水准测量往返测较差方差之估计

Variance Estimations and Analyses of the Discrepenies Forward and Backward in Rerunning Levels

  • 摘要: 现有文献中以水准测量往返测较差为统计量估计较差方差已提出许多观点和公式,但对于较差误差模型既没有回答其正确性,也缺乏严密可行的参数估计方法。本文将方差分量的最小范数二次无偏估计(MINQUE)法用于较差方差估计,并提出了以近代回归分析原理为基础的较差误差模型统计检验与比较选择的基本方法。这些估计、分析方法既简单易行又严密合理。最后通过对部分一等水准实测数据试算分析,也初步证实了它们的实际效益。

     

    Abstract: The discrepencies forward and backward in rerunning levels are usually used as statistic in the accuracy estimate of levelling.The existing methods concerned,however,don't involve verifications on correctness of the error models for the discrepencies,even lack strict and feasible formulae for the estimate.In this paper,the MINQUE of variance components is applied to estimating the variances,and some statistical tests and optimal option of the error models are presented based on the principle of regression analysis.The methods of the estimation and analysis are not only analytically strict but also more feasible.Finally,the advantages and effectiveness of the methods are examined.through a testing computation using first-order class Ⅰ levelling of 175 sections and lines.

     

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