Benford’s Law applies to word frequency rank in English, German, French, Spanish, and Italian

dc.contributor.authorGolbeck, Jennifer
dc.date.accessioned2024-06-06T14:55:30Z
dc.date.available2024-06-06T14:55:30Z
dc.date.issued2023-09-14
dc.descriptionPartial funding for Open Access provided by the UMD Libraries' Open Access Publishing Fund.
dc.description.abstractBenford’s Law states that, in many real-world data sets, the frequency of numbers’ first digits is predicted by the formula log(1 + (1/d)). Numbers beginning with a 1 occur roughly 30% of the time, and are six times more common than numbers beginning with a 9. We show that Benford’s Law applies to the the frequency rank of words in English, German, French, Spanish, and Italian. We calculated the frequency rank of words in the Google Ngram Viewer corpora. Then, using the first significant digit of the frequency rank, we found the FSD distribution adhered to the expected Benford’s Law distribution. Over a series of additional corpora from sources ranging from news to books to social media and across the languages studied, we consistently found adherence to Benford’s Law. Furthermore, at the user-level on social media, we found Benford’s Law holds for the vast majority of users’ collected posts and significant deviations from Benford’s Law tends to be a mark of spam bots.
dc.description.urihttps://doi.org/10.1371/journal.pone.0291337
dc.identifierhttps://doi.org/10.13016/wmlb-3ehb
dc.identifier.citationGolbeck J (2023) Benford’s Law applies to word frequency rank in English, German, French, Spanish, and Italian. PLoS ONE 18(9): e0291337.
dc.identifier.urihttp://hdl.handle.net/1903/32595
dc.language.isoen_US
dc.publisherPLoS
dc.relation.isAvailableAtCollege of Information Studiesen_us
dc.relation.isAvailableAtInformation Studiesen_us
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_us
dc.relation.isAvailableAtUniversity of Maryland (College Park, MD)en_us
dc.titleBenford’s Law applies to word frequency rank in English, German, French, Spanish, and Italian
dc.typeArticle
local.equitableAccessSubmissionNo

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