Granulation signatures as seen by Kepler short-cadence data - II. A hierarchical route to inferring stellar radii from granulation

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Volume 711 (July 2026)

A&A, 711 (2026) A245

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Table 1.

Global regression parameters of Eq. (1) inferred by the hierarchical modelling, specified for the three background models in Table 1 of Paper I.

Parameter	H	J	T
C	$- 0 . 018_{- 0.006}^{+ 0.006}$ $Mathematical equation: $ -0.018^{+0.006}_{-0.006} $$	$0 . 010_{- 0.005}^{+ 0.005}$ $Mathematical equation: $ 0.010^{+0.005}_{-0.005} $$	$- 0 . 009_{- 0.006}^{+ 0.006}$ $Mathematical equation: $ -0.009^{+0.006}_{-0.006} $$
x	$0 . 10_{- 0.04}^{+ 0.04}$ $Mathematical equation: $ 0.10^{+0.04}_{-0.04} $$	$0 . 11_{- 0.04}^{+ 0.04}$ $Mathematical equation: $ 0.11^{+0.04}_{-0.04} $$	$0 . 09_{- 0.04}^{+ 0.04}$ $Mathematical equation: $ 0.09^{+0.04}_{-0.04} $$
y	$- 0 . 63_{- 0.02}^{+ 0.02}$ $Mathematical equation: $ -0.63^{+0.02}_{-0.02} $$	$- 0 . 57_{- 0.02}^{+ 0.02}$ $Mathematical equation: $ -0.57^{+0.02}_{-0.02} $$	$- 0 . 63_{- 0.02}^{+ 0.02}$ $Mathematical equation: $ -0.63^{+0.02}_{-0.02} $$
z	$1 . 20_{- 0.09}^{+ 0.09}$ $Mathematical equation: $ 1.20^{+0.09}_{-0.09} $$	$0 . 97_{- 0.08}^{+ 0.08}$ $Mathematical equation: $ 0.97^{+0.08}_{-0.08} $$	$1 . 19_{- 0.09}^{+ 0.08}$ $Mathematical equation: $ 1.19^{+0.08}_{-0.09} $$
w	$0 . 05_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ 0.05^{+0.01}_{-0.01} $$	$0 . 04_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ 0.04^{+0.01}_{-0.01} $$	$0 . 05_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ 0.05^{+0.01}_{-0.01} $$
σ	$0 . 039_{- 0.002}^{+ 0.002}$ $Mathematical equation: $ 0.039^{+0.002}_{-0.002} $$	$0 . 039_{- 0.002}^{+ 0.002}$ $Mathematical equation: $ 0.039^{+0.002}_{-0.002} $$	$0 . 037_{- 0.002}^{+ 0.002}$ $Mathematical equation: $ 0.037^{+0.002}_{-0.002} $$

Notes. The parameter estimates are given as the median and 16th and 84th percentiles of the posteriors produced by the hierarchical modelling, as seen in the corner plots of Figs. 3, C.1, and C.2, respectively for models H, J and T.

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