AIC and BIC for cosmological interacting scenarios

In this paper we study linear and non-linear cosmological interactions with analytical solutions, which depend on dark matter and dark energy densities in the framework of General Relativity. By using the Akaike information criterion (AIC) and the Bayesian information criterion (BIC) with data from SnIa (Union 2.1 and JLA), H(z), BAO and CMB, we compare the interacting models among themselves and analyze whether more complex interacting models are favored by these criteria. In this context, we find some suitable interactions that alleviate the coincidence problem.