形变监测网的可估性问题

ESTMABILITY PROBLEMS OF DEFORMING MONITORING NETWORKS~*

本文从一般大地网可估性的无偏估计概念出发,给出了形变网的可估性定义;证明了当参数可估时,作为参数函数的量的无偏估计的统计理论与代数不变理论的一致性;推导了(无信号及有信号的)大地网与形变网的可估性条件;并讨论了大地网及形变网中一些可估性的量。这些为认识用大地测量方法定量研究现代地壳变动的客观性提供了理论基础。

The estimability of quantities in deforming monitoring networks is a fundamental problem. In this paper, from the concept of unbiased estimate for estimability on general geodetic networks, the definition of estimability in deforming networks is given, the consistency between the statistical theory of unbiased estimate and the algebraic theory of invariants for quantities as a function of parameters when which are estimable are proofed by means of a method other than that given by E. Grafarend and B. Schaffrin, the conditions of estimability in both geodetic and deforming networks with and without signals are developed, and some estimable quantities in both geodetic and deforming networks are discussed. So the theoretical bases for objective recognizing the recent crustal movements by using the quantitative research of geodetic method are supplied by means of this study.