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基于比例优势模型的贝叶斯判别分析方法

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提出一种基于比例优势模型的贝叶斯判别分析方法,结合比例优势模型和贝叶斯统计的优点,可用于有序多分类问题的建模和预测,该方法具有很强的实用性.统计模拟表明,改进后的判别方法与传统判别方法在总体数据符合正态分布时二者判别能力相当,否则提出的新方法能够更好地判别不同的数据特征.同时运用新方法分析真实的数据集,证明该方法在分类预测中的有效性和优越性.
A Bayesian Discriminant Analysis Method Based on Proportional Odds Models
A Bayesian discriminant analysis method based on the proportional odds model is pro-posed,which combines the advantages of the proportional odds model and Bayesian statistics,and can be used for the modelling and prediction of ordered multi-classification problems.Statistical simula-tions show that the improved discriminant method and the traditional discriminant method have com-parable discriminant abilities when the overall data conform to normal distribution,otherwise,the pro-posed new method can better discriminate different data features.Meanwhile,the new method is ap-plied to analyse the real data set,which proves the effectiveness and superiority of the method in clas-sification prediction.

density ratio modelbayesian discriminant analysisproportional odds modelempirical likelihood

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南京财经大学应用数学学院,江苏南京 210023

密度比模型 贝叶斯判别分析法 比例优势模型 经验似然

国家自然科学基金资助项目

11001119

2024

淮阴师范学院学报(自然科学版)
淮阴师范学院

淮阴师范学院学报(自然科学版)

影响因子:0.259
ISSN:1671-6876
年,卷(期):2024.23(3)
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