测绘学报 ›› 2014, Vol. 43 ›› Issue (5): 441-445.

• 学术论文 •    下一篇

自适应参数估计与内外部精度的关系

杨元喜1,景一帆2,曾安敏   

  • 收稿日期:2013-12-23 修回日期:2014-02-23 出版日期:2014-05-20 发布日期:2014-06-05
  • 通讯作者: 景一帆 E-mail:jing_yi_fan@163.com
  • 基金资助:

    国家863计划;国家863计划;国家自然科学基金;国家自然科学基金;国家自然科学基金;国家自然科学基金

Adaptive Parameter Estimation and Inner and External Precision

  • Received:2013-12-23 Revised:2014-02-23 Online:2014-05-20 Published:2014-06-05

摘要:

随机模型可以依据内部精度进行自适应调整,也可依据外部精度或依据半外部精度进行自适应调整。本文首先分析测量数据处理近几年发展起来的自适应参数估计统计量。分析发现,现有随机模型自适应估计都与内部精度、外部精度或半外部精度有关,进而将相应的参数估计也分为内部、外部和半外部自适应参数估计,并对这几类自适应参数估计的特点也进行了分析。最后利用算例分析这几类自适应估计的主要性质,指出这几类自适应估计的应用前提和存在的问题。

关键词: 内部精度, 外部精度, 随机模型, 自适应参数估计

Abstract:

The stochastic model can be adaptively adjusted according to inner precision, external accuracy and semi external accuracy. The statistics correspond to the adaptive estimation developed these years are analyzed respectively at first. It is shown by analysis that the existing adaptive parameter estimators are related to the inner precision, external accuracy and semi external accuracy. Thus the corresponding adaptive estimators are divided into inner precision-based, external accuracy-based and semi external accuracy-based adaptive estimators respectively. The characteristics of the different adaptive estimators are analyzed. Some examples are performed for analyzing their main properties. Finally, the premise of applications and some existed problems are pointed out.

Key words: inner precision, external accuracy, stochastic model, adaptive parameter estimation