附等式约束线性模型的验后单位权中误差最小值的估算及其应用  

Estimation of the Posterior Value of Unit Weight Mean Error for Linear Model with Equality Constraints and its Application

作　　者：谢波[1] 

机构地区：[1]重庆水利电力职业技术学院,重庆402160

出　　处：《城市勘测》2014年第3期132-134,共3页Urban Geotechnical Investigation & Surveying

摘　　要：根据附等式约束线性模型参数估计的平差过程,利用正定二次型矩阵极值的方法,解算残差二次型增量的极小值和该极小值满足的条件,推导出附等式约束线性模型参数估计的验后单位权中误差最小值的计算公式。选择该最小值作为验后单位权中误差的限差的基准值,应用于起算点兼容性检验中,验算数据验证了上述结论的正确性和有效性。According to the surveying data processing of parameter estimation for linear model with equality con-straints,use the method of extreme value of positive definite quadratic matrix ,deduce the minimum value of unit weight mean error with additional constraints and its condition .The minimum value is chosen as the datum of tolerance error of the posteriori unit weight mean estimation ,and applied to calculate the point compatibility test;the checking data verified the correctness and effectiveness of the above conclusion .

关 键 词：等式约束 线性模型 平差 验后单位权中误差 

分 类 号：P207[天文地球—测绘科学与技术]