Statistical models for globular cluster luminosity distribution

Max Louis G. Buot, Donald Richards

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We consider statistical models that have been proposed for luminosity distributions for the globular clusters in the Milky Way and M31. Although earlier research showed that the cluster luminosity functions in those two galaxies were well fit by Gaussian distributions, subsequent investigations suggested that their luminosities were better fit by t-, rather than Gaussian, distributions. By applying the Bayesian Information Criterion, we do not find overwhelming statistical evidence that the t-distribution is superior to the Gaussian distribution as a model of luminosity distribution for the Milky Way. In the case of M31, we find moderate evidence that the Gaussian distribution is superior to the t-distribution. In neither case do we find strong evidence to support the use of one distribution over the other as a statistical model for the luminosities of the globular clusters in the Milky Way and M31. Consequently, we recommend that the Gaussian be retained as the statistical model for luminosity distribution. Moreover, we urge caution in the use of the Kolmogorov-Smirnov statistic to justify the choice of statistical models for globular cluster luminosity functions.

Original languageEnglish (US)
Title of host publicationNonparametric Statistics and Mixture Models
Subtitle of host publicationA Festschrift in Honor of Thomas P Hettmansperger
PublisherWorld Scientific Publishing Co.
Pages58-68
Number of pages11
ISBN (Electronic)9789814340564
ISBN (Print)9814340553, 9789814340557
DOIs
StatePublished - Jan 1 2011

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Statistical Model
Gaussian distribution
t-distribution
Kolmogorov-Smirnov Statistic
Bayesian Information Criterion
Galaxies
Justify
Evidence
Model

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Buot, M. L. G., & Richards, D. (2011). Statistical models for globular cluster luminosity distribution. In Nonparametric Statistics and Mixture Models: A Festschrift in Honor of Thomas P Hettmansperger (pp. 58-68). World Scientific Publishing Co.. https://doi.org/10.1142/9789814340564_0005
Buot, Max Louis G. ; Richards, Donald. / Statistical models for globular cluster luminosity distribution. Nonparametric Statistics and Mixture Models: A Festschrift in Honor of Thomas P Hettmansperger. World Scientific Publishing Co., 2011. pp. 58-68
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Buot, MLG & Richards, D 2011, Statistical models for globular cluster luminosity distribution. in Nonparametric Statistics and Mixture Models: A Festschrift in Honor of Thomas P Hettmansperger. World Scientific Publishing Co., pp. 58-68. https://doi.org/10.1142/9789814340564_0005

Statistical models for globular cluster luminosity distribution. / Buot, Max Louis G.; Richards, Donald.

Nonparametric Statistics and Mixture Models: A Festschrift in Honor of Thomas P Hettmansperger. World Scientific Publishing Co., 2011. p. 58-68.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Buot MLG, Richards D. Statistical models for globular cluster luminosity distribution. In Nonparametric Statistics and Mixture Models: A Festschrift in Honor of Thomas P Hettmansperger. World Scientific Publishing Co. 2011. p. 58-68 https://doi.org/10.1142/9789814340564_0005