Article PDF
References
Blackwell, D.: On a class of probability spaces. Proc. Third Berkeley Sympos. math. Statist. Probab. 2, 1–6 (1956).
—, Ryll-Nardzewski, C.: Non-existence of everywhere proper conditional distributions. Ann. math. Statistics 34, 223–225 (1963).
Doob, J.L.: Stochastic processes. New York: Wiley 1953.
Halmos, P.R.: Measure theory. Princeton: Van Nostrand 1962.
Marczewski, E.: Ensembles indépendants et leurs applications à la théorie de la mesure. Fundamenta Math. 35, 13–28 (1948).
Parthasarathy, K.R.: Probability measures on metric spaces. New York and London: Academic Press 1967.
Pfanzagl, J.: On the existence of regular conditional probabilities. Z. Wahrscheinlichkeitstheorie verw. Geb. 11, 244–256 (1969).
—, Pierlo, W.: Compact systems of sets. Lecture Notes in Mathematics 16. Berlin-Heidelberg-New York: Springer 1966.
Rao, B.V.: Studies in Borel structures. Doctor thesis. Indian Statistical Institute. Calcutta 1969.
Tarski, A.: Ideale in vollstÄndigen Mengenkörpern. I. Fundamenta Math. 32, 45–63 (1939).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Musiał, K. Existence of proper conditional probabilities. Z. Wahrscheinlichkeitstheorie verw Gebiete 22, 8–12 (1972). https://doi.org/10.1007/BF00538901
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00538901