RT Journal Article T1 Renyi statistics in directed families of exponential experiments A1 Morales González, Domingo A1 Pardo Llorente, Leandro A1 Vadja, Igor AB Renyi 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. PB Taylor & Francis SN 0233-1888 YR 2000 FD 2000 LK https://hdl.handle.net/20.500.14352/57870 UL https://hdl.handle.net/20.500.14352/57870 DS Docta Complutense RD 9 abr 2025