Maximum-criterion conjecture for linear-fragmentation processes

A linear-fragmentation process is a continuous process with finite mean, variance, and third moment. Maximum-criterion conjecture. Every linear-fragmentation process satisfies the maximum criterion in all dimensions

1dm.1 \leq d \leq m.

The maximum criterion is the assumption used in the paper's theorem on the Benfordness of the maximum measurement. This conjecture proposes that the criterion holds broadly for continuous linear-fragmentation processes with the stated moment conditions; the source does not report a resolution.

Sources & referencesView supporting material

Primary source

Livia Betti, Irfan Durmić, Zoe McDonald, Jack B. Miller and Steven J. Miller, “Benfordness of Measurements Resulting from Box Fragmentation”, arXiv:2304.08335 (2023).

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