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AN EFFICIENT CALCULATION FOR INDIRECT MEASUREMENTS AND A NEW APPROACH TO THE THEORY OF INDIRECT MEASUREMENTS

机译:间接测量的有效计算和间接测量理论的新方法

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An indirect measurement is a measurement in which the value of an unknown quantity (a measurand) is estimated using measurements of other quantities (arguments) related to the measurand by a known functional dependency. This paper addresses the basic problems inherent in indirect measurements. It demonstrates that the traditional approach to estimating a measurand is biased when the dependency between the measurand and any relevant arguments is non-linear. In addition, the calculation of variance of this estimation of a measurand requires the calculation of a correlation coefficient. This calculation entails many well known problems. This paper describes an alternative technique: the Method of Reduction which is free from the above mentioned deficiencies. The Method of Reduction produces a non-biased estimate of a measurand for both linear and non-linear indirect measurements. Variance of estimation of a measurand is easy to obtain by this method and does not require a correlation coefficient at all. The Method of Reduction requires that all arguments be measured under specific plan. Because of its simple, direct quality, the Method of Reduction is proposed as the basic method used for the determination of indirect measurements. In addition to the Method of Reduction, this paper discusses the problems of estimation of errors and the uncertainty of indirect measurement results.
机译:间接测量是测量,其中使用与被测量的其他数量(参数)的测量值通过已知的功能依赖性来估计未知量(测量标准)的值。本文涉及间接测量中固有的基本问题。它表明,当测量和任何相关参数之间的依赖性是非线性的依赖性时,传统的估计估算方法被偏置。另外,测量的该估计的变化的计算需要计算相关系数。此计算需要许多众所周知的问题。本文介绍了一种替代技术:减少方法,其免于上述缺陷。减少方法产生线性和非线性间接测量的测量的非偏置估计。通过该方法易于获得测量的估计的差异,并且根本不需要相关系数。减少方法要求在特定计划下衡量所有参数。由于其简单,质量直接,因此提出了减少方法作为用于确定间接测量的基本方法。除了减少方法之外,本文讨论了误差估计的问题和间接测量结果的不确定性。

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