  In this paper, we respond to a critique of one of our papers previously
published in this journal, entitled "TVOR: Finding Discrete Total Variation
Outliers among Histograms". Our paper proposes a method for smoothness outliers
detection among histograms by using the relation between their discrete total
variations (DTV) and their respective sample sizes. In this response, we
demonstrate point by point that, contrary to its claims, the critique has not
found any mistakes or problems in our paper, either in the used datasets,
methodology, or in the obtained top outlier candidates. On the contrary, the
critique's claims can easily be shown to be mathematically unfounded, to
directly contradict the common statistical theorems, and to go against well
established demographic terms. Exactly this is done in the reply here by
providing both theoretical and experimental evidence. Additionally, due to
critique's complaint, a more extensive research on top outlier candidate, i.e.
the Jasenovac list is conducted and in order to clear any of the critique's
doubts, new evidence of its problematic nature unseen in other lists are
presented. This reply is accompanied by additional theoretical explanations,
simulations, and experimental results that not only confirm the earlier
findings, but also present new data. The source code is at
https://github.com/DiscreteTotalVariation/TVOR.
