Determination of reactivity ratios for acrylic acid and its dimer from classical parameter estimation and Bayesian approach

被引:5
作者
Hungenberg, Klaus-Dieter [1 ]
Schwede, Christian [2 ]
Wulkow, Michael [3 ]
Wulkow, Niklas [4 ]
机构
[1] Hungenberg Consultant, Ortsstr 135, D-69488 Birkenau, Germany
[2] BASF SE, Ludwigshafen, Germany
[3] CiT GmbH, Rastede, Germany
[4] Free Univ Berlin, Zuse Inst Berlin, Berlin, Germany
关键词
Bayesian analysis; parameter estimation; probability distribution; reactivity ratios; COPOLYMERIZATION; DESIGN;
D O I
10.1002/cjce.24330
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The reactivity ratios of acrylic acid (AA, M-1) and its dimer beta-acroyloxypropionic acid (diAA, M-2) are determined from cumulative copolymerization data by two different methods: classical parameter estimation (PE) by minimizing the objective function and a Bayesian analysis. Classical PE gives r1=0.74 and r2=1.23 at the minimum of the residual. From the Bayesian analysis, the probability distribution of the parameter sets is obtained, revealing the existence of parameter sets with rather the same probability. The influence of the number of data and the size of the measurement error are discussed.
引用
收藏
页码:780 / 789
页数:10
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