@article{upm16718, title = {Reply to Comment on ``Towards a large deviation theory for strongly correlated systems''}, journal = {Physics Letters A}, author = {Guiomar Ruiz Lopez and Constantino Tsallis}, pages = {491--495}, year = {2013}, volume = {377}, number = {6}, month = {February}, abstract = {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 L{\'e}vy?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.}, url = {https://oa.upm.es/16718/}, keywords = {Probability theory, Statistical mechanics, Entropy} }