An Application of Envelope Methodology and Aster Models

نویسندگان

  • Daniel J. Eck
  • Charles J. Geyer
چکیده

Precise estimation of expected Darwinian fitness is a central component of life history analysis. Our methods provide precise estimation by incorporating general envelope methodology into the aster modeling framework. This level of precision provided from out methods allow 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. The aster model serves as a defensible statistical model for distributions of 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. A novel envelope estimator is developed and used to obtain variance reduction. Our methods are illustrated on a simulated dataset and a real dataset of Mimulus guttatus flowers. Variance reduction is obtained in both analyses. Our examples are fully reproducible in an accompanying technical report.

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تاریخ انتشار 2016