| Title:
|
On measures of statistical dependence (English) |
| Author:
|
Zvárová, Jana |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
99 |
| Issue:
|
1 |
| Year:
|
1974 |
| Pages:
|
15-29 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62H20 |
| idZBL:
|
Zbl 0282.62048 |
| idMR:
|
MR0365799 |
| DOI:
|
10.21136/CPM.1974.108218 |
| . |
| Date available:
|
2009-09-23T08:31:40Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108218 |
| . |
| Reference:
|
[1] I. Cziszár: Eine Informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten.Magyar Tud. Akad. Mat. Kutató Int. Közl. 8, 1963, 85-108. 28 MR 0164374 |
| Reference:
|
[2] L Csiszár: Information-type measures of difìerence of probability distributions and indirect observations.Studia Scientarium Math. Hung. 2, 1967, 299-318. MR 0219345 |
| Reference:
|
[3] L. A. Goodman W. H. Kruskall: Measures of association for cross classifications.Journal of the Аmer. Stat. Аssoc. 49, 1954, 732-764. |
| Reference:
|
[4] W. Höffding: Stochastische Аbhängigkeit und Functionaler Zusammenhang.Skandinavisk Аktuarietidskrift, Uppsala 1942, 200-227. |
| Reference:
|
[5] E. H. Linfoot: Аn informational measure of correlation.Information and control 1, 1957, 85-91. MR 0092706 |
| Reference:
|
[6] M. Loève: Probability theory.Moscow, 1962 (in Russian). MR 0140129 |
| Reference:
|
[7] J. Neveu: Bases mathématiques du calcul des probabilités.Masson et Cie, Paris 1964. Zbl 0137.11203, MR 0198504 |
| Reference:
|
[8] K. Pearson: On the criterion that a given system of deviations from the probable in the case of correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling.Phil. Mag. Ser. 50, 1900, 157-172. |
| Reference:
|
[9] A. Perez: Notions géneralisées ďincertitude, ďentropie et ďinformation du point du vue de la théorie des martingales.Transactions of the First Prague Conference, Prague 1957, 183-208. MR 0099889 |
| Reference:
|
[10] A. Perez: Contributions de la théorie de ľinformation à la cybernétique.4e Congrès international de cybernétique, Namur, 1964, Namur 1967, 85-101. |
| Reference:
|
[11] A. Perez: Information-theoretic risk estimates in statistical decision.Kybernetika 3, 1967, 11-21. Zbl 0153.48403, MR 0208775 |
| Reference:
|
[12] A. Perez: Some estimates of the probability of error in discriminating two stationary random processes.Preѕented at the Conference on Information Theory in Dubna, USSR, 1969. |
| Reference:
|
[13] M. S. Pinsker: Information and information ѕtability of random variableѕ and proceѕѕeѕ.Moѕcow, 1960 (in Ruѕѕian). |
| Reference:
|
[14] C. R. Rao: Lineаr ѕtаtiѕticаl inference аnd itѕ аpplicаtiоnѕ.Wiley 1965. |
| Reference:
|
[15] A. Rényi: On meаѕureѕ оf ѕtаtiѕticаl dependence.Аctа Mаth. Hung. 10, 1959, 441 - 451. |
| Reference:
|
[16] A. Rényi: On meаѕureѕ оf entrоpy аnd infоrmаtiоn.Prоc. 4th Berkeley Symp. оn Mаth. Stаt. аnd Prоb., Vоl. I, Berkeley, 1960, 547-561. |
| Reference:
|
[17] C. E. Sărndal: А clаѕѕ оf explicаtа fоr *'infоrmаtiоn" аnd "weight оf evidence".Review оf ISI, Vоl. 38, 1970, 22З-2З5. |
| Reference:
|
[18] I. Vajda: On the аmоunt оf infоrmаtiоn cоntаined in а ѕequence оf independent оbѕervаtiоnѕ.Kybernetikа 6, 1970, З06-З2З. |
| Reference:
|
[19] I. Vajda: Limit theоremѕ fоr tоtаl vаriаtiоn оf Саrteѕiаn prоduct meаѕureѕ.Studiа Sci. Mаth. Hung. 6, 1971, З17-ЗЗЗ. MR 0310950 |
| Reference:
|
[20] I. Vajda: On the $f$-divergence аnd ѕingulаrity оf prоbаbility meаѕureѕ.Periоdicа Mаth. Hung. 2, 1972, 22З-2З4. MR 0335163 |
| Reference:
|
[21] K. Vašek: Pоdmíněná entrоpie а prаvdӗpоdоbnоѕt chyby v ѕtаtiѕtickém rоzhоdоvání.(unpubliѕhed). |
| Reference:
|
[22] J. Zvárová: On the аѕymptоtic behаviоur оf а ѕаmple eѕtimаtог оf Rényi'ѕ infоrmаtiоn оf оrder $\alpha$.Trаnѕаctiоnѕ оf the Sixth Prаgue Соnference, Prаgue 1973, 919-924. |
| . |
