Repositório Digital

A- A A+

The overlooked potential of generalized linear models in astronomy – III. Bayesian negative binomial regression and globular cluster populations

.

The overlooked potential of generalized linear models in astronomy – III. Bayesian negative binomial regression and globular cluster populations

Mostrar registro completo

Estatísticas

Título The overlooked potential of generalized linear models in astronomy – III. Bayesian negative binomial regression and globular cluster populations
Autor Souza, Rafael da Silva de
Hilbe, Joseph
Buelens, Bart
Riggs, J. D.
Cameron, Ewan
Ishida, Emille Eugenia de Oliveira
Chies-Santos, Ana Leonor
Killedar, Madhura
Abstract In this paper, the third in a series illustrating the power of generalized linear models (GLMs) for the astronomical community, we elucidate the potential of the class of GLMs which handles count data. The size of a galaxy’s globular cluster (GC) population (NGC) is a prolonged puzzle in the astronomical literature. It falls in the category of count data analysis, yet it is usually modelled as if it were a continuous response variable. We have developed a Bayesian negative binomial regression model to study the connection between NGC and the following galaxy properties: central black hole mass, dynamical bulge mass, bulge velocity dispersion and absolute visual magnitude. The methodology introduced herein naturally accounts for heteroscedasticity, intrinsic scatter, errors in measurements in both axes (either discrete or continuous) and allows modelling the population of GCs on their natural scale as a nonnegative integer variable. Prediction intervals of 99 per cent around the trend for expected NGC comfortably envelope the data, notably including the Milky Way, which has hitherto been considered a problematic outlier. Finally, we demonstrate how random intercept models can incorporate information of each particular galaxy morphological type. Bayesian variable selection methodology allows for automatically identifying galaxy types with different productions of GCs, suggesting that on average S0 galaxies have a GC population 35 per cent smaller than other types with similar brightness.
Contido em Monthly notices of the Royal Astronomical Society. Oxford. Vol. 453, no. 2 (Oct. 2015), p. 1928-1940
Assunto Aglomerados globulares
Estatística aplicada
[en] Globular clusters: general
[en] Methods: data analysis
[en] Methods: statistical
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/140345
Arquivos Descrição Formato
000985381.pdf (2.128Mb) Texto completo Adobe PDF Visualizar/abrir

Este item está licenciado na Creative Commons License

Este item aparece na(s) seguinte(s) coleção(ões)


Mostrar registro completo

Percorrer



  • O autor é titular dos direitos autorais dos documentos disponíveis neste repositório e é vedada, nos termos da lei, a comercialização de qualquer espécie sem sua autorização prévia.
    Projeto gráfico elaborado pelo Caixola - Clube de Criação Fabico/UFRGS Powered by DSpace software, Version 1.8.1.