Combination of measurements and the BLUE method

The most accurate method to combine measurements from different experiments is to build a combined likelihood function and use it to perform the desired inference. This is not always possible for various reasons, hence approximate methods are often convenient. Among those, the best linear unbiased e...

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Bibliographic Details
Main Author: Lista, Luca
Format: Conference Proceeding
Language:English
Subjects:
Approximation
Bias
Construction methods
Uncertainty
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Summary:The most accurate method to combine measurements from different experiments is to build a combined likelihood function and use it to perform the desired inference. This is not always possible for various reasons, hence approximate methods are often convenient. Among those, the best linear unbiased estimator (BLUE) is the most popular, allowing to take into account individual uncertainties and their correlations. The method is unbiased by construction if the true uncertainties and their correlations are known, but it may exhibit a bias if uncertainty estimates are used in place of the true ones, in particular if those estimated uncertainties depend on measured values. In those cases, an iterative application of the BLUE method may reduce the bias of the combined measurement.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201713711006