### Abstract

As an example, the solubility of naphthalene in supercritical CO and C_{2}H_{4}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 σ^{2}
_{Δy} is very far from being proportional to y^{2}, therefore the use of constant relative error is not justified. In the case of the given solid-fluid equilibrium examples, weights based on constant relative error assumption overemphasize the steep part of the curve where all models fail. None of the models examined were able to describe C_{2}H_{4}-naphthalene equilibrium. For CO_{2}-naphthalene the BMRK model proved to be better than the other equations of state investigated.

Original language | English |
---|---|

Pages (from-to) | 171-190 |

Number of pages | 20 |

Journal | Fluid Phase Equilibria |

Volume | 100 |

Issue number | C |

DOIs | |

Publication status | Published - Sep 15 1994 |

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### Keywords

- equation of state
- methods of calculation
- mixtures
- solid - fluid equilibria
- theory

### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes
- Physical and Theoretical Chemistry

### Cite this

**Role of weighting in parameter estimation from solid-fluid supercritical equilibrium data.** / Deák, A.; Kemény, S.

Research output: Contribution to journal › Article

*Fluid Phase Equilibria*, vol. 100, no. C, pp. 171-190. https://doi.org/10.1016/0378-3812(94)80008-1

}

TY - JOUR

T1 - Role of weighting in parameter estimation from solid-fluid supercritical equilibrium data

AU - Deák, A.

AU - Kemény, S.

PY - 1994/9/15

Y1 - 1994/9/15

N2 - As an example, the solubility of naphthalene in supercritical CO and C2H4were 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 σ2 Δy is very far from being proportional to y2, therefore the use of constant relative error is not justified. In the case of the given solid-fluid equilibrium examples, weights based on constant relative error assumption overemphasize the steep part of the curve where all models fail. None of the models examined were able to describe C2H4-naphthalene equilibrium. For CO2-naphthalene the BMRK model proved to be better than the other equations of state investigated.

AB - As an example, the solubility of naphthalene in supercritical CO and C2H4were 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 σ2 Δy is very far from being proportional to y2, therefore the use of constant relative error is not justified. In the case of the given solid-fluid equilibrium examples, weights based on constant relative error assumption overemphasize the steep part of the curve where all models fail. None of the models examined were able to describe C2H4-naphthalene equilibrium. For CO2-naphthalene the BMRK model proved to be better than the other equations of state investigated.

KW - equation of state

KW - methods of calculation

KW - mixtures

KW - solid - fluid equilibria

KW - theory

UR - http://www.scopus.com/inward/record.url?scp=0028501836&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028501836&partnerID=8YFLogxK

U2 - 10.1016/0378-3812(94)80008-1

DO - 10.1016/0378-3812(94)80008-1

M3 - Article

AN - SCOPUS:0028501836

VL - 100

SP - 171

EP - 190

JO - Fluid Phase Equilibria

JF - Fluid Phase Equilibria

SN - 0378-3812

IS - C

ER -