Pardo Llorente, María del Carmen2023-06-202023-06-2020000023-5954https://hdl.handle.net/20.500.14352/57795This work was supported by Grant DGICYT PB96-0635.The distribution of each member of the family of statistics based on the R-phi-divergence for testing goodness-of-fit is a chi-squared to o(1) (Pardo [12]). In this paper a closer approximation to the exact distribution is obtained by extracting the phi -dependent second order component from the o(1) term.engjournal articlehttp://dml.cz/dmlcz/135362http://dml.cz/open access519.21Multinomial GoodnessTestsApproximationProbabilidades (Matemáticas)