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gptkbp:instanceOf
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statistical law
|
|
gptkbp:alsoKnownAs
|
gptkb:First-digit_law
|
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gptkbp:appliesTo
|
gptkb:financial_services_company
stock prices
populations
death rates
physical constants
many real-life sources of data
river lengths
street addresses
|
|
gptkbp:category
|
gptkb:mathematics
gptkb:probability_theory
statistics
|
|
gptkbp:compatibleWith
|
assigned numbers (e.g., telephone numbers)
data sets with imposed minimums or maximums
|
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gptkbp:describes
|
frequency distribution of leading digits in numerical data
|
|
gptkbp:firstDescribed
|
gptkb:Simon_Newcomb
|
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gptkbp:firstDigit
|
2
1
3
4
5
6
7
8
9
|
|
gptkbp:firstDigitProbability
|
P(d) = log10(1 + 1/d)
|
|
gptkbp:form
|
scale invariance
base invariance
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Benford's law
|
|
gptkbp:namedAfter
|
gptkb:Frank_Benford
|
|
gptkbp:probabilityFirstDigit1
|
~30.1%
|
|
gptkbp:probabilityFirstDigit2
|
~17.6%
|
|
gptkbp:probabilityFirstDigit3
|
~12.5%
|
|
gptkbp:probabilityFirstDigit4
|
~9.7%
|
|
gptkbp:probabilityFirstDigit5
|
~7.9%
|
|
gptkbp:probabilityFirstDigit6
|
~6.7%
|
|
gptkbp:probabilityFirstDigit7
|
~5.8%
|
|
gptkbp:probabilityFirstDigit8
|
~5.1%
|
|
gptkbp:probabilityFirstDigit9
|
~4.6%
|
|
gptkbp:relatedTo
|
logarithmic distribution
|
|
gptkbp:state
|
in many naturally occurring collections of numbers, the leading digit is likely to be small
|
|
gptkbp:usedIn
|
accounting
fraud detection
election data analysis
forensic data analysis
scientific data validation
|
|
gptkbp:yearDescribedByBenford
|
1938
|
|
gptkbp:yearDescribedByNewcomb
|
1881
|
|
gptkbp:bfsParent
|
gptkb:Cindy_Benford_Merrill
gptkb:Simon_Newcomb
|
|
gptkbp:bfsLayer
|
6
|