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广义高斯分布下稳健估计方法的抗差特性评价
引用本文:刘珺,邢鹏飞.广义高斯分布下稳健估计方法的抗差特性评价[J].大地测量与地球动力学,2016,36(3):257-260.
作者姓名:刘珺  邢鹏飞
摘    要:为寻求在抗差特性方面更具优势的稳健估计方法,引入能更客观地描述观测值真实分布的广义高斯分布来模拟观测值,并结合独立等权观测值的水准网和测边网算例,比较了12种常用稳健估计方法的抗差特性。研究表明,观测值服从广义高斯分布时,在与试验类似的独立等权观测值的水准网和测边网平差计算中,L1法、Danish法、German-McClure法和IGGⅢ方案是抗差特性相对更优的稳健估计方法。

关 键 词:广义高斯分布  稳健估计  抗差特性  水准网  测边网  

Evaluation of the Robustness of Robust Estimation Methods in Generalized Gaussian Distribution
LIU Jun,XING Pengfei.Evaluation of the Robustness of Robust Estimation Methods in Generalized Gaussian Distribution[J].Journal of Geodesy and Geodynamics,2016,36(3):257-260.
Authors:LIU Jun  XING Pengfei
Abstract:In order to choose the most robust estimation methods, observations are simulated by generalized Gaussian distribution (GGD),which can perfectly describe the real distribution of observations. Leveling and trilateration networks with equal weighted and independent observations are taken as examples, and simulation experiments are used to compare the robustness of 12 commonly used robust estimation methods. Our results indicate that when observations obey GGD, the L1, Danish and German-McClure methods, and the IGGⅢ scheme are relatively more efficient robust estimation methods in leveling and trilateration networks with equal weighted and independent observations; this is similar to results in simulation experiments.
Keywords:generalized Gaussian distribution  robust estimation  robustness  leveling network  trilateration network  
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