Supplemental Mathematics

The paper is 1.

Other papers emphasize the first (mean) and second (noise) moments. In Eq.9, the third central moment was also considered. Here is the detailed derivation for Eq.A4&A5 in the supplementary information.

References

[1] Hilfinger, A., Chen, M., & Paulsson, J. (2012). Using temporal correlations and full distributions to separate intrinsic and extrinsic fluctuations in biological systems. Physical review letters, 109(24), 248104. online