The paper by Hebert et al "Comparing estimation techniques for timescale-dependent scaling of climate variability in paleoclimatic time series" studies temporal scaling of paleodata using various techniques and simulated data with non-equidistant time step. The paper is well written and can be accepted after a minor revision, according to the following comments.

The title should be changed to "Comparing estimation techniques for temporal scaling in paleoclimatic time series".

The following R package could be added as a reference and possibly as a tested tool:

https://www.atmosp.physics.utoronto.ca/people/vyushin/mysoftware.html 

It would be useful to add a list of acronyms in the beginning of the paper.

I think the following paper should be added to references: Detecting long-range correlations with detrended fluctuation analysis, JW Kantelhardt, E Koscielny-Bunde, HHA Rego, S Havlin, A Bunde, Physica A: Statistical Mechanics and its Applications 295 (3-4), 441-454 (2001)

It would be good to define what the authors mean by "quazi-Gaussian" (line 86).

In lines 33, 438, 479, the surnames should be corrected.

For ensemble averages, instead of symbols < and > it is better to use \langle and \rangle

In line 356, it is not clear what database is meant. 

In line 468, "Nature Climate Change" is typed twice. 

In line 490, remove &ndash

In line 507, change the titles from capital letters

In this manuscript submitted to as special issue in paleoclimate time series analysis, the authors consider different analysis methods to estimate the H scaling index of paleoclimate series. For this they consider fractional Brownian motion simulations, with adequate modifications in order to introduce an irregular time step, and they systematically check all proposed methods. This work is well explained and the systematic work is convincing. I have some minor comments and one suggestion of significant change.