Aitchison J. The statistical analysis of compositional data

Springer, 1986. — 416 p. — (Monographs on Statistics and Applied Probability). — ISBN: 978-94-010-8324-9.Compositional data: some challenging problems.
The simplex as sample space.
The special difficulties of compositional data analysis.
Covariance structure.
Properties if matrix covariance specification.
Logistic normal distribution on the simplex.
Logratio analysis of compositions.
Dimension-reducing techniques.
Bases and compositions.
Subcompositions and partitions.
Irregular composition data.
Compositions in a covariate role.
Further distributions on the simplex.
Miscellaneous problem.
Appendices.