一个马尔科夫随机场模型,用于空间依赖的顺序数据的累积后勤函数
1School of Computing, Mathematics and Engineering, Charles Sturt University, Wagga Wagga, NSW, Australia.
Journal of applied statistics
|January 5, 2024
概括
这项研究引入了新的回归模型来分析空间依赖的顺序数据,提供灵活的分析,而不需要定期的位置间距. 这些模型通过结合空间效应来提高性能,正如空气质量数据分析所证明的那样.
科学领域:
- 统计 统计 统计 统计
- 空间分析 空间分析
- 顺序回归是指顺序回归.
背景情况:
- 分析空间依赖的顺序数据带来了挑战,特别是在间距不规则的站点.
- 现有的模型通常假设有规律间距或潜在的连续变量,从而限制了它们的适用性.
研究的目的:
- 开发一类灵活的回归模型来分析空间依赖的顺序数据.
- 提供一个不需要定期间隔的站点或底层连续变量的模型.
- 为了使模型参数的解释使用赔率比率.
主要方法:
- 使用累积后勤函数开发一类回归模型,扩展马尔科夫随机场模型.
- 参数化,社区选择和标准错误计算技术的应用.
- 在模拟研究中使用伪概率方法进行模型拟合.
主要成果:
- 拟议的模型有效地适应有规律和不规则间隔的站点.
- 与非空间对应物相比,纳入空间效应显著改善了模型性能.
- 对英国每日空气质量指数数据的分析揭示了显著的空间效应.
结论:
- 开发的回归模型为分析空间依赖的顺序数据提供了强大而灵活的方法.
- 包含空间效应可以提高预测准确性和模型适应性.
- 解决了实际实施方面的问题,包括模型的安装和解释.
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