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Model selection by pathwise marginal likelihood thresholding

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  • Di Caterina, Claudia
  • Ferrari, Davide

Abstract

We suggest to estimate a sparse parameter vector in multivariate models through the selection of marginal likelihoods from a potentially large set. The resulting estimator involves an adaptive thresholding mechanism, whereby the marginal estimates are set to zero according to their sequential contribution to the joint information computed along a path of increasingly complex models. The effectiveness of our proposal is illustrated via simulations.

Suggested Citation

  • Di Caterina, Claudia & Ferrari, Davide, 2024. "Model selection by pathwise marginal likelihood thresholding," Statistics & Probability Letters, Elsevier, vol. 214(C).
  • Handle: RePEc:eee:stapro:v:214:y:2024:i:c:s0167715224001834
    DOI: 10.1016/j.spl.2024.110214
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    1. Sebastian Engelke & Raphaël De Fondeville & Marco Oesting, 2019. "Extremal behaviour of aggregated data with an application to downscaling," Biometrika, Biometrika Trust, vol. 106(1), pages 127-144.
    2. Jacob Bien & Robert J. Tibshirani, 2011. "Sparse estimation of a covariance matrix," Biometrika, Biometrika Trust, vol. 98(4), pages 807-820.
    3. Wang, Hansheng & Leng, Chenlei, 2008. "A note on adaptive group lasso," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5277-5286, August.
    4. Xin Gao & Raymond J. Carroll, 2017. "Data integration with high dimensionality," Biometrika, Biometrika Trust, vol. 104(2), pages 251-272.
    5. D. R. Cox, 2004. "A note on pseudolikelihood constructed from marginal densities," Biometrika, Biometrika Trust, vol. 91(3), pages 729-737, September.
    6. Zou, Hui, 2006. "The Adaptive Lasso and Its Oracle Properties," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 1418-1429, December.
    7. Adam J. Rothman, 2012. "Positive definite estimators of large covariance matrices," Biometrika, Biometrika Trust, vol. 99(3), pages 733-740.
    8. Aneiros, Germán & Novo, Silvia & Vieu, Philippe, 2022. "Variable selection in functional regression models: A review," Journal of Multivariate Analysis, Elsevier, vol. 188(C).
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