Markov Graphs

Markov Graphs
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DOI:
10.1080/01621459.1986.10478342
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发表时间:
2007
期刊:
--
影响因子:
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通讯作者:
Ove Frank;David Strauss
Ove Frank;David Strauss
中科院分区:
其他
文献类型:
--
作者:
Ove Frank;David Strauss

文献摘要

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采用对数线性统计模型来描述具有一般依赖结构和马尔可夫依赖的随机图。马尔可夫图的充分统计量由各种三角形和星形的计数给出。特别地,我们证明了在哪些假设下三元计数是充分的统计量。讨论了几种简单马尔可夫图的推理方法。
Log-linear statistical models are used to characterize random graphs with general dependence structure and with Markov dependence. Sufficient statistics for Markov graphs are shown to be given by counts of various triangles and stars. In particular, we show under which assumptions the triad counts are sufficient statistics. We discuss inference methodology for some simple Markov graphs.