@article{(Open Science Index):https://publications.waset.org/pdf/10012676,
	  title     = {Base Change for Fisher Metrics: Case of the q−Gaussian Inverse Distribution},
	  author    = {Gabriel I. Loaiza O. and  Carlos A. Cadavid M. and  Juan C. Arango P.},
	  country	= {},
	  institution	= {},
	  abstract     = {It is known that the Riemannian manifold determined by the family of inverse Gaussian distributions endowed with the Fisher metric has negative constant curvature κ = −1/2 , as does the family of usual Gaussian distributions. In the present paper, firstly we arrive at this result by following a different path, much simpler than the previous ones. We first put the family in exponential form, thus endowing the family with a new set of parameters, or coordinates, θ1, θ2; then we determine the matrix of the Fisher metric in terms of these parameters; and finally we compute this matrix in the original parameters. Secondly, we define the Inverse q−Gaussian distribution family (q < 3), as the family obtained by replacing the usual exponential function by the Tsallis q−exponential function in the expression for the Inverse Gaussian distribution, and observe that it supports two possible geometries, the Fisher and the q−Fisher geometry. And finally, we apply our strategy to obtain results about the Fisher and q−Fisher geometry of the Inverse q−Gaussian distribution family, similar to the ones obtained in the case of the Inverse Gaussian distribution family. },
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {16},
	  number    = {9},
	  year      = {2022},
	  pages     = {74 - 80},
	  ee        = {https://publications.waset.org/pdf/10012676},
	  url   	= {https://publications.waset.org/vol/189},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 189, 2022},
	}