Now showing items 1-5 of 5

    • Bayes linear spaces 

      Van den Boogaart, Karl Gerard; Egozcue Rubí, Juan José; Pawlowsky-Glahn, Vera (2010-12)
      Article
      Open Access
      Linear spaces consisting of $\sigma$-finite probability measures and infinite measures (improper priors and likelihood functions) are defined. The commutative group operation, called perturbation, is the updating given by ...
    • Evidence functions: a compositional approach to information 

      Egozcue, Juan-José; Pawlowsky-Glahn, Vera (Institut d'Estadística de Catalunya, 2018-12-21)
      Article
      Open Access
      The discrete case of Bayes’ formula is considered the paradigm of information acquisition. Prior and posterior probability functions, as well as likelihood functions, called evidence functions, are compositions following ...
    • Proportionality: a valid alternative to correlation for relative data 

      Lovell, David; Pawlowsky-Glahn, Vera; Egozcue Rubí, Juan José; Marguerat, Samuel; Baehler, Juerg (2015-03-01)
      Article
      Open Access
      In the life sciences, many measurement methods yield only the relative abundances of different components in a sample. With such relative-or compositional-data, differential expression needs careful interpretation, and ...
    • Spatial analysis of compositional data : a historical review 

      Pawlowsky-Glahn, Vera; Egozcue Rubí, Juan José (2016-05-01)
      Article
      Open Access
      Like the statistical analysis of compositional data in general, spatial analysis of compositional data requires specific tools. A historical overview of their development is presented in three steps: (a) the recognition ...
    • The normal distribution in some constrained sample spaces 

      Mateu-Figueras, Glòria; Pawlowsky-Glahn, Vera; Juan José, Egozcue (Institut d'Estadística de Catalunya, 2013)
      Article
      Open Access
      Phenomena with a constrained sample space appear frequently in practice. This is the case, for example, with strictly positive data, or with compositional data, such as percentages or proportions. If the natural measure ...