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平均参数化的Conway-Maxwell-Poisson模型的有限混合物
Dongying Zhan1, Derek S Young1
1Dr. Bing Zhang Department of Statistics, University of Kentucky, 725 Rose Street, Lexington, KY 40536-0082 USA.
概括
我们介绍了一个灵活的有限混合模型,使用平均参数化的康威-马克斯韦尔-波森 (CMP) 分布来分析数量数据,在子群体中分散的差异不同. 与标准Poisson或负二项式混合相比,这种方法提供了改进的建模.
科学领域:
- 统计 统计 统计 统计
- 生物统计学 生物统计学
- 计算统计学 计算统计学
背景情况:
- 康威-马克斯韦尔-波桑分布 (CMP) 将波桑分布对过多或不足分散的计数数据进行概括.
- 经典的CMP参数化并没有直接模拟平均值,因此需要平均值参数化的版本.
- 分析具有异质分散的子群的计数数据需要先进的统计模型.
研究的目的:
- 为建构复杂计数数据提出平均参数化的CMP分布的有限混合.
- 为最大概率估计开发一个EM算法,并使用标准错误的引导.
- 通过模拟和现实世界的数据来评估拟议模型的灵活性与现有的混合模型相比.
主要方法:
- 使用平均参数化的Conway-Maxwell-Poisson分布进行有限混合模型.
- 预期-最大化 (EM) 算法用于参数估计.
- 引导用于标准错误估计.
- 模拟研究和分析狗死亡率数据.
主要成果:
- 拟议的混合模型在处理计数数据方面具有灵活性,在子群体中分散的差异不同.
- 模拟研究表明,与鱼类和负二项式混合物相比,性能优越.
- 该模型已成功应用于分析狗死亡率数据.
结论:
- 平均参数化的CMP分布的有限混合为分析复杂的计数数据提供了一个强大的工具.
- 这种方法有效地捕捉了不同亚群的分散异质性.
- 该模型为数量数据分析提供了传统混合模型的有价值的替代方案.
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