| Title:
|
On structural approximating multivariate discrete probability distributions (English) |
| Author:
|
Grim, Jiří |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
20 |
| Issue:
|
1 |
| Year:
|
1984 |
| Pages:
|
1-17 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62E20 |
| MSC:
|
62E99 |
| MSC:
|
62H05 |
| MSC:
|
62H12 |
| MSC:
|
65C99 |
| idZBL:
|
Zbl 0547.62034 |
| idMR:
|
MR741419 |
| . |
| Date available:
|
2009-09-24T17:38:27Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125676 |
| . |
| Reference:
|
[1] D. T. Brown: A note on approximations to discrete probability distributions.Inform. and Control 2 (1959), 4, 386-392. Zbl 0117.14804, MR 0110598 |
| Reference:
|
[2] C. K. Chow: Tree dependence in normal distributions.International Symposium on Information Theory, Nordwijk, The Netherlands 1970. |
| Reference:
|
[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 0165.22305 |
| Reference:
|
[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. |
| Reference:
|
[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 0003527 |
| Reference:
|
[6] W. A. Gibson: Three multivariate models: factor analysis, latent structure analysis and latent profile analysis.Psychometrika 24 (1959), 229 - 252. MR 0109097 |
| Reference:
|
[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 0485.93006 |
| Reference:
|
[8] J. Grim: On numerical evaluation of maximum-likelihood estimates for finite mixtures of distributions.Kybernetika 18 (1982), 3, 173-190. Zbl 0489.62028, MR 0680154 |
| Reference:
|
[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. |
| Reference:
|
[10] C. T. Ireland, S. Kullback: Contingency tables with given marginals.Biometrika 55 (1968), 179-188. Zbl 0155.26701, MR 0229329 |
| Reference:
|
[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 1170.01341 |
| Reference:
|
[12] H. H. Ku, S. Kullback: Approximating discrete probability distributions.IEEE Trans. Inform. Theory IT-15 (1969), 444-447. MR 0243669 |
| Reference:
|
[13] S. Kullback: Probability densities with given marginals.Ann. Math. Statist. 39 (1968), 4, 1236-1243. Zbl 0165.20303, MR 0229330 |
| Reference:
|
[14] P. F. Lazarsfeld, N. W. Henry: Latent structure analysis.Houghton Mifflin, Boston 1968. Zbl 0182.52201 |
| Reference:
|
[15] P. M. Lewis: Approximating probability distributions to reduce storage requirements.Inform. and Control 2 (1959), 214-225. Zbl 0095.32602, MR 0110597 |
| Reference:
|
[16] A. Perez: $\epsilon$-admissible simplification of the dependence structure of a set random variables.Kybernetika 13 (1977), 6, 439-449. MR 0472224 |
| Reference:
|
[17] R. C. Prim: Shortest connection networks and some generalizations.Bell System Tech. J. 36 (1957), 1389-1401. |
| Reference:
|
[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. Zbl 0060.31505, MR 0006674 |
| . |
