用信息扩散估计进行水准网平差

信息扩散估计 (ISE)是一维参数估计中的较好方法 ,但不便于直接推广到多维参数估计中去。本文根据水准测量的特点 ,巧妙地将其推广到水准网平差这一多维参数估计中 ,部分地解决了信息扩散估计在测量数据处理中的应用问题。

Adjustment of Leveling Network by Information Spread Estimation

It is supposed that observations obey a certain distribution in all the methods of parameter estimation nowadays.But in the practical surveying, due to the different observation conditions, the observations obtained under different observation conditions may obey different distributions. So the supposition is not true.To solve the problem,Wang(1999) has developed an estimation method called information spread estimation,which is a very good estimation method for one parameter.But when the parameters are over one,the estimation method is not suitable.To apply information spread estimation to the adjustment of leveling network,this paper presents a method to use the special feature of leveling.By use of the method information spread estimation can be applied to the adjustment of leveling network conveniently. The results of the adjustment of a leveling network show when gross error is not included in the observations the estimation results obtained by information spread estimation are the same as that by least square estimation. When some gross errors are included in the observations the estimation results obtained by information spread estimation are more effective than the estimation results by least square estimation. So the method presented in this paper is a very useful method for leveling network adjustment.