Distribution of active regions on the solar surface estimated by statistical methods

Statistical properties of solar active regions (AR) have been studied. In particular, (1) the distribution of ARs by their areas and importances using normal and lognormal distribution laws; (2) it was checked whether the distribution of the ARs' birth sites satisfies the Poisson distribution law (the so-called ‘law of rare events’). Observational data of 1979–1982 have been used and our conclusions are as follows:

1. As regards the areas, the distribution of the ARs that emerged near or on the borders of the large-scale background fields is normal or lognormal.
2. As regards the importances, the distribution of all ARs is lognormal.
3. The distribution of ARs that emerged far from background field borders is not normal.
4. ARs are not casual or rare events on the Sun.