Imperial College London
Portrait Picture

Professor David van Dyk

Faculty of Natural Sciences, Department of Mathematics

Chair in Statistics
 
 
 
//

Contact

 

+44 (0)20 7594 8574d.van-dyk Website

 
 
//

Assistant

 

Mr David Whittaker +44 (0)20 7594 8481

 
//

Location

 

539Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Stenning:2016:1/41,
author = {Stenning, D and Wagner-Kaiser, R and Robinson, E and van, Dyk D and von, Hippel T and Sarajedini, A and Stein, N},
doi = {1/41},
journal = {Astrophysical Journal},
title = {BAYESIAN ANALYSIS OF TWO STELLAR POPULATIONS IN GALACTIC GLOBULAR CLUSTERS I: STATISTICAL AND COMPUTATIONAL METHODS},
url = {http://dx.doi.org/10.3847/0004-637X/826/1/41},
volume = {826},
year = {2016}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We develop a Bayesian model for globular clusters composed of multiple stellar populations, extendingearlier statistical models for open clusters composed of simple (single) stellar populations (e.g., vanDyk et al. 2009; Stein et al. 2013). Specifically, we model globular clusters with two populations thatdiffer in helium abundance. Our model assumes a hierarchical structuring of the parameters in whichphysical properties—age, metallicity, helium abundance, distance, absorption, and initial mass—arecommon to (i) the cluster as a whole or to (ii) individual populations within a cluster, or are unique to(iii) individual stars. An adaptive Markov chain Monte Carlo (MCMC) algorithm is devised for modelfitting that greatly improves convergence relative to its precursor non-adaptive MCMC algorithm. Ourmodel and computational tools are incorporated into an open-source software suite known as BASE-9.We use numerical studies to demonstrate that our method can recover parameters of two-populationclusters, and also show model misspecification can potentially be identified. As a proof of concept,we analyze the two stellar populations of globular cluster NGC 5272 using our model and methods.(BASE-9 is available from GitHub: https://github.com/argiopetech/base/releases).
AU  - Stenning,D
AU  - Wagner-Kaiser,R
AU  - Robinson,E
AU  - van,Dyk D
AU  - von,Hippel T
AU  - Sarajedini,A
AU  - Stein,N
DO  - 1/41
PY  - 2016///
SN  - 1538-4357
TI  - BAYESIAN ANALYSIS OF TWO STELLAR POPULATIONS IN GALACTIC GLOBULAR CLUSTERS I: STATISTICAL AND COMPUTATIONAL METHODS
T2  - Astrophysical Journal
UR  - http://dx.doi.org/10.3847/0004-637X/826/1/41
UR  - http://hdl.handle.net/10044/1/31928
VL  - 826
ER  -
Download