kppmenet:结合kppm和弹性网规范化,用于与相关的共变量相关的不均的考克斯点过程
Achmad Choiruddin1, Tabita Yuni Susanto1, Ahmad Husain1
1Departement of Statistics, Institut Teknologi Sepuluh Nopember (ITS), Surabaya, Indonesia.
Journal of applied statistics
|March 25, 2024
概括
经过修改的Cox程序与弹性净规范化改善了与相关联的共变量不均的Cox点过程的参数估计. 这种新方法的性能优于模拟和地震建模中的标准程序.
科学领域:
- 统计 统计 统计 统计
- 地质科学是地球科学.
- 计算建模 计算建模
背景情况:
- 标准的考克斯程序用于估计不均的考克斯点过程中的参数.
- 这种标准方法与包含相关联共变量的模型相斗争.
- 在地震学等领域,准确的点过程建模至关重要.
研究的目的:
- 开发一种修改后的Cox程序,以处理不均的Cox点过程中的相关联共变量.
- 将弹性网规范化纳入修改后的考克斯程序.
- 根据标准程序评估新方法的性能.
主要方法:
- 开发一个修改后的Cox程序,包括弹性网规范化.
- 进行模拟研究,以比较修改后的和标准的Cox程序.
- 修改后的程序应用于模拟印度尼西亚苏门答腊的地震分布.
主要成果:
- 修改后的考克斯程序在存在相关的共变量时,与标准程序相比,显示出更高的性能.
- 模拟结果验证了弹性网调整在处理共变量相关性的有效性.
- 该方法成功地模拟了苏门答腊主要的浅层地震的分布.
结论:
- 经过修改的Cox过程具有弹性净规范化,是与相关联的共变量不均的Cox点过程的可靠替代方案.
- 这种增强的方法在存在复杂的共同变量关系时提供了更准确的参数估计.
- 这种方法对各种科学领域的空间点模式建模具有实际意义.
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