Morales González, DomingoPardo Llorente, LeandroVadja, Igor2023-06-202023-06-2020000233-188810.1080/02331880008802324https://hdl.handle.net/20.500.14352/57870Renyi statistics are considered in a directed family of general exponential models. These statistics are defined as Renyi distances between estimated and hypothetical model. An asymptotically quadratic approximation to the Renyi Statistics is established, leading to similar asymptotic distribution results as established in the literature For the likelihood ratio statistics. Some arguments in favour of the Renyi statistics are discussed, and a numerical comparison of the Renyi goodness-of-fit tests with the Likelihood ratio test is presented.journal articlehttp://www.tandfonline.com/doi/abs/10.1080/02331880008802324http://www.tandfonline.com/metadata only access519.2exponential modelsresting goodness-of-fitRenyi distancesRenyi statisticsstochastic-processesmodelsProcesos estocásticos1208.08 Procesos Estocásticos