Measurement modelling: foundations and probabilistic approach

The role of modelling in science and in measurement is first discussed. This is followed by a section on modelling in measurement, either for founding the meas- urability of a characteristic or for performing a measure- ment. A general probabilistic model of the measurement process, capable of addressing calibration, static and dy- namic measurement, is then examined. To demonstrate the application of the model, a working example is developed in detail. Lastly, the current status of measurement modelling is reviewed and commented.

[1]  R. C. Michelini,et al.  Assessing measurement uncertainty in quality engineering , 1996, Quality Measurement: The Indispensable Bridge between Theory and Reality (No Measurements? No Science! Joint Conference - 1996: IEEE Instrumentation and Measurement Technology Conference and IMEKO Tec.

[2]  R.Z. Morawski,et al.  Unified approach to measurand reconstruction , 1993, 1993 IEEE Instrumentation and Measurement Technology Conference.

[3]  Giovanni Battista Rossi.  Probabilistic inferences related to the measurement process , 2010 .

[4]  Giovanni Battista Rossi.  An attempt to interpret some problems in measurement science on the basis of Kuhn’s theory of paradigms , 2006 .

[5]  Roman Z. Morawski.  REALISTS' VS. INSTRUMENTALISTS' UNDERSTANDING OF MEASUREMENT , 2003 .

[6]  Giovanni Battista Rossi,et al.  A probabilistic approach to the analysis of measurement processes , 2008 .

[7]  Michele Marsonet.  The Problem of Realism , 2002 .

[8]  S. Standard.  GUIDE TO THE EXPRESSION OF UNCERTAINTY IN MEASUREMENT , 2006 .

[9]  Giovanni Battista Rossi,et al.  Measurement involving human perception and interpretation , 2011 .

[10]  P. Rossi.  La nascita della scienza moderna in Europa , 1998 .

[11]  Giovanni Battista Rossi,et al.  METROLOGY SOFTWARE FOR THE EXPRESSION OF MEASUREMENT RESULTS BY DIRECT CALCULATION OF PROBABILITY DISTRIBUTIONS , 2004 .

[12]  Jeff Gill,et al.  What are Bayesian Methods , 2008 .

[13]  I. Hacking.  An Introduction to Probability and Inductive Logic , 2001 .

[14]  Giovanni Battista Rossi.  A probabilistic theory of measurement , 2006 .

[15]  Luca Mari,et al.  Epistemology of measurement , 2003 .

[16]  Nicola Abbagnano.  Storia della filosofia , 1974 .

[17]  Giovanni Battista Rossi.  Probability in Metrology , 2009 .

[18]  Franco Pavese,et al.  Data modeling for metrology and testing in measurement science , 2009 .

[19]  Klaus-D. Sommer,et al.  Modelling of Measurements, System Theory and Uncertainty Evaluation , 2009 .

[20]  Ignacio Lira,et al.  Evaluating the Measurement Uncertainty , 2002 .