A L1 based probabilistic merging algorithm and its application to statistical matching

We propose to use a recently introduced merging procedure for jointly inconsistent probabilistic assessments to the statistical matching problem. The merging procedure is based on an efficient L 1 distance minimization through mixed-integer linear programming. Significance of the method can be appre...

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Bibliographic Details
Published in:Applied intelligence (Dordrecht, Netherlands) Netherlands), 2019-01, Vol.49 (1), p.112-124
Main Authors: Baioletti, Marco, Capotorti, Andrea
Format: Article
Language:English
Subjects:
Artificial Intelligence
Computer Science
Integer programming
Linear programming
Machines
Manufacturing
Matching
Mechanical Engineering
Processes
Random variables
Statistical analysis
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Summary:We propose to use a recently introduced merging procedure for jointly inconsistent probabilistic assessments to the statistical matching problem. The merging procedure is based on an efficient L 1 distance minimization through mixed-integer linear programming. Significance of the method can be appreciated whenever among quantities (events) there are logical (structural) constraints and there are different sources of information. Statistical matching problem has these features and is characterized by a set of random (discrete) variables that cannot be jointly observed. Separate observations share anyhow some common variable, and this, together with structural constraints, make sometimes inconsistent the estimates of probability occurrences. Even though estimates on statistical matching are mainly conditional probabilities, inconsistencies appear only on events with the same conditioning, hence the correction procedure can be easily reduced to unconditional cases and the aforementioned procedure applied.
ISSN:0924-669X
1573-7497
DOI:10.1007/s10489-018-1233-z