Optimal linear estimator of origin-destination flows with redundant data

Optimal linear estimator of origin-destination flows with redundant data

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Article ID: iaor20108919
Volume: 181
Issue: 1
Start Page Number: 709
End Page Number: 722
Publication Date: Dec 2010
Journal: Annals of Operations Research
Authors:
Keywords: networks: flow
Abstract:

Suppose given a network endowed with a multiflow. We want to estimate some quantities connected with this multiflow, for instance the value of an st flow for one of the sources‐sinks pairs st, but only measures on some arcs are available, at least on one st cocycle (set of arcs having exactly one endpoint in a subset X of vertices with sX and tX). These measures, supposed to be unbiased, are random variables whose variances are known. How can we combine them optimally in order to get the best estimator of the value of the st flow?

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