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Estimating Gaussian Copulas with Missing Data

Machine Learning 2022-01-17 v1 Machine Learning Methodology

Abstract

In this work we present a rigorous application of the Expectation Maximization algorithm to determine the marginal distributions and the dependence structure in a Gaussian copula model with missing data. We further show how to circumvent a priori assumptions on the marginals with semiparametric modelling. The joint distribution learned through this algorithm is considerably closer to the underlying distribution than existing methods.

Keywords

Cite

@article{arxiv.2201.05565,
  title  = {Estimating Gaussian Copulas with Missing Data},
  author = {Maximilian Kertel and Markus Pauly},
  journal= {arXiv preprint arXiv:2201.05565},
  year   = {2022}
}