Simplicial regression. The normal model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F11%3A33141572" target="_blank" >RIV/61989592:15310/11:33141572 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Simplicial regression. The normal model

Popis výsledku v původním jazyce

Regression models with compositional response have been studied from the beginning of the log-ratio approach for analysing compositional data. These early approaches suggested the statistical hypothesis of logistic-normality of the compositional residuals to test the model and its coecients. Also, the Dirichlet distribution has been proposed as an alternative model for compositional residuals, but it leads to restrictive and not easy-to-use regressions. Recent advances on the Euclidean geometry of the simplex and on the logistic-normal distribution allow re-formulating simplicial regression with logistic-normal residuals. Estimation of the model is presented as a least-squares problem in the simplex and is formulated in terms of orthonormal coordinates. This estimation decomposes into simple linear regression models which can be assessed independently. Marginal normality of the coordinate-residuals success to check influence of covariables using standard regression tests. Examples illu

Název v anglickém jazyce

Simplicial regression. The normal model

Popis výsledku anglicky

Regression models with compositional response have been studied from the beginning of the log-ratio approach for analysing compositional data. These early approaches suggested the statistical hypothesis of logistic-normality of the compositional residuals to test the model and its coecients. Also, the Dirichlet distribution has been proposed as an alternative model for compositional residuals, but it leads to restrictive and not easy-to-use regressions. Recent advances on the Euclidean geometry of the simplex and on the logistic-normal distribution allow re-formulating simplicial regression with logistic-normal residuals. Estimation of the model is presented as a least-squares problem in the simplex and is formulated in terms of orthonormal coordinates. This estimation decomposes into simple linear regression models which can be assessed independently. Marginal normality of the coordinate-residuals success to check influence of covariables using standard regression tests. Examples illu

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Applied Probability and Statistics

ISSN

1930-6792

e-ISSN

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Svazek periodika

6

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

22

Strana od-do

87-108

Kód UT WoS článku

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EID výsledku v databázi Scopus

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