de Souza, AndréM.C.; Tsallis, Constantino - In: Physica A: Statistical Mechanics and its Applications 236 (1997) 1, pp. 52-57
The optimization of the recently generalized entropy of the form Sq ≡ 1 − ∝dx[p(x)]q∼/(q−1) with the constraints ∝dxp(x) = 1 and 〈x2〉q ≡ ∝dxx2[p(x)]q = 1 yields the Student's t-distribution for q > 1, and the r-distribution for q < 1.