Statistical inference for random T-tessellations models. Application to agricultural landscape modeling

IF 0.8 4区 数学 Q3 STATISTICS & PROBABILITY
Katarzyna Adamczyk-Chauvat, Mouna Kassa, Julien Papaïx, Kiên Kiêu, Radu S. Stoica
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引用次数: 0

Abstract

The Gibbsian T-tessellation models allow the representation of a wide range of spatial patterns. This paper proposes an integrated approach for statistical inference. Model parameters are estimated via Monte Carlo maximum likelihood. The simulations needed for likelihood computation are produced using an adapted Metropolis-Hastings-Green dynamics. In order to reduce the computational costs, a pseudolikelihood estimate is derived and then used for the initialization of the likelihood optimization. Model assessment is based on global envelope tests applied to the set of functional statistics of tessellation. Finally, a real data application is presented. This application analyzes three French agricultural landscapes. The Gibbs T-tessellation models simultaneously provide a morphological and statistical characterization of these data.

Abstract Image

Abstract Image

随机 T 型网格模型的统计推断。在农业景观建模中的应用
Gibbsian T-tessellation模型可以表示多种空间模式。本文提出了一种综合的统计推断方法。模型参数通过蒙特卡罗最大似然法进行估计。似然计算所需的模拟是通过改编的 Metropolis-Hastings-Green 动力学产生的。为了降低计算成本,先推导出伪似然估计值,然后用于似然优化的初始化。模型评估基于应用于镶嵌功能统计集的全局包络测试。最后,介绍了一个真实数据应用。该应用分析了三个法国农业景观。Gibbs T-tessellation模型同时提供了这些数据的形态和统计特征。
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来源期刊
CiteScore
2.00
自引率
0.00%
发文量
39
审稿时长
6-12 weeks
期刊介绍: Annals of the Institute of Statistical Mathematics (AISM) aims to provide a forum for open communication among statisticians, and to contribute to the advancement of statistics as a science to enable humans to handle information in order to cope with uncertainties. It publishes high-quality papers that shed new light on the theoretical, computational and/or methodological aspects of statistical science. Emphasis is placed on (a) development of new methodologies motivated by real data, (b) development of unifying theories, and (c) analysis and improvement of existing methodologies and theories.
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