A. Deak et S. Kemeny, ROLE OF WEIGHTING IN PARAMETER-ESTIMATION FROM SOLID FLUID SUPERCRITICAL EQUILIBRIUM DATA, Fluid phase equilibria, 100, 1994, pp. 171-190
As an example, the solubility of naphthalene in supercritical CO2 and
C2H4 were chosen. Two parameter estimation criteria were compared: use
of constant relative error and the maximum likelihood criterion, the
latter involves the use of weights derived from the error propagation
law. It was found that sigma(DELTAy)2 is very far from being proportio
nal to y2, therefore the use of constant relative error is not justifi
ed. In the case of the given solid-fluid equilibrium examples, weights
based on constant relative error assumption overemphasize the steep p
art of the curve where all models fail. None of the models examined we
re able to describe C2H4-naphthalene equilibrium. For CO2-naphthalene
the BMRK model proved to be better than the other equations of state i
nvestigated.