Goodness-of-fit test of the mark distribution in a point process with non-stationary marks

Tomas Mrkvicka; Samuel Soubeyrand; Joeel Chadœuf

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Goodness-of-fit test of the mark distribution in a point process with non-stationary marks

机译：具有非平稳标记的点过程中标记分布的拟合优度检验

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Three procedures for testing the hypothesis that the marks of the point process belong to a given family of distributions, where the marks are independent conditionally on an unknown non-stationary parametric field θ(x), are described. The unknown parametric field was estimated by a kernel estimator and the estimate included in the procedures. The asymptotic distribution of the kernel estimator was derived because it is required in some of the procedures to take into account the estimation uncertainty. The procedures were compared by a simulation study and applied to two real datasets. First, the terminal dates of Maya sites and second, the heights of trees that have fallen during storms.

机译：描述了三种测试点过程的标记属于给定分布族的假设的过程，其中标记在条件上独立于未知的非平稳参数场θ（x）。未知参数字段由内核估计器估计，并且该估计包括在过程中。之所以得出核估计量的渐近分布，是因为在某些过程中需要考虑估计的不确定性。通过模拟研究比较了程序，并将其应用于两个实际数据集。首先是玛雅遗址的终止日期，其次是暴风雨中倒下的树木的高度。

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来源
《Statistics and computing》 |2012年第4期|p.931-943|共13页
作者
Tomas Mrkvicka; Samuel Soubeyrand; Joeel Chadœuf;
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作者单位

Department of Applied Mathematics and Informatics,Faculty of Economics, University of South Bohemia,Studentska 13, 37005 Ceske Budejovice, Czech Republic;

INRA, UR546 Biostatistique et Processus Spatiaux,84914 Avignon, France;

INRA, UR546 Biostatistique et Processus Spatiaux,84914 Avignon, France;

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正文语种 eng
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关键词
goodness-of-fit test; kernel estimation; marked point process; maya sites; non-stationary mark distribution; nuisance parameter; parametric bootstrap; poisson point process;

机译：拟合优度测试;核估计;标记点过程;玛雅遗址;非平稳标记分配;讨厌的参数;参数引导泊松点过程;

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Goodness-of-fit test of the mark distribution in a point process with non-stationary marks

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