TY - JOUR ID - upm16718 VL - 377 TI - Reply to Comment on ``Towards a large deviation theory for strongly correlated systems'' SP - 491 UR - https://oa.upm.es/16718/ AV - public Y1 - 2013/02/04/ EP - 495 KW - Probability theory KW - Statistical mechanics KW - Entropy IS - 6 A1 - Ruiz Lopez, Guiomar A1 - Tsallis, Constantino SN - 0375-9601 N2 - The computational study commented by Touchette opens the door to a desirable generalization of standard large deviation theory for special, though ubiquitous, correlations. We focus on three interrelated aspects: (i) numerical results strongly suggest that the standard exponential probability law is asymptotically replaced by a power-law dominant term; (ii) a subdominant term appears to reinforce the thermodynamically extensive entropic nature of q-generalized rate function; (iii) the correlations we discussed, correspond to Q -Gaussian distributions, differing from Lévy?s, except in the case of Cauchy?Lorentz distributions. Touchette has agreeably discussed point (i), but, unfortunately, points (ii) and (iii) escaped to his analysis. Claiming the absence of connection with q-exponentials is unjustified. JF - Physics Letters A ER -