Fang, B and Miller, SJ (2025)

Benford Behavior Resulting From Stick and Box Fragmentation Processes

Preprint arXiv:2508.12915 [math.PR]; last accessed October 16, 2025.

ISSN/ISBN: Not available at this time. DOI: Not available at this time.

---

• For online information, click here.

---

Abstract: Benford's law is the statement that in many real world data sets, the probability of having digit d in base B, where 1≤d≤B, as the first digit is \log_{B}\!\left(\frac{d+1}{d}\right). We sometimes refer to this as weak Benford behavior, and we say that a data set exhibits strong Benford behavior in base B if the probability of having significand at most s, where 1≤s

---

Bibtex:
@misc{, title={Benford behavior resulting from stick and box fragmentation processes}, author={Bruce Fang and Steven J. Miller}, year={2025}, eprint={2508.12915}, archivePrefix={arXiv}, primaryClass={math.PR}, url={https://arxiv.org/abs/2508.12915}, }

---

Reference Type: Preprint

Subject Area(s): Probability Theory, Statistics

---