First-digit law

GPTKB entity

Statements (32)
Predicate Object
gptkbp:instanceOf statistical law
gptkbp:alsoKnownAs gptkb:Benford's_law
gptkbp:appliesTo many real-life sources of data
gptkbp:compatibleWith data sets with imposed minimums or maximums
data sets with assigned numbers
gptkbp:describes frequency distribution of leading digits in numerical data
gptkbp:firstDigit 2
1
3
4
5
6
7
8
9
gptkbp:firstDigitProbability P(d) = log10(1 + 1/d)
https://www.w3.org/2000/01/rdf-schema#label First-digit law
gptkbp:namedAfter gptkb:Frank_Benford
gptkbp:probabilityFirstDigit1 ~30.1%
gptkbp:probabilityFirstDigit9 ~4.6%
gptkbp:publicationYear 1938
gptkbp:publishedBy gptkb:Frank_Benford
gptkbp:relatedTo scale invariance
mathematical statistics
logarithmic distribution
gptkbp:state lower digits occur as first digit more frequently than higher digits
gptkbp:usedIn accounting
data science
fraud detection
forensic analytics
gptkbp:bfsParent gptkb:Benford's_law
gptkbp:bfsLayer 7