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arXiv 1701.07910stat.APstat.ME
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包络法与Aster模型相结合的生活史方差缩减方法

Combining Envelope Methodology and Aster Models for Variance Reduction in Life History Analyses

Daniel J. Eck, Charles J. Geyer, R. Dennis Cook

摘要:

精确估计期望达尔文适合度,即生物后代的期望寿命数,是生活史分析的核心组成部分。aster模型作为达尔文适应度分布的一个可辩护的统计模型。aster模型能够将生物体经历的主要生命阶段结合起来,这些阶段分别会影响达尔文的适应性。包络方法通过在感兴趣的未知参数和其估计量的渐近协方差阵之间建立联系来降低渐近变异性。理论上和实际应用中都知道,包络线法的引入降低了渐近变异性。我们开发了一个包络框架,包括一个新的包络估计,这是适合aster分析。我们的方法提供的精确度使研究人员能够从他们的生活史分析中得出关于达尔文适应性驱动力的更强有力的结论,而不是仅仅使用aster模型。我们的方法在模拟数据集上进行了说明,并提供了\emph{Mimulus guttatus}花的生活史分析。在两种分析中均获得了有用的方差减少。

英文摘要:

Precise estimation of expected Darwinian fitness, the expected lifetime number of offspring of organism, is a central component of life history analysis. The aster model serves as a defensible statistical model for distributions of Darwinian fitness. The aster model is equipped to incorporate the major life stages an organism travels through which separately may effect Darwinian fitness. Envelope methodology reduces asymptotic variability by establishing a link between unknown parameters of interest and the asymptotic covariance matrices of their estimators. It is known both theoretically and in applications that incorporation of envelope methodology reduces asymptotic variability. We develop an envelope framework, including a new envelope estimator, that is appropriate for aster analyses. The level of precision provided from our methods allows researchers to draw stronger conclusions about the driving forces of Darwinian fitness from their life history analyses than they could with the aster model alone. Our methods are illustrated on a simulated dataset and a life history analysis of \emph{Mimulus guttatus} flowers is provided. Useful variance reduction is obtained in both analyses.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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