Menéndez Calleja, María LuisaMorales González, DomingoPardo Llorente, LeandroVadja, Igor2023-06-202023-06-2019880361-092610.1080/03610929808832117https://hdl.handle.net/20.500.14352/57876Csiszar's phi-divergences of discrete distributions are extended to a more general class of disparity measures by restricting the convexity of functions phi(t), t > 0, to the local convexity at t = 1 and monotonicity on intervals (0, 1) and (1, infinity). Goodness-of-fit estimation and testing procedures based on the phi-disparity statistics are introduced. Robustness of the estimation procedure is discussed and the asymptotic distributions for the testing procedure are established in statistical models with data grouped according to their values or orders.Two approaches to grouping of data and related disparity statisticsjournal articlehttp://www.tandfonline.com/doi/abs/10.1080/03610929808832117http://www.tandfonline.com/metadata only access519.2divergence measuresdisparity measuresasymptotic distributiontesting statistical hypothesesorder statisticsof-fit testsmultinomial goodnessdivergencemodelrobustnessefficiencyEstadística aplicada