RT Journal Article T1 Minimum phi-divergence estimators with constraints in multinomial populations A1 Pardo Llorente, Julio Ángel A1 Pardo Llorente, Leandro A1 Zografos, Konstantinos AB This paper presents a minimum phi-divergence estimation procedure in multinomial models in which the probabilities depend on unknown parameters that are not mathematically independent but satisfy some functional relationships, This estimator is then used in a phi-divergence statistic for solving the problem of goodness-of-fit when the unknown parameters in the probabilities are not mathematically independent. The asymptotic distribution of this family of statistics is obtained under the null and contiguous alternative hypotheses, The asymptotic distribution of residuals. when the parameters are estimated using the minimum phi-divergence estimator. is also obtained. PB Elsevier Science SN 0378-3758 YR 2002 FD 2002 LK https://hdl.handle.net/20.500.14352/57775 UL https://hdl.handle.net/20.500.14352/57775 LA eng DS Docta Complutense RD 8 abr 2025