Perfect Mixtures of Perfect Measures
Ramachandran, D.
Ann. Probab., Tome 7 (1979) no. 6, p. 444-452 / Harvested from Project Euclid
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It is shown that all the possible cases can arise in the mixture problem with respect to perfectness of probability measures. A characterization of perfectness is obtained through properties of a countably generated sub-$\sigma$-algebra given which there is a regular conditional probability. Perfectness of a perfect mixture of perfect measures is characterized.
Publié le : 1979-06-14
Classification:  Atoms of a $\sigma$-algebra,  discrete measure,  perfect measure,  mixture,  regular conditional probability,  partial selector,  28A15,  28A20,  28A25,  28A35 
@article{1176995045,
     author = {Ramachandran, D.},
     title = {Perfect Mixtures of Perfect Measures},
     journal = {Ann. Probab.},
     volume = {7},
     number = {6},
     year = {1979},
     pages = { 444-452},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176995045}
}

Ramachandran, D. Perfect Mixtures of Perfect Measures. Ann. Probab., Tome 7 (1979) no. 6, pp.  444-452. http://gdmltest.u-ga.fr/item/1176995045/