Averages and |$1\sigma _{\rm std}$| of the normalized |$\log \alpha _0$|, |$\nu _{\rm char}$|, |$\gamma$|, |$\log {\rm RMS}$|, |$\nu _{50~{{\ \rm per\ cent}}}$|, and w parameters obtained after resampling the 2-min cadence data to 240 s, 10 min, and 30 min. The parameters were normalized by their corresponding 2-min cadence estimates before their averages and standard deviations across all stars and sectors were calculated. Values given in parentheses are the same results obtained after (a) excluding |$\eta (\nu)$| from equation (2), and (b) limiting the sample to stars and sectors with |$\nu _{50~{{\ \rm per\ cent}}} < 50\ \mu$|Hz and |$w < 12$|.
| . | 240 s . | |${\rm 10 min}$| . | |${\rm 30 min}$| . |
|---|---|---|---|
| |$\frac{\log \alpha _0}{\log \alpha _0 {\rm [2min]}}$| | |$0.999 \pm 0.012$| | |$0.995 \pm 0.029$| | |$1.000 \pm 0.044$| |
| (|$0.998 \pm 0.012)^a$| | (|$0.994 \pm 0.028)^a$| | (|$0.995 \pm 0.038)^a$| | |
| |$\frac{\nu _{\rm char}}{\nu _{\rm char} {\rm [2min]}}$| | |$1.042 \pm 0.212$| | |$1.285 \pm 0.87$| | |$1.354 \pm 1.103$| |
| (|$1.047 \pm 0.212)^a$| | (|$1.298 \pm 0.87)^a$| | (|$1.410 \pm 1.113)^a$| | |
| |$\frac{\gamma }{\gamma {\rm [2min]}}$| | |$1.007 \pm 0.060$| | |$1.056 \pm 0.194$| | |$1.052 \pm 0.287$| |
| (|$1.010 \pm 0.061)^a$| | (|$1.067 \pm 0.193)^a$| | (|$1.101 \pm 0.272)^a$| | |
| |$\frac{\log {\rm RMS}}{\log {\rm RMS} {\rm [2min]}}$| | |$0.992 \pm 0.014$| | |$0.984 \pm 0.029$| | |$0.976 \pm 0.042$| |
| (|$0.995 \pm 0.008)^b$| | (|$0.991 \pm 0.015)^b$| | (|$0.987 \pm 0.024)^b$| | |
| |$\frac{\nu _{50~{{\ \rm per\ cent}}}}{\nu _{50~{{\ \rm per\ cent}}} {\rm [2min]}}$| | |$1.002 \pm 0.055$| | |$1.006 \pm 0.054$| | … |
| (|$0.996 \pm 0.031)^b$| | (|$1.000 \pm 0.043)^b$| | … | |
| |$\frac{w}{w {\rm [2min]}}$| | |$0.999 \pm 0.041$| | |$0.998 \pm 0.121$| | … |
| (|$1.002 \pm 0.031)^b$| | (|$0.994 \pm 0.086)^b$| | … |
| . | 240 s . | |${\rm 10 min}$| . | |${\rm 30 min}$| . |
|---|---|---|---|
| |$\frac{\log \alpha _0}{\log \alpha _0 {\rm [2min]}}$| | |$0.999 \pm 0.012$| | |$0.995 \pm 0.029$| | |$1.000 \pm 0.044$| |
| (|$0.998 \pm 0.012)^a$| | (|$0.994 \pm 0.028)^a$| | (|$0.995 \pm 0.038)^a$| | |
| |$\frac{\nu _{\rm char}}{\nu _{\rm char} {\rm [2min]}}$| | |$1.042 \pm 0.212$| | |$1.285 \pm 0.87$| | |$1.354 \pm 1.103$| |
| (|$1.047 \pm 0.212)^a$| | (|$1.298 \pm 0.87)^a$| | (|$1.410 \pm 1.113)^a$| | |
| |$\frac{\gamma }{\gamma {\rm [2min]}}$| | |$1.007 \pm 0.060$| | |$1.056 \pm 0.194$| | |$1.052 \pm 0.287$| |
| (|$1.010 \pm 0.061)^a$| | (|$1.067 \pm 0.193)^a$| | (|$1.101 \pm 0.272)^a$| | |
| |$\frac{\log {\rm RMS}}{\log {\rm RMS} {\rm [2min]}}$| | |$0.992 \pm 0.014$| | |$0.984 \pm 0.029$| | |$0.976 \pm 0.042$| |
| (|$0.995 \pm 0.008)^b$| | (|$0.991 \pm 0.015)^b$| | (|$0.987 \pm 0.024)^b$| | |
| |$\frac{\nu _{50~{{\ \rm per\ cent}}}}{\nu _{50~{{\ \rm per\ cent}}} {\rm [2min]}}$| | |$1.002 \pm 0.055$| | |$1.006 \pm 0.054$| | … |
| (|$0.996 \pm 0.031)^b$| | (|$1.000 \pm 0.043)^b$| | … | |
| |$\frac{w}{w {\rm [2min]}}$| | |$0.999 \pm 0.041$| | |$0.998 \pm 0.121$| | … |
| (|$1.002 \pm 0.031)^b$| | (|$0.994 \pm 0.086)^b$| | … |
Averages and |$1\sigma _{\rm std}$| of the normalized |$\log \alpha _0$|, |$\nu _{\rm char}$|, |$\gamma$|, |$\log {\rm RMS}$|, |$\nu _{50~{{\ \rm per\ cent}}}$|, and w parameters obtained after resampling the 2-min cadence data to 240 s, 10 min, and 30 min. The parameters were normalized by their corresponding 2-min cadence estimates before their averages and standard deviations across all stars and sectors were calculated. Values given in parentheses are the same results obtained after (a) excluding |$\eta (\nu)$| from equation (2), and (b) limiting the sample to stars and sectors with |$\nu _{50~{{\ \rm per\ cent}}} < 50\ \mu$|Hz and |$w < 12$|.
| . | 240 s . | |${\rm 10 min}$| . | |${\rm 30 min}$| . |
|---|---|---|---|
| |$\frac{\log \alpha _0}{\log \alpha _0 {\rm [2min]}}$| | |$0.999 \pm 0.012$| | |$0.995 \pm 0.029$| | |$1.000 \pm 0.044$| |
| (|$0.998 \pm 0.012)^a$| | (|$0.994 \pm 0.028)^a$| | (|$0.995 \pm 0.038)^a$| | |
| |$\frac{\nu _{\rm char}}{\nu _{\rm char} {\rm [2min]}}$| | |$1.042 \pm 0.212$| | |$1.285 \pm 0.87$| | |$1.354 \pm 1.103$| |
| (|$1.047 \pm 0.212)^a$| | (|$1.298 \pm 0.87)^a$| | (|$1.410 \pm 1.113)^a$| | |
| |$\frac{\gamma }{\gamma {\rm [2min]}}$| | |$1.007 \pm 0.060$| | |$1.056 \pm 0.194$| | |$1.052 \pm 0.287$| |
| (|$1.010 \pm 0.061)^a$| | (|$1.067 \pm 0.193)^a$| | (|$1.101 \pm 0.272)^a$| | |
| |$\frac{\log {\rm RMS}}{\log {\rm RMS} {\rm [2min]}}$| | |$0.992 \pm 0.014$| | |$0.984 \pm 0.029$| | |$0.976 \pm 0.042$| |
| (|$0.995 \pm 0.008)^b$| | (|$0.991 \pm 0.015)^b$| | (|$0.987 \pm 0.024)^b$| | |
| |$\frac{\nu _{50~{{\ \rm per\ cent}}}}{\nu _{50~{{\ \rm per\ cent}}} {\rm [2min]}}$| | |$1.002 \pm 0.055$| | |$1.006 \pm 0.054$| | … |
| (|$0.996 \pm 0.031)^b$| | (|$1.000 \pm 0.043)^b$| | … | |
| |$\frac{w}{w {\rm [2min]}}$| | |$0.999 \pm 0.041$| | |$0.998 \pm 0.121$| | … |
| (|$1.002 \pm 0.031)^b$| | (|$0.994 \pm 0.086)^b$| | … |
| . | 240 s . | |${\rm 10 min}$| . | |${\rm 30 min}$| . |
|---|---|---|---|
| |$\frac{\log \alpha _0}{\log \alpha _0 {\rm [2min]}}$| | |$0.999 \pm 0.012$| | |$0.995 \pm 0.029$| | |$1.000 \pm 0.044$| |
| (|$0.998 \pm 0.012)^a$| | (|$0.994 \pm 0.028)^a$| | (|$0.995 \pm 0.038)^a$| | |
| |$\frac{\nu _{\rm char}}{\nu _{\rm char} {\rm [2min]}}$| | |$1.042 \pm 0.212$| | |$1.285 \pm 0.87$| | |$1.354 \pm 1.103$| |
| (|$1.047 \pm 0.212)^a$| | (|$1.298 \pm 0.87)^a$| | (|$1.410 \pm 1.113)^a$| | |
| |$\frac{\gamma }{\gamma {\rm [2min]}}$| | |$1.007 \pm 0.060$| | |$1.056 \pm 0.194$| | |$1.052 \pm 0.287$| |
| (|$1.010 \pm 0.061)^a$| | (|$1.067 \pm 0.193)^a$| | (|$1.101 \pm 0.272)^a$| | |
| |$\frac{\log {\rm RMS}}{\log {\rm RMS} {\rm [2min]}}$| | |$0.992 \pm 0.014$| | |$0.984 \pm 0.029$| | |$0.976 \pm 0.042$| |
| (|$0.995 \pm 0.008)^b$| | (|$0.991 \pm 0.015)^b$| | (|$0.987 \pm 0.024)^b$| | |
| |$\frac{\nu _{50~{{\ \rm per\ cent}}}}{\nu _{50~{{\ \rm per\ cent}}} {\rm [2min]}}$| | |$1.002 \pm 0.055$| | |$1.006 \pm 0.054$| | … |
| (|$0.996 \pm 0.031)^b$| | (|$1.000 \pm 0.043)^b$| | … | |
| |$\frac{w}{w {\rm [2min]}}$| | |$0.999 \pm 0.041$| | |$0.998 \pm 0.121$| | … |
| (|$1.002 \pm 0.031)^b$| | (|$0.994 \pm 0.086)^b$| | … |
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