摘要翻译:
本文讨论了树木种群间的比较问题。我们研究了一个基于经验均值树之间距离的统计检验,作为两个样本z统计量的模拟,用于比较两个均值。尽管它很简单,但我们可以报告,该检验对于分离具有不同均值的分布是相当强大的,但它不能区分具有相同均值的不同总体,在这种情况下应该应用更复杂的检验。通过对Galton-Watson分支过程的模拟,研究了该方法的性能。我们还展示了在基因组学中的一个实际数据问题的应用。
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英文标题:
《A distance based test on random trees》
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作者:
Ana Georgina Flesia, Ricardo Fraiman
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Statistics Theory 统计理论
分类描述:Applied, computational and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments, case studies
应用统计、计算统计和理论统计:例如统计推断、回归、时间序列、多元分析、
数据分析、马尔可夫链蒙特卡罗、实验设计、案例研究
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一级分类:Statistics 统计学
二级分类:Statistics Theory 统计理论
分类描述:stat.TH is an alias for math.ST. Asymptotics, Bayesian Inference, Decision Theory, Estimation, Foundations, Inference, Testing.
Stat.Th是Math.St的别名。渐近,贝叶斯推论,决策理论,估计,基础,推论,检验。
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英文摘要:
In this paper, we address the question of comparison between populations of trees. We study an statistical test based on the distance between empirical mean trees, as an analog of the two sample z statistic for comparing two means. Despite its simplicity, we can report that the test is quite powerful to separate distributions with different means but it does not distinguish between different populations with the same mean, a more complicated test should be applied in that setting. The performance of the test is studied via simulations on Galton-Watson branching processes. We also show an application to a real data problem in genomics.
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PDF链接:
https://arxiv.org/pdf/708.1733