Impact of covariates in compositional models and simplicial derivatives

J Morais, C Thomas-Agnan - Austrian Journal of Statistics, 2021 - hal.science
In the framework of Compositional Data Analysis, vectors carrying relative information, also
called compositional vectors, can appear in regression models either as dependent or as …

Analyzing the impacts of socio-economic factors on French departmental elections with CoDa methods

THA Nguyen, T Laurent, C Thomas-Agnan… - Journal of Applied …, 2022 - Taylor & Francis
The vote shares by party on a given subdivision of a territory form a vector called
composition (mathematically, a vector belonging to a simplex). It is interesting to model …

A simultaneous spatial autoregressive model for compositional data

THA Nguyen, C Thomas-Agnan, T Laurent… - Spatial Economic …, 2021 - Taylor & Francis
In an election, the vote shares by party for a given subdivision of a territory form a
compositional vector (positive components adding up to 1). Conventional multiple linear …

A new class of α-transformations for the spatial analysis of compositional data

L Clarotto, D Allard, A Menafoglio - Spatial Statistics, 2022 - Elsevier
Georeferenced compositional data are prominent in many scientific fields and in spatial
statistics. This work addresses the problem of proposing models and methods to analyze …

Spatial lag quantile regression for compositional data

Y Zhao, X Ma, Y Chao - Communications in Statistics-Simulation …, 2024 - Taylor & Francis
While research on spatial lag quantile regression models exists, the extension to
incorporating compositional data within this framework remains unexplored. The unique …

Spatial Autoregressive Model on a Dirichlet Distribution

T Nguyen, S Moka, K Mengersen, B Liquet - arXiv preprint arXiv …, 2024 - arxiv.org
Compositional data find broad application across diverse fields due to their efficacy in
representing proportions or percentages of various components within a whole. Spatial …

Covariates impacts in spatial autoregressive models for compositional data

T Laurent, C Thomas-Agnan, A Ruiz-Gazen - Journal of Spatial …, 2023 - Springer
Spatial autoregressive models have been adapted to model data with both a geographic
and a compositional nature. Interpretation of parameters in such a model is intricate. Indeed …