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Title: Testing in stationary models based on divergences of observed and theoretical frequencies (English)
Author: Menéndez, María Luisa
Author: Morales, Domingo
Author: Pardo, Leandro
Author: Vajda, Igor
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 33
Issue: 5
Year: 1997
Pages: 465-475
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Category: math
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MSC: 62B10
MSC: 62G10
MSC: 62M02
MSC: 62M07
idZBL: Zbl 0907.62007
idMR: MR1603997
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Date available: 2009-09-24T19:10:45Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/125395
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Reference: [1] S. M. Ali, S. D. Silvey: A general class of coefficients of divergence of one distribution from another.J. Roy. Statist. Soc. 286 (1996), 131-142. MR 0196777
Reference: [2] P. Billingsley: Statistical methods in Markov chains.Ann. Math. Statist. 32 (1961), 12-40. Zbl 0104.12802, MR 0123420
Reference: [3] I. Csiszár: Information type measures of difference of probability distributions and indirect observations.Stud. Sci. Mathem. Hungaricae 2 (1967), 299-318. MR 0219345
Reference: [4] N. A. C. Cressie, T. R. C. Read: Multinomial goodness of fit tests.J. Roy. Statist. Soc. Ser. B 46 (1984), 440-464. Zbl 0571.62017, MR 0790631
Reference: [5] F. Liese, I. Vajda: Convex Statistical Distances.Teubner, Leipzig 1987. Zbl 0656.62004, MR 0926905
Reference: [6] M. L. Menéndez D. Morales L. Pardo, I. Vajda: Divergence-based estimation and testing of statistical models of classification.J. Multivariate Anal. 54 (1995), 329-354. MR 1345543
Reference: [7] T. R. C. Read, N. A. C. Cressie: Goodness-of-Fit Statistics for Discrete Multivariate Data.Springer-Verlag, Berlin 1988. Zbl 0663.62065, MR 0955054
Reference: [8] A. L. Rukhin: Optimal estimator of the mixture parameter by the method of moments and information affinity.In: Trans. 12 th Prague Conference on Information Theory, Statistical Decision Functions and Random Processes (J. Á. Víšek and P. Lachout, eds.), Institute of Information Theory and Automation, Czech Academy of Sciences, Prague 1994, pp. 214-219.
Reference: [9] S. Tavaré, P. M. E. Altham: Serial dependence of observations leading to contingency tables, and corrections to chi-squared statistics.Biometrika 70 (1983), 139-144. MR 0742983
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