Monogenicity of probability measures based on measurable sets invariant under finite groups of transformations

Jürgen Hille; Detlef Plachky

Kybernetika (1996)

  • Volume: 32, Issue: 4, page 375-387
  • ISSN: 0023-5954

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Hille, Jürgen, and Plachky, Detlef. "Monogenicity of probability measures based on measurable sets invariant under finite groups of transformations." Kybernetika 32.4 (1996): 375-387. <http://eudml.org/doc/27885>.

@article{Hille1996,
author = {Hille, Jürgen, Plachky, Detlef},
journal = {Kybernetika},
keywords = {monogenicity of a measure; group of measurable transformations; invariant set},
language = {eng},
number = {4},
pages = {375-387},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Monogenicity of probability measures based on measurable sets invariant under finite groups of transformations},
url = {http://eudml.org/doc/27885},
volume = {32},
year = {1996},
}

TY - JOUR
AU - Hille, Jürgen
AU - Plachky, Detlef
TI - Monogenicity of probability measures based on measurable sets invariant under finite groups of transformations
JO - Kybernetika
PY - 1996
PB - Institute of Information Theory and Automation AS CR
VL - 32
IS - 4
SP - 375
EP - 387
LA - eng
KW - monogenicity of a measure; group of measurable transformations; invariant set
UR - http://eudml.org/doc/27885
ER -

References

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  1. P. Billingsley, Ergodic Theory and Information, Wiley, New York 1965. (1965) Zbl0141.16702MR0192027
  2. D. Blackwell, L. E. Dubins, On existence and non-existence of proper regular conditional distributions, Ann. Prob. 3 (1975), 741-752. (1975) Zbl0348.60003MR0400320
  3. D. L. Cohn, Measure Theory, Birkhäuser, Boston 1980. (1980) Zbl0436.28001MR0578344
  4. E. Grzegorek, Symmetric σ -fields of sets and universal null sets, In: Measure Theory, Lecture Notes in Mathematics, Vol. 945, Oberwolfach 1981, pp. 101-109. (1981) MR0675273
  5. J. Nedoma, Note on generalized random variables, In: Trans. of the First Prague Conference, Prague 1956, pp. 139-142. (1956) MR0100909
  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. (1990) 
  7. D. Plachky, A multivariate generalization of a theorem of R. H. Farrell, Proc. Amer. Math. Soc. 113 (1991), 163-165. (1991) Zbl0731.28006MR1052873
  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. (1993) MR1311961

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