RT Journal Article T1 Minimum phi-divergence estimator and hierarchical testing in loglinear models A1 Cressie, Noel A. A1 Pardo Llorente, Leandro AB In this paper we consider inference based on very general divergence measures, under assumptions of multinomial sampling and loglinear models. We define the minimum phi-divergence estimator, which is seen to be a generalization of the maximum likelihood estimator. This estimator is then used in a phi-divergence goodness-of-fit statistic, which is the basis of two new statistics for solving the problem of testing a nested sequence of loglinear models. PB Statistica sinica SN 1017-0405 YR 2000 FD 2000-07 LK https://hdl.handle.net/20.500.14352/57868 UL https://hdl.handle.net/20.500.14352/57868 LA eng DS Docta Complutense RD 4 abr 2025