Benford's Law

stochastic-process · 37 views
stochastic-processstochastic

What It Is

Benford-distributed significands --- leading-digit law P(d) = log₁₀(1+1/d), the distribution of first digits in real-world datasets spanning multiple orders of magnitude

Interpretation

Standard analysis sees: no strongly notable standard properties. The atlas detects no named structure beyond this. It sits beside Wichmann-Hill in the atlas (standard-bank rank 66) — a neighbor conventional features miss.

What the atlas adds

Nothing beyond the standard reading — this source’s structure is already captured by standard features; the atlas adds no named residual.

Composition

dtypefloat64
range[1, 9.999]
unique values16384 / 16384
mean ± std3.73 ± 2.44

Render Gallery

Atlas Position

Nearest neighborDistance
BSL Residues2.84cross-origin
Wichmann-Hill2.91cross-origin
MT19937 (Mersenne Twister)2.92cross-origin

Open in Atlas →

Which Geometries Light Up

Catch24Catch24:SB_MotifThree_quantile_hhrank 3/3072.1971
Spectral AnalysisSpectral Analysis:spectral_peakednessrank 303/3070.0005
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