Statistical properties of the total variation estimator for compositional data

DOI10.1007/s00184-010-0299-3zbMath1434.62093OpenAlexW2080943955MaRDI QIDQ641765

Karel Hron, Lubomir Kubáček

Publication date: 25 October 2011

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-010-0299-3

zbMATH Keywords

asymptotic distributionAitchison geometrycenter of compositional datanormal distribution on the simplexunbiased and consistent estimator

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Directional data; spatial statistics (62H11) Asymptotic distribution theory in statistics (62E20)

Related Items (3)

Estimation of a proportion in survey sampling using the logratio approach ⋮ Extending compositional data analysis from a graph signal processing perspective ⋮ Covariance-based variable selection for compositional data

Cites Work

• Isometric logratio transformations for compositional data analysis
• New perspectives on water chemistry and compositional data analysis
• Groups of parts and their balances in compositional data analysis
• A critical approach to probability laws in geochemistry
• BLU estimators and compositional data
• Outlier detection for compositional data using robust methods
• Further results on the trace of a noncentral wishart matrix
• Logistic-Normal Distributions: Some Properties and Uses
• Moments of the trace of a noncentral wishart matrix
• On the trace of a wishart
• Geometric approach to statistical analysis on the simplex
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