不但能有效地减免粗差的影响 ,而且能显著地消除病态性的干扰 ,是一种性能良好的估计。 The parameter estimation problem in linear model is considered when multicollinearity and outliers exist simultaneously.A class of new estimators,robust general shrunken estimators,are proposed by grafting the robust estimation techniques philosophy into the biased estimator,and their statistical properties are discussed.By appropriate choices of the shrinking parameter matrix,we obtain many useful and important estimators.A numerical example is used to illustrate that these new estimators can not... The parameter estimation problem in linear model is considered when multicollinearity and outliers exist simultaneously.A class of new estimators,robust general shrunken estimators,are proposed by grafting the robust estimation techniques philosophy into the biased estimator,and their statistical properties are discussed.By appropriate choices of the shrinking parameter matrix,we obtain many useful and important estimators.A numerical example is used to illustrate that these new estimators can not only effectively overcome difficulty caused by multicollinearity but also resist the influence of outliers. :本文讨论复共线性和粗差同时存在时线性模型的参数估计问题 .基于等价权原理提出了一个稳健有偏估计类 (稳健压缩估计 ) ,并且建立了稳健压缩估计的计算方法 .为了满足实际问题的需要 ,构造了许多很有意义的稳健有偏估计 ,例如稳健岭估计、稳健主成分估计、稳健组合主成分估计、稳健单参数主成分估计、稳健根方估计等等 .最后通过一个算例表明 ,本文提出的稳健有偏估计具有既可克服复共线性影响又可抵抗粗差干扰的良好性质
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