Now showing items 1-16 of 16

• #### Balances: a new perspective for microbiome analysis ﻿

(2018-07)
Article
Open Access
High-throughput sequencing technologies have revolutionized microbiome research by allowing the relative quantification of microbiome composition and function in different environments. In this work we focus on the ...
• #### Bayes linear spaces ﻿

(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 ...
• #### Bayes linear spaces ﻿

(Institut d'Estadística de Catalunya, 2010)
Article
Open Access
Linear spaces consisting of -finite probability measures and infinite measures (improper priors and likelihood functions) are defined. The commutative group operation, called perturbation, is the updating given by Bayes ...
• #### Chronic kidney disease of unknown origin is associated with environmental urbanisation in Belfast, UK ﻿

(2021-07)
Article
Open Access
Chronic kidney disease (CKD), a collective term for many causes of progressive renal failure, is increasing worldwide due to ageing, obesity and diabetes. However, these factors cannot explain the many environmental clusters ...
• #### Evidence functions: a compositional approach to information ﻿

(Institut d'Estadística de Catalunya, 2018-07-01)
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 ...
• #### Evidence information in Bayesian updating ﻿

(CIMNE, 2011-06)
Other
Open Access
Bayes theorem (discrete case) is taken as a paradigm of information acquisition. As men-tioned by Aitchison, Bayes formula can be identiﬁed with perturbation of a prior probability vector and a discrete likelihood function, ...
• #### Exploration of geochemical data with compositional canonical biplots ﻿

(2018-07-25)
Article
Open Access
The study of the relationships between two compositions is of paramount importance in geochemical data analysis. This paper develops a compositional version of canonical correlation analysis, called CoDA-CCO, for this ...
• #### Microbiome datasets are compositional: and this is not optional ﻿

(2017-11)
Article
Open Access
Datasets collected by high-throughput sequencing (HTS) of 16S rRNA gene amplimers, metagenomes or metatranscriptomes are commonplace and being used to study human disease states, ecological differences between sites, and ...
• #### Modified Kolmogorov-Smirnov test of goodness of fit ﻿

(2017)
Conference report
Open Access
A modified version of the Kolmogorov-Smirnov (KS) test is presented as a tool to assess whether a specified, although arbitrary, probability model is unsuitable to describe the underlying distribution of a set of observations. ...
• #### Principal balances ﻿

(International Centre for Numerical Methods in Engineering (CIMNE), 2011)
Conference report
Open Access
Principal balances are defined as a sequence of orthonormal balances which maximize successively the explained variance in a data set. Apparently, computing principal balances requires an exhaustive search along all possible ...
• #### Principal balances ﻿

(CIMNE, 2011)
Conference report
Open Access
Principal balances are de ned as a sequence of orthonormal balances which maximize successively the explained variance in a data set. Apparently, computing principal balances requires an exhaustive search along all ...
• #### Rethinking the Kolmogorov-Smirnov test of Goodness of fit in a compositional way ﻿

(Pearson, 2018)
Conference report
Open Access
The Kolmogorov Smirnov test (KS) is a well known test used to asses how a set of observations is significantly different from the probability model specified under the null hypothesis. The KS test statistic quantifies the ...
• #### Some thoughts on counts in sequencing studies ﻿

(2020-12-01)
Article
Open Access
Measurements in sequencing studies are mostly based on counts. There is a lack of theoretical developments for the analysis and modelling of this type of data. Some thoughts in this direction are presented, which might ...
• #### Survey data on perceptions of contraceptive methods as compositional tables ﻿

(2018-07)
Article
Open Access
This paper studies the relative evaluation of young people and the possible benefits associated with three methods of avoiding sexually transmitted infections/AIDS and/or unwanted pregnancies (condoms, contraceptive pills, ...
• #### The normal distribution in some constrained sample spaces ﻿

(2013-01-01)
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 ...
• #### The shifted-scaled Dirichlet distribution in the simplex ﻿

(CIMNE, 2011)
Conference report
Open Access
Perturbation and powering are two operations in the simplex that define a vector-space structure. Perturbation and powering in the simplex play the same role as the sum and product by scalars in real space. A standard ...