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arXiv 1701.08142stat.MEstat.APstat.COstat.ML
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使用Wallenius分布对偏好数据建模

Modelling Preference Data with the Wallenius Distribution

Clara Grazian, Fabrizio Leisen, Brunero Liseo

摘要:

Wallenius分布是超几何分布的推广,其中权重被分配给不同颜色的球。这自然地定义了一个用于分类目的的类别排名模型。由于,在一般情况下,由此产生的可能性是无法分析,我们采用近似贝叶斯计算(ABC)的方法来估计的重要性的类别。我们说明了模拟数据集上的估计过程的性能。最后,我们使用新的模型分析两个数据集的电影评级和意大利学术统计学家的期刊偏好。后者是作者收集的新数据集。

英文摘要:

The Wallenius distribution is a generalisation of the Hypergeometric distribution where weights are assigned to balls of different colours. This naturally defines a model for ranking categories which can be used for classification purposes. Since, in general, the resulting likelihood is not analytically available, we adopt an approximate Bayesian computational (ABC) approach for estimating the importance of the categories. We illustrate the performance of the estimation procedure on simulated datasets. Finally, we use the new model for analysing two datasets about movies ratings and Italian academic statisticians' journal preferences. The latter is a novel dataset collected by the authors.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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