Decomposition of Variance for Spatial Cox Processes

ABDOLLAH JALILIAN; YONGTAO GUAN; RASMUS WAAGEPETERSEN

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Decomposition of Variance for Spatial Cox Processes

机译：空间Cox过程的方差分解

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Spatial Cox point processes is a natural framework for quantifying the various sources of variation governing the spatial distribution of rain forest trees. We introduce a general criterion for variance decomposition for spatial Cox processes and apply it to specific Cox process models with additive or log linear random intensity functions. We moreover consider a new and flexible class of pair correlation function models given in terms of normal variance mixture covariance functions. The proposed methodology is applied to point pattern data sets of locations of tropical rain forest trees.

机译：空间Cox点过程是用于量化控制雨林树木空间分布的各种变化源的自然框架。我们介绍了空间Cox过程方差分解的一般准则，并将其应用于具有加性或对数线性随机强度函数的特定Cox过程模型。此外，我们考虑根据正态方差混合协方差函数给出的一种新的灵活的对相关函数模型。所提出的方法应用于热带雨林树木的位置的点模式数据集。

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来源
《Scandinavian journal of statistics》 |2013年第1期|119-137|共19页
作者
ABDOLLAH JALILIAN; YONGTAO GUAN; RASMUS WAAGEPETERSEN;
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作者单位

Department of Statistics, Razi University;

Department of Management Science, Miami University;

Department of Mathematical Sciences, Aalborg University, Fredrik Bajersvej 7G, DK-9220 Aalborg, Denmark;

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正文语种 eng
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关键词
additive random intensity; composite likelihood; cox process; matern covariance function; normal variance mixture; pair correlation function; variance component;

机译：加性随机强度综合可能性考克斯过程母方协方差函数正态方差混合;对相关函数方差分量;

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专利

1. Convergence of nonhomogeneous random walks generated by compound Cox processes to generalized variance-gamma L,vy processes [J] . Korolev V. Yu., Korchagin A. Yu., Zeifman A. I. Doklady. Mathematics . 2015,第1期

机译：由复合Cox过程生成的非均匀随机游动收敛到广义方差-γL，vy过程
2. Desequens: An R Package For The Variance Decomposition Of Sequential Processes [J] . Softe Frederickx, Peter Kuppens, Francis Tuerlinckx, Behavior Research Methods, Instruments & Computers . 2009,第2期

机译：Desequens：R包，用于顺序过程的方差分解
3. Desequens: An R package for the variance decomposition of sequential processes [J] . Sofie Frederickx, Peter Kuppens, Francis Tuerlinckx, Behavior Research Methods . 2009,第2期

机译：Desequens：R包，用于顺序过程的方差分解
4. Visualization of Predictive Distributions for Discrete Spatial-Temporal Log Cox Processes Approximated with MCMC [C] . David Rohde, Jonathan Corcoran, Gentry White, International conference on intelligent data engineering and automated learning . 2012

机译：用MCMC近似的离散时空Log Cox过程的预测分布的可视化
5. Variance tolerancing and decomposition in textile products and processes. [D] . Koo, Hyun-Jin. 1996

机译：纺织产品和工艺中的方差公差和分解。
6. Decomposition of Variance for Spatial Cox Processes [O] . Abdollah Jalilian, Yongtao Guan, Rasmus Waagepetersen -1

机译：空间COX过程的差异分解
7. Decomposition of variance for spatial Cox processes [O] . Jalilian, Abdollah, Guan, Yongtao, Waagepetersen, Rasmus 2013

机译：空间Cox过程的方差分解
8. Excursions of Stochastic Processes, Cox-Point Processes, Entrance Behaviour andResolvents [R] . Schoenmakers, J. 1993

机译：随机过程，Cox点过程，入口行为和解决方案的偏移

Decomposition of Variance for Spatial Cox Processes

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