Distances to Nine Nearby Galaxies using Carbon Stars

An appendix to the paper:
'The Araucaria Project. Distances to Nine Galaxies Based on a Statistical Analysis of their Carbon Stars (JAGB Method)'
by Zgirski et al. (2021)

< J₀ > determinations using profile fit
Color-magnitude diagrams with marked sample-selection boxes next to corresponding luminosity functions.

LMC, (J-K)0∈(1.3 m, 2.0 m)	LMC, (J-K)0∈(1.45 m, 2.0 m)	SMC	N3109	N247	N55 1st night	N55 2nd night	N6822 PANIC	N6822 SOFI	N7793	M33	N300 1st night	N300 2nd night	WLM 1st night	WLM 2nd night

Simulations of possible results using bootstrapping
Statistical uncertainties of determinations of < J₀ > estimated as rms of outcomes resulting from bootstrapping

LMC	SMC	N3109	N247	N55 1st night	N55 2nd night	N6822 PANIC	N6822 SOFI	N7793	M33	N300 1st night	N300 2nd night	WLM 1st night	WLM 2nd night

Components of fitted functions (Gaussian and quadratic)
Residual distributions (in orange) resulting from the subtraction of the quadratic component of the fit from the apparent distribution of luminosities of stars from selection boxes for all studied galaxies. The original distributions of luminosities are shown using black, empty bins in the background.

LMC	SMC	N3109	N247	N55 1st night	N55 2nd night	N6822 PANIC	N6822 SOFI	N7793	M33	N300 1st night	N300 2nd night	WLM 1st night	WLM 2nd night

Dependence of obtained results on the selection box size and center
Dependence of the determinations of < J₀ > using profile fits (and, additionally, using median and mean in the case of the Magellanic Clouds) on selection-box size (x axis, in mag), and position (three different box centers marked with different shapes. The box size of 2.5 mag chosen for our work (marked by a silver dashed line with a ±0.1 mag interval denoted with thinner lines) gives a stable result (< J₀ >, in mag) that does not change significantly with a minor change of the size, and gives universally stable results for the sample of the galaxies we analyzed. Orange areas correspond to selection boxes for which the fit did not converge.

LMC, profile fit	LMC, mean	LMC, median	SMC, profile fit	SMC, mean	SMC, median	N3109	N247	N55 1st night	N55 2nd night	N6822 PANIC	N6822 SOFI	N7793	M33	N300 1st night	N300 2nd night	WLM 1st night	WLM 2nd night