R B Frenkel 2009 Metrologia 46 661 doi:10.1088/0026-1394/46/6/008
Fiducial inference applied to uncertainty estimation when identical readings are obtained under low instrument resolution
R B Frenkel
Show affiliationsWhen identical readings are independently obtained under low instrument resolution d, so that a reading x implies an actual value between x − (d/2) and x + (d/2), the method of fiducial inference yields the result that the commonly assumed standard uncertainty 
applies only to the case where the input standard deviation is known to be very low, ≈ 0.03d or less. The standard uncertainty 
is the standard deviation of a rectangular distribution whose base is of length d. If there is little knowledge of the input standard deviation, the standard uncertainty is closer to 
. The standard uncertainty 
is the standard deviation of a symmetrical (isosceles) triangular distribution whose base is of length d. This latter standard uncertainty increases above as the number of identical independent readings decreases.
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Issue 6 (December 2009)
Received 10 June 2009, in final form 24 August 2009
Published 26 October 2009
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Fiducial inference applied to uncertainty estimation when identical readings are obtained under low instrument resolution
R B Frenkel 2009 Metrologia 46 661
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