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粗差和系统误差显著性检验统计量统一推导新方法

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基于均值平移模型的数据探测法和附加系统参数的平差法是目前处理粗差和系统误差的重要方法,其函数模型形式一致,故关于二者的显著性检验统计量理论上可做统一推导.不同于已有文献,文中提出一种统一推导的新方法.新方法的思路更符合数理统计中构造显著性检验统计量的一般思路,具有简洁且易于理解的特点.此外,新方法还具有较强的普适性,除参数平差外,需要时还可用于其他平差方法的粗差与系统误差显著性检验统计量推导.
A New Unified Deriving Method for Gross Error and Systematic Error Significance Test Statistics
The data snooping based on mean shift model and the adjustment method with additional system parame-ters are currently important methods for handling gross errors and systematic errors.Their function models have the same form,so the significance test statistics can be theoretically derived uniformly.Unlike existing literatures,a new unified deriving method has been proposed.The new method conforms to the general idea of constructing sig-nificance test statistics in mathematical statistics,and has the characteristics of simplicity and easy understanding,enriching existing deriving methods.In addition,the new method also has wider applications,and it can also be used to derive gross error and systematic error significance test statistics for other adjustment methods besides pa-rameter adjustment when needed.

gross errorsystematic errorsignificance teststatisticsunified derivationnew method

刘长建、王敏、冯绪、张熙

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信息工程大学,河南 郑州 450001

智慧地球重点实验室,北京 100080

61363 部队,陕西 西安 710054

粗差 系统误差 显著性检验 统计量 统一推导 新方法

2024

测绘科学技术学报
信息工程大学科研部

测绘科学技术学报

影响因子:0.594
ISSN:1673-6338
年,卷(期):2024.40(5)