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In this letter we study the observed distributions of rotational velocity ina sample of more than 16,000 nearby F and G dwarf stars, magnitude complete andpresenting high precision $Vsin i$ measurements. We show that the velocitydistributions cannot be fitted by a maxwellian. On the other hand, an analysisbased on both Tsallis and Kaniadakis power-law statistics is by far the mostappropriate statistics and give a very good fit. It is also shown that singleand binary stars have similar rotational distributions. This is the first time,to our knowledge, that these two new statistics are tested for the rotation ofsuch a large sample of stars, pointing solidly to a solution of the puzzlingproblem on the function governing the distribution of stellar rotationalvelocity

Non-gaussian statistics and stellar rotational velocities of main sequence field stars