零和加/减1的膨胀扩展的波桑分布
Maher Kachour1, Christophe Chesneau2
1ESSCA School of Management, Lyon, France.
Journal of applied statistics
|September 9, 2024
概括
这项研究引入了一种新的计数数据分布,扩展了零和一个膨胀的波桑模型. 新的分布有效地处理像足球比分这样的数据集中的多余的零,零和零.
科学领域:
- 统计 统计 统计 统计
- 可能性理论概率理论.
- 计量经济学 计量经济学
背景情况:
- 计数数据经常显示过多的零或零,这对标准Poisson模型构成挑战.
- 现有的零膨胀和单膨胀模型可能无法充分捕获多余的零和零,或负数量的数据.
研究的目的:
- 为计数数据引入新的灵活分布,称为"分布名称"分布.
- 扩展现有的零和一个膨胀的波桑分布的功能.
- 提供一个强大的统计工具来分析复杂的零/一通胀模式的计数数据.
主要方法:
- 定义新的[分布名称]分布,并推导出其关键的概率性质.
- 在拟议的分布框架内研究参数估计的方法.
- 进行模拟研究以评估估计技术的性能和准确性.
主要成果:
- 拟议的[分布名称]分布在模拟计数数据中具有多余的零,零和零的灵活性.
- 通过模拟实验,参数估计方法被证明是有效的.
- 使用真实世界足球比分数据集验证了分布的实际实用性.
结论:
- [分布名称]分布为分析专业计数数据提供了一个有价值的替代方案.
- 开发的估计技术为新分布提供了可靠的参数估计.
- 这项工作为过多的零/一膨胀计数数据领域的统计建模提供了一个新的工具.
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