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Minimum $$K_{\phi }$$ K ϕ -divergence estimators for multinomial models and applications

  • Published:2013-08-31 Issue:1-2 Volume:29 Page:363-401
  • ISSN:0943-4062
  • Container-title:Computational Statistics
  • language:en
  • Short-container-title:Comput Stat

Author:

Jiménez-Gamero M. D.,Pino-Mejías R.,Rufián-Lizana A.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Statistics, Probability and Uncertainty,Statistics and Probability

Reference26 articles.

1. Basu A, Sarkar S (1994) On disparity based goodness-of-fit tests for multinomial models. Stat Probab Lett 19:307–312

2. Bouzebda S, Cherfi M (2012) General bootstrap for dual $$\phi $$ ϕ -divergence estimates. J Probab Stat. doi: 10.1155/2012/834107

3. Broniatowski M, Keziou A (2006) Minimization of $$\phi $$ ϕ -divergences on sets of signes measures. Studia Sci Math Hungar 43:403–442

4. Broniatowski M, Keziou A (2009) Parametric estimation and testing through divergences and the duality technique. J Multivar Anal 100:16–36

5. Burbea J, Rao CR (1982) On the convexity of some divergence measures based on entropy functions. IEEE Trans Inform Theory 28:489–495

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