1995/10/04 by R. Triay, Triay, R., Stéphane Rauzy +4
Mathematics · Physics and Astronomy · #Advanced Statistical Methods and Models #Astrophysics (astro-ph) #FOS: Physical sciences #Statistical Mechanics and Entropy #Statistical and numerical algorithms #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/9510018
8 pages, Postscript compressed file, to be published in A\&A
arxiv created 1995/10/04 · openalex publication_date 1995/10/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper completes the statistical modeling of the Hubble flow when a Tully-Fisher type relation is used for estimating the absolute magnitude M≈ a p+b from a line width distance indicator p. Our investigation is performed with the aim of providing us with a full understanding of statistical biases due to selection effects in observation, regardless of peculiar velocities of galaxies. We show that unbiased H∘-statistics can be obtained by means of the maximum likelihood method as long as the statistical model can be defined. We focus on the statistical models related to the Direct, resp. Inverse, Tully-Fisher relation, when selection effects on distance, resp. on p, are present. It turns out that the use of the Inverse relation should be preferred, according to robustness criteria. The formal results are ensured by simulations with samples which are randomly generated according to usual characteristics.