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20242026
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stat.ME2026

Handling mild outliers and unobserved values in compositional datasets using finite mixtures of mean-parametrised Dirichlet models

Jason Pillay, Andriëtte Bekker, Cristina Tortora +1

Heterogeneous compositional data may be simultaneously affected by missing values and atypical points, posing challenges for both clustering and outlier detection. We develop a mix…

stat.ME2026

Handling Missingness and Censoring in Dirichlet Mixture Models

Jason Pillay, Andriette Bekker, Cristina Tortora +1

The paper introduces a likelihood‑based EM algorithm for fitting finite mixtures of Dirichlet distributions to compositional data that contain missing or left‑censored components,…

stat.ME2026

Handling Missingness and Censoring in Dirichlet Models

J. Pillay, A. Bekker, C. Tortora +1

Likelihood-based inference for compositional data generally requires fully observed compositions, hindering the direct treatment of missing or censored components on the simplex. I…

stat.ME2026

Modelling and detecting mild and gross anomalies in circular data via double-contaminated models

Antonio Punzo, Andriëtte Bekker, Arno Otto +2

In this paper, we propose a model-based framework to robustify inference for circular data in the presence of anomalous observations, distinguishing between mild and gross anomalie…

stat.ME2026

A Contaminated Model for Overdispersed Multinomial Microbiome Count Data

Ockert van Heerden, Andriëtte Bekker, Seite Makgai +2

Multinomial count data, such as microbial composition profiles derived from sequencing studies, frequently contain anomalous observations that distort parameter estimates. The Diri…

stat.ME2026

Mean regression for (0,1) responses via beta scale mixtures

Arno Otto, Andriëtte Bekker, Johan Ferreira +1

To achieve a greater general flexibility for modeling heavy-tailed bounded responses, a beta scale mixture model is proposed. Each member of the family is obtained by multiplying t…