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 |
. |
Category:
|
math |
. |
MSC:
|
62B10 |
MSC:
|
62G10 |
MSC:
|
62M02 |
MSC:
|
62M07 |
idZBL:
|
Zbl 0907.62007 |
idMR:
|
MR1603997 |
. |
Date available:
|
2009-09-24T19:10:45Z |
Last updated:
|
2012-06-06 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125395 |
. |
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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