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00925njm 22002777a 4500 dc Morales González, Domingo author Pardo Llorente, Leandro author Vadja, Igor author 2000 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. 0233-1888 10.1080/02331880008802324 https://hdl.handle.net/20.500.14352/57870 http://www.tandfonline.com/doi/abs/10.1080/02331880008802324 http://www.tandfonline.com/ Renyi statistics in directed families of exponential experiments