Pérez, TeresaPardo Llorente, Julio ÁngelLópez-Díaz, Miguel C.Gil, M. AngelesGrzegorzewski, PrzemyslawHryniewicz, OlgierdLawry, Jonathan2023-06-202023-06-202004978-3-540-22264-4https://hdl.handle.net/20.500.14352/531932nd International Conference on Soft Methods in Probability and Statistics (SMPS 2004) SEP 02, 2004-SEP 04, 2007 Oviedo, SPAINAsymptotic distributions of K-phi-divergence statistics are derived by either testing goodness-of-fit under symmetric null hypothesis, or composite null hypotheses when the unspecified parameters are estimated by minimum K-phi-divergence. The asymptotic chi-square null distribution and three alternative approximations to the exact distribution function of this family are considered and a new goodness-of fit statistics emerges as an alternative to Pearson's chi-square test. Test of homogeneity is also obtained.book parthttp://www.springer.com/engineering/computational+intelligence+and+complexity/book/978-3-540-22264-4http://www.springer.commetadata only access519.22Of-fit testsAsymptotic normalityGoodnessEstadística matemática (Matemáticas)1209 Estadística