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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
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Category: math
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MSC: 28A10
MSC: 28A99
MSC: 60A10
idZBL: Zbl 0939.28009
idMR: MR1420129
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Date available: 2009-09-24T19:03:36Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/124730
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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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