RT Journal Article
T1 Minimum power-divergence estimator in three-way contingency tables
A1 Pardo Llorente, Leandro
A1 Pardo Llorente, María del Carmen
AB Cressie et al. (2000; 2003) introduced and studied a new family of statistics, based on the phi-divergence measure, for solving the problem of testing a nested sequence of loglinear models. In that family of test statistics the parameters are estimated using the minimum phi-divergence estimator which is a generalization of the maximum likelihood estimator. In this paper we study the minimum power-divergence estimator (the most important family of minimum phi-divergence estimator) for a nested sequence of loglinear models in three-way contingency tables under assumptions of multinomial sampling. A simulation study illustrates that the minimum chi-squared estimator is simultaneously the most robust and efficient estimator among the family of the minimum power-divergence estimator.
PB Tailor and Francis
SN 0094-9655
YR 2003
FD 2003
LK https://hdl.handle.net/20.500.14352/57823
UL https://hdl.handle.net/20.500.14352/57823
DS Docta Complutense
RD 21 ago 2024