I Lira 2009 Metrologia 46 L27 doi:10.1088/0026-1394/46/6/L01
I Lira
Show affiliationsSupplement 1 to the Guide to the Expression of Uncertainty in Measurement states that if a best estimate and associated standard uncertainty are the only information available regarding a certain quantity, then, according to the principle of maximum entropy, a Gaussian probability distribution with support on the real line should be assigned to that quantity. This recommendation holds true if one does not know the range of the possible values of the quantity. However, usually such a range will also be known. It is shown that in this case a Gaussian distribution supported on (−∞, ∞) can be used, but only if the standard uncertainty is sufficiently small. Otherwise, the parameters of the distribution have to be computed numerically.
06.20.fb Standards and calibration
Issue 6 (December 2009)
Received 26 August 2009, in final form 1 October 2009
Published 26 October 2009
I Lira 2009 Metrologia 46 L27
Christos Charmousis and Ruth Gregory 2004 Class. Quantum Grav. 21 527
M Hajizadeh-Saffar et al 1990 Phys. Med. Biol. 35 1301
Y Haidar et al 2005 Metrologia 42 115
G Abadal et al 2001 Nanotechnology 12 100
Li Xumo et al 1982 Metrologia 18 203
G T Clement and K Hynynen 2002 Phys. Med. Biol. 47 1219
S Hild et al 2007 Class. Quantum Grav. 24 1513
D S Broomhead et al 1987 J. Phys. A: Math. Gen. 20 L563
Patrick L T M Frederix et al 2005 Nanotechnology 16 997