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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An Alternative to the Aitchison Atypicality Index

  • Gianna S. Monti,
  • Gloria Mateu-Figueras,
  • Vera Pawlowsky-Glahn,
  • Juan J. Egozcue

摘要

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.