Editing Benford's law (section)

==Moments==
[[Average]] and [[Moment (mathematics)|moments]] of random variables for the digits 1 to 9 following this law have been calculated:<ref name=Scott2001>Scott, P.D.; Fasli, M. (2001) [http://dces.essex.ac.uk/technical-reports/2001/CSM-349.pdf "Benford's Law: An empirical investigation and a novel explanation"] {{Webarchive|url=https://web.archive.org/web/20141213023657/http://dces.essex.ac.uk/technical-reports/2001/CSM-349.pdf |date=13 December 2014 }}. ''CSM Technical Report'' 349, Department of Computer Science, Univ. Essex</ref>
* [[mean]] 3.440
* [[variance]] 6.057
* [[skewness]] 0.796
* [[kurtosis]] −0.548

For the two-digit distribution according to Benford's law these values are also known:<ref name=Suh2010>{{cite journal | last1 = Suh | first1 = I. S. | last2 = Headrick | first2 = T. C. | year = 2010 | title = A comparative analysis of the bootstrap versus traditional statistical procedures applied to digital analysis based on Benford's law | url = http://www.bus.lsu.edu/accounting/faculty/lcrumbley/jfia/Articles/Abstracts/abs_2010v2n2a7.pdf | journal = Journal of Forensic and Investigative Accounting | volume = 2 | issue = 2 | pages = 144–175 | access-date = 30 June 2012 | archive-date = 7 October 2018 | archive-url = https://web.archive.org/web/20181007005451/http://www.bus.lsu.edu/accounting/faculty/lcrumbley/jfia/Articles/Abstracts/abs_2010v2n2a7.pdf | url-status = dead }}</ref>
* [[mean]] 38.590
* [[variance]] 621.832
* [[skewness]] 0.772
* [[kurtosis]] −0.547

A table of the exact probabilities for the joint occurrence of the first two digits according to Benford's law is available,<ref name=Suh2010/> as is the population correlation between the first and second digits:<ref name=Suh2010/> {{nowrap|1=''ρ'' = 0.0561}}.