Understanding Linkages Among Mixture Models

Understanding Linkages Among Mixture Models
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了解混合模型之间的联系

DOI:
10.1080/00273171.2013.827564
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发表时间:
2013
影响因子:
3.8
通讯作者:
S. Sterba
S. Sterba
中科院分区:
心理学3区
文献类型:
--
作者:
S. Sterba

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在过去的15年里,关于混合建模的方法论文献迅速扩大,混合模型在实践中的应用也越来越多。尽管如此,这些文献在历史上一直是分散的,不同的符号、动机和参数使混合模型看起来脱节。这一教学回顾有助于对混合模型的综合理解。首先,5个原型混合模型以一种统一的格式呈现,具有递增的复杂性,同时强调它们相互依赖于熟悉的概率定律、共同的假设和共同的解释方面。其次,讨论了最近的两个扩展--混合混合和并行处理混合。两者都放松了经典混合模型的一个关键假设,但方式不同。强调了混合混合物之间和平行过程混合物之间在构造和解释方面的相似性。第三,这两种延伸的结合是有理据的,并通过一个对立、违抗和抑郁症状的例子来说明。通过澄清现有混合模型之间的关系以及如何组合,本文为过去和当前的发展架起了桥梁,并为理解新的发展提供了基础。
The methodological literature on mixture modeling has rapidly expanded in the past 15 years, and mixture models are increasingly applied in practice. Nonetheless, this literature has historically been diffuse, with different notations, motivations, and parameterizations making mixture models appear disconnected. This pedagogical review facilitates an integrative understanding of mixture models. First, 5 prototypic mixture models are presented in a unified format with incremental complexity while highlighting their mutual reliance on familiar probability laws, common assumptions, and shared aspects of interpretation. Second, 2 recent extensions—hybrid mixtures and parallel-process mixtures—are discussed. Both relax a key assumption of classic mixture models but do so in different ways. Similarities in construction and interpretation among hybrid mixtures and among parallel-process mixtures are emphasized. Third, the combination of both extensions is motivated and illustrated by means of an example on oppositional defiant and depressive symptoms. By clarifying how existing mixture models relate and can be combined, this article bridges past and current developments and provides a foundation for understanding new developments.
DOI: 10.1111/j.1469-7610.2010.02234.x
发表时间: 2010
期刊: Journal of child psychology and psychiatry, and allied disciplines
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