W Bich 2003 Metrologia 40 306 doi:10.1088/0026-1394/40/6/002
W Bich
Show affiliationsThe techniques used for generating multiples and submultiples of the kilogram are reviewed, and their historical evolution is outlined. Emphasis is given to estimation of the values of the measurands, in connection with the need for prior knowledge about them. This need has deep motivation and implies the introduction of constraints on their values. The alternatives of deterministic constraints, leading to the Lagrangian multipliers method, and uncertain constraints, leading to the minimum variance estimator, are discussed, as well as the mathematical relationship between the two methods.
Issue 6 (December 2003)
Received 1 July 2003
Published 27 November 2003
W Bich 2003 Metrologia 40 306
K B Joshi and U Paliwal 2009 Phys. Scr. 80 055601
Daniel C Cabra et al 1997 J. Phys. A: Math. Gen. 30 2699
W Möller et al 2003 Metrologia 40 S212
Jiaquan Liu and Zhi-Qiang Wang 2008 Nonlinearity 21 121
I. Lelidis and G. Barbero 2003 Europhys. Lett. 61 646
Reinhard Illge 1996 Class. Quantum Grav. 13 1499
V Kose 1995 Metrologia 31 457
A Roy (on behalf of the Osg consortium) 2009 J. Phys.: Conf. Ser. 180 012052
K Etori 1993 J. Phys. D: Appl. Phys. 26 1173