| Title:
|
On a class of perimeter-type distances of probability distributions (English) |
| Author:
|
Österreicher, Ferdinand |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
32 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
389-393 |
| . |
| Category:
|
math |
| . |
| MSC:
|
60E05 |
| MSC:
|
62B10 |
| MSC:
|
94A17 |
| idZBL:
|
Zbl 0897.60015 |
| idMR:
|
MR1420130 |
| . |
| Date available:
|
2009-09-24T19:03:43Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124731 |
| . |
| Reference:
|
[1] S. M. Ali, S. D. Silvey: A general class of coefficients of divergence of one distribution from another.J. Roy. Statist. Soc. Ser. B 28 (1966), 131-142. Zbl 0203.19902, MR 0196777 |
| Reference:
|
[2] D. E. Boekee: A generalization of the Fisher information measure.Delft University Press, Delft 1977. |
| Reference:
|
[3] I. Csiszár, J. Fischer: Informationsentfernungen im Raum der Wahrscheinlichkeitsverteilungen.Magyar Tud. Akad. Mat. Kutató Int. Kösl. 7 (1962), 159-180. MR 0191734 |
| Reference:
|
[4] I. Csiszár: Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten.Publ. Math. Inst. Hungar. Acad. Sci. 8 (1963), 85-107. MR 0164374 |
| Reference:
|
[5] D. Feldman, F. Österreicher: Divergenzen von Wahrscheinlichkeitsverteilungen -- integralgeometrisch betrachtet.Acta Math. Acad. Sci. Hungar. 37 (1981), 4, 329-337. MR 0619882 |
| Reference:
|
[6] P. Kafka F. Österreicher, I. Vincze: On powers of $f$-divergences defining a distance.Studia Sci. Math. Hungar. 26 (1991), 415-422. MR 1197090 |
| Reference:
|
[7] F. Liese, I. Vajda: Convex Statistical Distances.Teubner-Texte zur Mathematik, Band 95, Leipzig 1987. Zbl 0656.62004, MR 0926905 |
| Reference:
|
[8] K. Matusita: Decision rules based on the distance for problems of fit, two samples and estimation.Ann. Math. Stat. 26 (1955), 631-640. Zbl 0065.12101, MR 0073899 |
| Reference:
|
[9] F. Österreicher: The construction of least favourable distributions is traceable to a minimal perimeter problem.Studia Sci. Math. Hungar. 17 (1982), 341-351. MR 0761549 |
| Reference:
|
[10] F. Österreicher: The risk set of a testing problem -- A vivid statistical tool.In: Trans. of the Eleventh Prague Conference, Academia, Prague 1992, Vol. A, pp. 175-188. |
| Reference:
|
[11] E. Reschenhofer, I. M. Bomze: Length tests for goodness of fit.Biometrika 78 (1991), 207-216. Zbl 0722.62035, MR 1118246 |
| Reference:
|
[12] I. Vajda, F. Österreicher: Statistical information and discrimination.IEEE Trans. Inform. Theory 39 (1993), 3, 1036-1039. MR 1237725 |
| Reference:
|
[13] I. Vincze: On the concept and measure of information contained in an observation.In: Contributions to Probability (J. Gani and V. F. Rohatgi, eds.), Academic Press, New York 1981, pp. 207-214. Zbl 0531.62002, MR 0618690 |
| . |
