Calculating Gini Coefficient in BigQuery with SQL

The Gini coefficient, also known as the Gini index, is a common econometric tool for measuring inequality of asset distribution.

Here is the query that outputs Gini coefficient for each day given daily non-zero (anonymous) account balances:

It uses 1 — 2B formula from this Wikipedia page, where B is the area under the Lorenz curve:

  • balance * (rank — 1) is the area of the rectangular horizontal slice under the Lorenz curve.
  • balance / 2 is the area of the triangle on the left of the rectangular slice.
  • all slices are then summed: sum((balance * (rank — 1) + balance / 2))
  • count(*) is needed to normalize the x axis to the range 0 to 1
  • sum(balance) is needed to normalize the y axis to the range 0 to 1

The result can be verified on this website

You can find a comparison of Gini Indexes of the major cryptocurrencies, which used this SQL, in the following article




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Evgeny Medvedev

Evgeny Medvedev

Creator of, Co-founder of and, Google Cloud GDE, AWS Certified Solutions Architect

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