摘要
作为假设检验在平差模型参数检验中的应用,应该建立适用于各种模型的一种假设检验统一方法。作者选择带约束的高斯-马尔柯夫模型,采用Koch〔1〕建议的线性假设约束,导出了假设检验公式,称为平差模型假设检验的统一方法。以此为基础,对于所有平差模型,都可给出相应检验公式。完整了平差模型假设检验的统一理论。本文首先给出这种统一方法,作为应用,对两种应用广泛的附加系统参数模型和滤波模型给出了相应检验公式。常用的多维粗差和一线粗差检验公式已包含在前一模型检验公式中,后一模型导出的检验公式尚未见之于其它文献。
For the application of hypothesis test to adjustment models. a unified method of
hypothesis test applicable to various adjustment models should be established. By choosing
the Gauss-Markoff Model with constraints and adopting linear hypothesis constraint sugge-
sted by Koch in 1980[1], a hypothesis test formula has been derived by the auther. The
application of this formula is referred to as the unified method of hypothesis test in adju-
stment models. Based on this. corresponding hypothesis test formulas for various adju-
stment models can be derived in the same way. thereby leading to a unified theory of
hypothesis test in adjustment models.
出处
《测绘学报》
EI
CSCD
北大核心
1991年第2期100-108,共9页
Acta Geodaetica et Cartographica Sinica
基金
国家自然科学基金资助项目