Pardo Llorente, Julio ÁngelPardo Llorente, María del Carmen2023-06-202023-06-202008-091387-584110.1007/s11009-007-9054-2https://hdl.handle.net/20.500.14352/50218In this paper, we assume that the data are distributed according to a binomial distribution whose probabilities follow a generalized linear model. To fit the data the minimum phi-divergence estimator is studied as a generalization of the maximum likelihood estimator. We use the minimum phi-divergence estimator, which is the basis of some new statistics, for solving the problems of testing in a generalized linear model with binary data. A wide simulation study is carried out for studying the behavior of the new family of estimators as well as of the new family of test statistics.engjournal articlehttp://www.springerlink.com/content/l879687n443x6592/fulltext.pdfhttp://www.springerlink.comrestricted access519.22generalized linear modelchi-squared distributionbinomial distributionphi-divergence measurenested sequenceEstadística matemática (Matemáticas)1209 Estadística