We have recently introduced the logratio Student t distribution, a multivariate density function on the simplex that extends the logratio normal distribution. Thanks to its properties, this model provides a better fit for compositional data exhibiting greater variability than expected under the normal assumption. For this reason, it can be effectively employed in diagnostic data analysis, particularly for identifying deviations from standard compositional patterns.
Monti, G., Mateu-Figueras, G., Pawlowsky-Glahn, V., Egozcue, J. (2025). An Alternative to the Aitchison Atypicality Index. In E. di Bella, V. Gioia, C. Lagazio, S. Zaccarin (a cura di), Statistics for Innovation IV SIS 2025, Short Papers, Contributed Sessions 3 (pp. 54-58). Springer Nature [10.1007/978-3-031-96033-8_10].
An Alternative to the Aitchison Atypicality Index
Monti, GS
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2025
Abstract
We have recently introduced the logratio Student t distribution, a multivariate density function on the simplex that extends the logratio normal distribution. Thanks to its properties, this model provides a better fit for compositional data exhibiting greater variability than expected under the normal assumption. For this reason, it can be effectively employed in diagnostic data analysis, particularly for identifying deviations from standard compositional patterns.
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