Analysis of \(\varPhi\)-divergence for loglinear models with constraints under product-multinomial sampling

DOI10.1007/s10255-013-0203-9zbMath1261.62067OpenAlexW2012749226MaRDI QIDQ1945968

Yinghua Jin, Yao-hua Wu

Publication date: 17 April 2013

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-013-0203-9

zbMATH Keywords

loglinear modelsproduct-multinomial sampling\(\varPhi\)-divergence test statisticsrestricted minimum \(\varPhi\)-divergence estimator (RM\(\varPhi\)DE)

Mathematics Subject Classification ID

Parametric inference under constraints (62F30) Generalized linear models (logistic models) (62J12) Statistical aspects of information-theoretic topics (62B10) Asymptotic properties of parametric tests (62F05)

Cites Work

• Minimum phi-divergence estimators for loglinear models with linear constraints and multinomial sampling
• Model selection in loglinear models using \(\phi\)-divergence measures and M\(\phi \)Es
• Theory of statistical inference and information. Transl. from the Slovak by the author
• Model checking in loglinear models using \(\phi\)-divergences and MLEs
• Minimum \(\phi\)-divergence estimators with constraints in multinomial populations
• Asymptotic divergence of estimates of discrete distributions
• Minimum \(\phi \)-divergence estimator and hierarchical testing in loglinear models under product-multinomial sampling
• Analysis of divergence in loglinear models when expected frequencies are subject to linear constraints
• The Power Function of Conditional Log-Linear Model Tests
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