Cressie, Noel A.Pardo Llorente, Leandro2023-06-202023-06-202000-071017-0405https://hdl.handle.net/20.500.14352/57868In 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.engjournal articlehttp://www3.stat.sinica.edu.tw/statistica/oldpdf/A10n310.pdfhttp://www3.stat.sinica.edu.tw/statistica/open access519.21asymptotic distributionsFraminghan heart studymultinomial distributionnested hypothesespower divergenceRenyi divergencedistributionsProbabilidades (Matemáticas)