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Weighted likelihood methods for robust fitting of wrapped models for p-torus data

Author

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  • Claudio Agostinelli

    (University of Trento)

  • Luca Greco

    (University Giustino Fortunato)

  • Giovanni Saraceno

    (University of Buffalo)

Abstract

We consider, robust estimation of wrapped models to multivariate circular data that are points on the surface of a p-torus based on the weighted likelihood methodology. Robust model fitting is achieved by a set of weighted likelihood estimating equations, based on the computation of data dependent weights aimed to down-weight anomalous values, such as unexpected directions that do not share the main pattern of the bulk of the data. Weighted likelihood estimating equations with weights evaluated on the torus or obtained after unwrapping the data onto the Euclidean space are proposed and compared. Asymptotic properties and robustness features of the estimators under study have been studied, whereas their finite sample behavior has been investigated by Monte Carlo numerical experiment and real data examples.

Suggested Citation

  • Claudio Agostinelli & Luca Greco & Giovanni Saraceno, 2024. "Weighted likelihood methods for robust fitting of wrapped models for p-torus data," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 108(4), pages 853-888, December.
    • Handle: RePEc:spr:alstar:v:108:y:2024:i:4:d:10.1007_s10182-024-00494-2
    DOI: 10.1007/s10182-024-00494-2
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    References listed on IDEAS

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    1. Claudio Agostinelli & Luca Greco, 2018. "Discussion of “The power of monitoring: how to make the most of a contaminated multivariate sample” by Andrea Cerioli, Marco Riani, Anthony C. Atkinson and Aldo Corbellini," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 27(4), pages 609-619, December.
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    4. Anahita Nodehi & Mousa Golalizadeh & Mehdi Maadooliat & Claudio Agostinelli, 2021. "Estimation of parameters in multivariate wrapped models for data on a p-torus," Computational Statistics, Springer, vol. 36(1), pages 193-215, March.
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