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首页> 外文期刊>Macromolecular theory and simulations >Reactivity Ratio Estimation in Non-Linear Polymerization Models using Markov Chain Monte Carlo Techniques and an Error-In-Variables Framework
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Reactivity Ratio Estimation in Non-Linear Polymerization Models using Markov Chain Monte Carlo Techniques and an Error-In-Variables Framework

机译:马尔可夫链蒙特卡罗技术和变量误差框架在非线性聚合模型中的反应率估算

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摘要

Reactivity ratio estimation was carried out in various nonlinear models using Markov Chain Monte Carlo (MCMC) technique and an error-in-variables (EVM) regression model. The implementation steps for three different polymerization case studies are discussed in detail and the results from this work are compared to previously used approximation methods. Approximation techniques that rely on linear regression theory are shown to produce inaccurate joint confidence regions (JCRs). Therefore, in this paper, we explore MCMC techniques that can be used to produce JCRs with correct shape and probability content. In addition, the paper illustrates how an EVM model can be used in tackling any type of regression problem, including multi-response problems.
机译:使用马尔可夫链蒙特卡洛(MCMC)技术和变量误差(EVM)回归模型在各种非线性模型中进行了反应率估计。详细讨论了三种不同聚合案例研究的实施步骤,并将这项工作的结果与以前使用的近似方法进行了比较。依赖于线性回归理论的近似技术显示出产生不准确的联合置信区域(JCR)。因此,在本文中,我们探索了可用于生产具有正确形状和概率内容的JCR的MCMC技术。此外,本文还说明了如何使用EVM模型解决任何类型的回归问题,包括多响应问题。

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