On the existence of disintegrations

Lester E. Dubins; Karel Prikry

Séminaire de probabilités de Strasbourg (1995)

  • Volume: 29, page 248-259

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Dubins, Lester E., and Prikry, Karel. "On the existence of disintegrations." Séminaire de probabilités de Strasbourg 29 (1995): 248-259. <http://eudml.org/doc/113908>.

@article{Dubins1995,
author = {Dubins, Lester E., Prikry, Karel},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {countable additive measure; Borel partition; conditional expectation; existence; disintegration},
language = {eng},
pages = {248-259},
publisher = {Springer - Lecture Notes in Mathematics},
title = {On the existence of disintegrations},
url = {http://eudml.org/doc/113908},
volume = {29},
year = {1995},
}

TY - JOUR
AU - Dubins, Lester E.
AU - Prikry, Karel
TI - On the existence of disintegrations
JO - Séminaire de probabilités de Strasbourg
PY - 1995
PB - Springer - Lecture Notes in Mathematics
VL - 29
SP - 248
EP - 259
LA - eng
KW - countable additive measure; Borel partition; conditional expectation; existence; disintegration
UR - http://eudml.org/doc/113908
ER -

References

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  2. [Bo, 1969] N. Bourbaki, Éléments de mathématique, Intégration, Chap. IX, Hermann, Paris, 1969. Zbl0189.14201MR276436
  3. [BD, 1975] D. Blackwell and L. Dubins, On existence and non-existence of proper, regular, conditional distributions, Ann. Probab.3 (1975), 741-752. Zbl0348.60003MR400320
  4. [BR, 1963] D. Blackwell and C. Ryll-Nardzewski, Non-existence of everywhere proper conditional distributions, Ann. Math. Statist.34 (1963), 223-225. Zbl0122.13202MR148097
  5. [D, 1975] L. Dubins, Finitely additive conditional probabilities, conglomerability and disintegrations, Ann. Probab.3 (1975), 89-99. Zbl0302.60002MR358891
  6. [D, 1976] _, On disintegrations and conditional probabilities, in Measure Theory, Lecture Notes in Math.541 (1976), 53-59, Springer - Verlag, New York, (A. Bellow and D. Kölzow, eds.). Zbl0349.28008MR453972
  7. [D, 1977] _, Measurable, tail disintegrations of the Haar integral are purely finitely additive, Proc. Amer. Math. Soc.62 (1977), 34-36. Zbl0349.28009MR425071
  8. [De, 1930] Bruno de Finetti, Sulla proprieta conglomerativa delle probabilita subordinata, Rend. R. Inst. Lombardo (Milano)63 (1930), 414-418. Zbl56.0445.02JFM56.0445.02
  9. [De, 1972] _, Probability, Induction and Statistics, J. Wiley, New York, 1972. MR440638
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  11. [DH, 1983] L. Dubins and D. Heath, With respect to tail sigma-fields, standard measures possess measurable disintegrations, Proc. Amer. Math. Soc.88 (1983), 416-418. Zbl0522.28006MR699405
  12. [DH, 1984] _, On means with countably additive discontinuities, Proc. Amer. Math. Soc.91 (1984), 270-274. Zbl0545.28006MR740184
  13. [GP, 1984] R. Gardner, W. Pfeffer, Borel measures, in Handbook of set-theoretic topology, North- Holland Publ. Co., Amsterdam, 1984, pp. 957-1039, (K. Kunen and J. Vaughan, eds.). Zbl0593.28016MR776641
  14. [K, 1983] K. Kunen, Set theory, North-Holland Publ. Co., Amsterdam, 1983. Zbl0534.03026MR756630
  15. [K, 1984] _, Random and Cohen reals, in Handbook of set-theoretic topology, North-Holland Publ. Co., Amsterdam, 1984, pp. 887-911, (K. Kunen and J. Vaughan). Zbl0588.03035MR776619
  16. [MR, 1988] A. Maitra and S. Ramakrishnan, Factorization of measures and normal conditional distributions, Proc. Amer. Math. Soc.103 (1988), 1259-1267. Zbl0656.60006MR955019
  17. [P, 1967] K.R. Parthasarathy, Probability measures on metric spaces, Academic Press, New york1967. Zbl0153.19101MR226684
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  19. [SV, 1979] D. Stroock and S. Varadhan, Multidimensional diffusion processes, Springer-Verlag, New York1979. Zbl0426.60069MR532498

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