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- Publisher
- Springer Journals
- Copyright
- Copyright © 2013 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-013-0203-9
- Publisher site
- See Article on Publisher Site
Abstract
The loglinear model under product-multinomial sampling with constraints is considered. The asymptotic expansion and normality of the restricted minimum ϕ-divergence estimator (RMϕDE) which is a generalization of the maximum likelihood estimator is presented. Then various statistics based on ϕ-divergence and RMϕDE are used to test various hypothesis test problems under the model considered. These statistics contain the classical loglikelihood ratio test statistics and Pearson chi-squared test statistics. In the last section, a simulation study is implemented.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Mar 20, 2013