Heritability estimation in high dimensional sparse linear mixed models

@article{Bonnet2015HeritabilityEI,
  title={Heritability estimation in high dimensional sparse linear mixed models},
  author={Anna Bonnet and Elisabeth Gassiat and C{\'e}line L{\'e}vy-Leduc},
  journal={Electronic Journal of Statistics},
  year={2015},
  volume={9},
  pages={2099-2129}
}
Motivated by applications in genetic fields, we propose to estimate the heritability in high-dimensional sparse linear mixed models. The heritability determines how the variance is shared between the different random components of a linear mixed model. The main novelty of our approach is to consider that the random effects can be sparse, that is may contain null components, but we do not know either their proportion or their positions. The estimator that we consider is strongly inspired by the… 
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