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Patient-specific Modeling of the Heart: Estimation of Ventricular Fiber Orientations
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Contemporaneous Statistics for Estimation in Stochastic Actor-Oriented Co-evolution Models.

Viviana Amati1, Felix Schönenberger2, Tom A B Snijders3,4,5

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Summary
This summary is machine-generated.

This study introduces the generalized method of moments (GMoM) for analyzing dynamic network data. GMoM enhances statistical efficiency for stochastic actor-oriented models (SAOMs) compared to the traditional method of moments (MoM).

Keywords:
behaviourgeneralized method of momentsnetworkspanel datastochastic actor-oriented modelstochastic approximation

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Area of Science:

  • Social network analysis
  • Statistical modeling
  • Dynamic systems

Background:

  • Stochastic actor-oriented models (SAOMs) are used for dynamic network and behavior analysis.
  • Parameter estimation typically employs the method of moments (MoM) via stochastic approximation.
  • Existing methods may not fully capture the interdependence between network structure and behavior.

Purpose of the Study:

  • To propose the generalized method of moments (GMoM) for SAOMs.
  • To enhance the analysis of dynamic network data by incorporating more statistics.
  • To improve the estimation of parameters reflecting network and behavior interdependence.

Main Methods:

  • Application of the generalized method of moments (GMoM) using more statistics than parameters.
  • Focus on statistics jointly modeling network and behavior, including contemporaneous and cross-lagged effects.
  • Development of a stochastic approximation algorithm for GMoM solution estimation.

Main Results:

  • The GMoM approach utilizes a richer set of moment conditions.
  • Contemporaneous statistics are added to traditional cross-lagged statistics for a more comprehensive model.
  • A simulation study indicates superior statistical efficiency for the GMoM estimator over MoM.

Conclusions:

  • The generalized method of moments (GMoM) offers improved statistical efficiency for SAOMs.
  • GMoM provides a more robust framework for analyzing dynamic network and behavior data.
  • This method enhances the understanding of the interplay between network evolution and behavior.