Probabilistic inversion: a preliminary discussion

2014 Joint IMEKO TC1-TC7-TC13 Symposium: Measurement Science Behind Safety and Security

Rossi, Giovanni Battista^1 ; Crenna, Francesco^1

Laboratorio di Misure, Università Degli Studi di Genova-DIME/MEC, Genova, Italy^1

关键词: Inverse functions;    Measurement uncertainty;    Probabilistic inversion;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/588/1/012039/pdf
DOI  :  10.1088/1742-6596/588/1/012039

来源: IOP

【 摘 要 】

We continue the discussion on the possibility of interpreting probability as a logic, that we have started in the previous IMEKO TC1-TC7-TC13 Symposium. We show here how a probabilistic logic can be extended up to including direct and inverse functions. We also discuss the relationship between this framework and the Bayes-Laplace rule, showing how the latter can be formally interpreted as a probabilistic inversion device. We suggest that these findings open a new perspective in the evaluation of measurement uncertainty.