@article{KYB_1984_20_1_a0,
author = {Grim, Ji\v{r}{\'\i}},
title = {On structural approximating multivariate discrete probability distributions},
journal = {Kybernetika},
pages = {1--17},
year = {1984},
volume = {20},
number = {1},
mrnumber = {741419},
zbl = {0547.62034},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1984_20_1_a0/}
}
Grim, Jiří. On structural approximating multivariate discrete probability distributions. Kybernetika, Tome 20 (1984) no. 1, pp. 1-17. http://geodesic.mathdoc.fr/item/KYB_1984_20_1_a0/
[1] D. T. Brown: A note on approximations to discrete probability distributions. Inform. and Control 2 (1959), 4, 386-392. | MR | Zbl
[2] C. K. Chow: Tree dependence in normal distributions. International Symposium on Information Theory, Nordwijk, The Netherlands 1970.
[3] C. K. Chow, C. N. Liu: Approximating discrete probability distributions with dependence trees. IEEE Trans. Inform. Theory IT-14 (1968), 3, 462-467. | Zbl
[4] C. K. Chow, T. J. Wagner: Consistency of an estimate of tree-dependent probability distribution. IEEE Trans. Inform. Theory IT-19 (1973), 5, 369-371.
[5] W. E. Deming, F. F. Stephan: On a least squares adjustement of a sampled frequency table when the expected marginal totals are known. Ann. Math. Statist. 77 (1940), 427-444. | MR
[6] W. A. Gibson: Three multivariate models: factor analysis, latent structure analysis and latent profile analysis. Psychometrika 24 (1959), 229 - 252. | MR
[7] J. Grim: On estimation of multivariate probability density functions for situation recognition in large scale systems. In: Proceedings of Third Formator Symposium (J. Benes, L. Bakule, eds.), Academia, Prague 1979. | Zbl
[8] J. Grim: On numerical evaluation of maximum-likelihood estimates for finite mixtures of distributions. Kybernetika 18 (1982), 3, 173-190. | MR | Zbl
[9] J. Grim: Application of finite mixtures to multivariate statistical pattern recognition. In: Proceedings of DIANA Conference held in Liblice near Prague, September 27 - October 1, 1982.
[10] C. T. Ireland, S. Kullback: Contingency tables with given marginals. Biometrika 55 (1968), 179-188. | MR | Zbl
[11] A. Д. Юдин: Об информативных структурах многомерных случайных величин. (On information structures of multidimensional random variables.) Известия AH CCCP - Teхническая кибернетика (1977), 6, 135-144. | Zbl
[12] H. H. Ku, S. Kullback: Approximating discrete probability distributions. IEEE Trans. Inform. Theory IT-15 (1969), 444-447. | MR
[13] S. Kullback: Probability densities with given marginals. Ann. Math. Statist. 39 (1968), 4, 1236-1243. | MR | Zbl
[14] P. F. Lazarsfeld, N. W. Henry: Latent structure analysis. Houghton Mifflin, Boston 1968. | Zbl
[15] P. M. Lewis: Approximating probability distributions to reduce storage requirements. Inform. and Control 2 (1959), 214-225. | MR | Zbl
[16] A. Perez: $\epsilon$-admissible simplification of the dependence structure of a set random variables. Kybernetika 13 (1977), 6, 439-449. | MR
[17] R. C. Prim: Shortest connection networks and some generalizations. Bell System Tech. J. 36 (1957), 1389-1401.
[18] F. F. Stephan: An iterative method of adjusting sample frequency tables when expected marginal totals are known. Ann. Math. Statist. 13 (1942), 166- 178. | MR | Zbl