Minimum φ-divergence estimators with constraints in multinomial populations

Journal of Statistical Planning and Inference

Volumn 104, Issue 1, 2002, Pages 221-237

  Pardo, J A ^a   Pardo, L ^a   Zografos, K ^b  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Asymptotic distributions; Minimun divergence estimators wih contraints; Multinomial distribution; Noncentrality parameters; Power divergence

Indexed keywords

EID: 0036568427     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(01)00113-6     Document Type: Article

References (22)

1. Maximum likelihood estimation of parameters subject to constraints
2. Minimum Hellinger distance estimates for parametric models
3. On tests of symmetry when higher order interactions are absent
4. A new proof of the Pearson-Fisher theorem
5. Pearson chi-square estimator and test for log-linear models with expected frequencies subject to linear constraints
6. An elementary introduction to maximum likelihood estimation for multinomial models: Birch theorem and the delta method
7. Multinomial goodness-of-fit tests
8. Information type measures of difference of probability distributions and indirect observations
9. Asymptotic power and asymptotic independence in the statistical analysis of categorical data
10. A course in Large Sample Theory
11. Nonparametric Methods in Statistics
12. Iterative maximum likelihood estimation for discrete distributions
13. Maximum likelihood methods for linear and log-linear models in categorical data
14. Maximum likelihood estimation for log-linear models when expected frequencies are subject to linear constraints
15. The Analysis of Frequency Data
16. Information Theory and Statistics
17. Efficiency versus robustness: The case for minimum Hellinger distance and related methods
18. Asymptotic divergences of estimates of discrete distributions
19. Goodness-of-fit Statistics for Discrete Multivariate Data
20. The Lagrangian multiplier test
21. Generalized linear models specified in terms of constraints
22. φ-divergence statistics: Sampling properties and multinomial goodness of fit and divergence tests