Application of the Information Criterion to the Estimation ofGalaxy Luminosity Function

To determine the exact shape of the luminosity function (LF) of galaxies is one of the central problems in galactic astronomy and observational cosmology. The most popular method to estimate the LF is maximum likelihood, which is clearly understood with the concepts of the information theory. In the field of information theory and statistical inference, great advance has been made by the discovery of Akaike's Information Criterion (AIC). It enables us to perform a direct comparison among different types of model swith different numbers of parameters, and provides us a common basis of the model adequacy. In this paper we applied AIC to the determination of the shape of the LF. We first treated the estimation using stepwise LF(Efstathiou, Ellis and Peterson,1988), and derived a formula to obtain the optimal bin number. In addition, we studied the method to compare the goodness-of-fit of the parametric form (Sandage, Tamman and Yahil, 1979) with stepwise LF.

• Publication year

  1999

• Venue

  Astrophysics and Space Science

• Publication date

  1999-09-19

• Fields of study

  Physics

• Identifiers
  DOI 10.1023/A:1002438524580arXiv astro-ph/9909324
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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