近代平差理论的扩充

An Extended Approach for the Contemporary Theory of Error Adjustment

摘要: 本文在推证了用广义逆表达的随机参数最优线性无偏估计公式基础上,导出了滤波、推估和配置等广义估计公式,其特点是观测值的协方差阵不要求满秩。最后,作者提出了参数为随机的自由网平差新方法。

Abstract: On the basis of deducting the best linear unbiased estimation of stochastic parameters by applying the generalized matrix inverses,the generalized estimate formulas of filtering prediction and collocation etc.are obtained,the advantage being that the covariance matrix of the observations need not necessarily be full rank.Finally,a new method concerning the adjustment of free networks with stochastic parameters is given.