Pardo Llorente, María del Carmen2023-06-202023-06-202011-030026-133510.1007/s00184-009-0275-yhttps://hdl.handle.net/20.500.14352/42448The author would like to thank a referee for critically reading this paper and making suggestions. This work was partially supported by Grants MTM2006-06872 and BSCH-UCM2008-910707.Based on φ-divergences an estimator of the generalized linear models for multinomial data under linear restrictions on the parameters is considered. New test statistics, also based on φ-divergences are considered as alternatives to the classical ones for testing a hypothesis about linear restrictions on the parameters. The asymptotic distribution of them is obtained under the null hypothesis as well as under contiguous local hypotheses. An application of the estimators and the tests is illustrated in a numerical example and in simulation studies. contiguous local hypotheses.An application of the estimators and the tests is illustrated in a numerical example and in simulation studies.engjournal articlehttp://link.springer.com/article/10.1007%2Fs00184-009-0275-yhttp://www.springer.com/?SGWID=5-102-0-0-0restricted access519.22Generalized linear models for multinomial dataRestricted minimum φ-divergence estimationLinear restrictionsφ-divergence test statisticsEstadística matemática (Matemáticas)1209 Estadística