Bayesian inference of a negative quantity from positive measurement results

Details Bayesian inference of a negative quantity from positive measurement results Bayesian inference of a negative quantity from positive measurement results

2009-02-17

arxiv.org/abs/0902.2994v1

Statistics

Methodology

10 pages, 4 figures, submitted to Metrologia

Scientific paper

10.1088/0026-1394/46/3/014

In this paper the Bayesian analysis is applied to assign a probability density to the value of a quantity having a definite sign. This analysis is logically consistent with the results, positive or negative, of repeated measurements. Results are used to estimate the atom density shift in a caesium fountain clock. The comparison with the classical statistical analysis is also reported and the advantages of the Bayesian approach for the realization of the time unit are discussed.

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