Title:
|
Monogenicity of probability measures based on measurable sets invariant under finite groups of transformations (English) |
Author:
|
Hille, Jürgen |
Author:
|
Plachky, Detlef |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
32 |
Issue:
|
4 |
Year:
|
1996 |
Pages:
|
375-387 |
. |
Category:
|
math |
. |
MSC:
|
28A10 |
MSC:
|
28A99 |
MSC:
|
60A10 |
idZBL:
|
Zbl 0939.28009 |
idMR:
|
MR1420129 |
. |
Date available:
|
2009-09-24T19:03:36Z |
Last updated:
|
2012-06-06 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124730 |
. |
Reference:
|
[1] P. Billingsley: Ergodic Theory and Information.Wiley, New York 1965. Zbl 0141.16702, MR 0192027 |
Reference:
|
[2] D. Blackwell, L. E. Dubins: On existence and non-existence of proper regular conditional distributions.Ann. Prob. 3 (1975), 741-752. Zbl 0348.60003, MR 0400320 |
Reference:
|
[3] D. L. Cohn: Measure Theory.Birkhäuser, Boston 1980. Zbl 0436.28001, MR 0578344 |
Reference:
|
[4] E. Grzegorek: Symmetric $\sigma$-fields of sets and universal null sets.In: Measure Theory, Lecture Notes in Mathematics, Vol. 945, Oberwolfach 1981, pp. 101-109. MR 0675273 |
Reference:
|
[5] J. Nedoma: Note on generalized random variables.In: Trans. of the First Prague Conference, Prague 1956, pp. 139-142. MR 0100909 |
Reference:
|
[6] D. Plachky: Characterization of continuous dependence of distributions on location parameters.In: Trans. of the Eleventh Prague Conference, Vol. A, Prague 1990, pp. 189-194. |
Reference:
|
[7] D. Plachky: A multivariate generalization of a theorem of R. H. Farrell.Proc. Amer. Math. Soc. 113 (1991), 163-165. Zbl 0731.28006, MR 1052873 |
Reference:
|
[8] D. Plachky: Characterization of discrete probability distributions by the existence of regular conditional distributions respectively continuity from below of inner probability measures.Asymptotic Statistics. In: Proc. of the Fifth Prague Conference, Prague 1993, pp. 421-424. MR 1311961 |
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