Transformed generalized linear models

Cordeiro, Gauss M.; Andrade, Marinho G.

doi:10.1016/j.jspi.2009.02.002

Cited by 13 publications

(14 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Because of this, there is greater flexibility between the mean of the variable of interest and the linear predictor η. The GLM is an extension of the linear regression models, as they have a linear structure and consists of three components ( Eguchi, 2017 ; Cordeiro and Andrade, 2009 Gracindo et al., 2011 ): random component represented by a set of independent values Y 1 , Y 2 , ..., Y n with distribution belonging to the exponential family; systematic component enters the model as the linear sum of the effects of the explanatory variables that is given by;

where

the model matrix,

the parameter vector and

T the linear predictor; link function (g) that makes the connection between the average of the observations and the systematic part.

…”

Section: Methodsmentioning

confidence: 99%

Optimization of the photocatalytic degradation process of aromatic organic compounds applied to mangrove sediment

Silva

Soares

Santos

et al. 2020

Heliyon

View full text Add to dashboard Cite

Polycyclic aromatic hydrocarbons (PAHs) are part of a class of organic compounds resistant to natural degradation. In this way, heterogeneous photocatalysis becomes useful to degrade persistent organic pollutants, however it can be influenced by environmental variables (i.e.: organic matter) and experimental factors such as: mass of the photocatalyst and irradiation time. The objective of this research was to use a factorial design 2 k as a function of the multiple response (MR) to evaluate simultaneously experimental conditions for the photodegradation of polycyclic aromatic hydrocarbons in contaminated mangrove sediment and its application in oil from Potiguar Basin in Brazil. The sediment samples collected in Belmonte city (Southern Bahia state) were contaminated with 0.25 mg kg −1 of Acenaphthene, Anthracene, Benzo[a]Anthracene, Indene[1,2,3cd]pyrene, Dibenzo[ah]anthracene, Benzo[ghi]pyrene. Factors such as mass of the photocatalyst and irradiation time were evaluated in factorial design 2 2 , with triplicate from the central point, to 1g of the PAH contaminated sediment. After performing the experiments, it was found that the best experimental condition for the degradation of all PAHs indicated by MR was the central point (0.5 g of photocatalyst and 12h of irradiation). For such conditions, the half-life of PAHs varied from 3.51 to 9.37 h and the degradation speed constant between 0.0740 to 0.1973 h −1 . The comparison of the optimized methodology between photolysis tests and heterogeneous photocatalysis was performed using the Kruskal-Wallis test, which indicated a difference for the reference solution, where heterogeneous photocatalysis was more efficient in the degradation of PAHs. The optimized methodology was apply in samples contaminated with crude oil from Potiguar Basin, no significant difference was observed in the aromatic fraction, using for the Kruskal-Wallis test. Heterogeneous photocatalysis has shown to be a promising remediation technique to remedy aromatic organic compounds in mangrove sediments.

show abstract

where

the model matrix,

the parameter vector and

T the linear predictor; link function (g) that makes the connection between the average of the observations and the systematic part.

…”

Section: Methodsmentioning

confidence: 99%

Optimization of the photocatalytic degradation process of aromatic organic compounds applied to mangrove sediment

Silva

Soares

Santos

et al. 2020

Heliyon

View full text Add to dashboard Cite

show abstract

“…We consider the approximate covariance matrix of and the variance of given in [13] to make inferences about these parameters. Here, we have considered the gamma, Gaussian and inverse Gaussian distributions for the probability density function (Eq.…”

Section: Methodsmentioning

confidence: 99%

“… [3] , [9] , [12] ), a natural question is how to select the best model for a given data set. To address this issue, here we integrate different models within a common framework and consider the problem of curve fitting by the transformed generalized linear model (TGLM) [13] . We propose the use of the generalized species-area model (GSAM) to describe the SAR.…”

Section: Introductionmentioning

confidence: 99%

A Generalized Approach to the Modeling of the Species-Area Relationship

et al. 2014

View full text Add to dashboard Cite

This paper proposes a statistical generalized species-area model (GSAM) to represent various patterns of species-area relationship (SAR), which is one of the fundamental patterns in ecology. The approach enables the generalization of many preliminary models, as power-curve model, which is commonly used to mathematically describe the SAR. The GSAM is applied to simulated data set of species diversity in areas of different sizes and a real-world data of insects of Hymenoptera order has been modeled. We show that the GSAM enables the identification of the best statistical model and estimates the number of species according to the area.

show abstract

“…o que simplifica a interpretação do modelo. A equação (18) é conhecida como retransformação (Cordeiro, 2009). Na Figura 2 (direita) se encontra o ajuste aos dados originais pela equação (18).…”

Section: Sejaunclassified

Modelos simétricos transformados bayesianos para descrever o crescimento em altura de eucalyptus urophylla

Barros

Albuquerque

Silva

2020

RSD

View full text Add to dashboard Cite

É abordado neste trabalho o modelo de crescimento em altura não linear de Chapman-Richards com distribuição dos erros seguindo a nova classe de modelos simétricos transformados e inferência Bayesiana para os parâmetros. O objetivo foi aplicar essa estrutura, via algoritmo de Metropolis-Hastings, com o intuito de selecionar a equação que melhor estimasse as alturas de clones de Eucalyptus urophylla provenientes de experimento implantado no Instituto Agronômico de Pernambuco (IPA), na cidade de Araripina. O Polo Gesseiro do Araripe é uma zona industrial, situada no alto sertão pernambucano, que consume grande quantidade de lenha proveniente da vegetação nativa (caatinga) para calcinação da gipsita. Nesse cenário, há grande necessidade de uma solução, econômica e ambientalmente, viável que possibilite uma minimização da pressão sobre a flora nativa. O gênero Eucalyptus se apresenta como alternativa, pelo seu rápido desenvolvimento e versatilidade. A altura tem se revelado fator importante na prognose de produtividade e seleção de clones melhores adaptados. Uma das principais curvas de crescimento em altura é o modelo de Chapman-Richards com distribuição normal para os erros. Os dados foram retirados de uma plantação, com 72 meses. Foram realizadas as inferências e diagnósticos para modelo transformado e não transformado com diversas distribuições simétricas. Após a seleção da melhor equação, foram mostrados alguns gráficos da convergência dos parâmetros e outros que comprovam o ajuste aos dados do modelo simétrico transformado t de Student com 5 graus de liberdade utilizando inferência Bayesiana nos parâmetros.

show abstract

Transformed generalized linear models

Cited by 13 publications

References 17 publications

Optimization of the photocatalytic degradation process of aromatic organic compounds applied to mangrove sediment

Optimization of the photocatalytic degradation process of aromatic organic compounds applied to mangrove sediment

A Generalized Approach to the Modeling of the Species-Area Relationship

Modelos simétricos transformados bayesianos para descrever o crescimento em altura de eucalyptus urophylla

Contact Info

Product

Resources

About