In this chapter the logistic normal model, a follower of the additive logistic normal distribution compatible with the algebraic-geometric structure of the simplex, was presented as a general tool for distributional modeling of compositional data in geosciences. It is flexible enough to model data coming from a wide-ranging applications, providing a sensible alternative to the well-known Dirichlet distribution which is not fully compatible with the logratio approach (Pawlowsky-Glahn et al. 2015). For all these reasons, logistic normal is considered the main distribution for compositional data.
Monti, G., Mateu-Figueras, G., Hron, K. (2022). Additive Logistic Normal Distribution. In B.S. Daya Sagar, Q. Cheng, J. McKinley, F. Agterberg (a cura di), Encyclopedia of Mathematical Geosciences (pp. 1-6). Springer, Cham. [10.1007/978-3-030-26050-7_39-1].
Additive Logistic Normal Distribution
Monti, G S
;
2022
Abstract
In this chapter the logistic normal model, a follower of the additive logistic normal distribution compatible with the algebraic-geometric structure of the simplex, was presented as a general tool for distributional modeling of compositional data in geosciences. It is flexible enough to model data coming from a wide-ranging applications, providing a sensible alternative to the well-known Dirichlet distribution which is not fully compatible with the logratio approach (Pawlowsky-Glahn et al. 2015). For all these reasons, logistic normal is considered the main distribution for compositional data.
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