It is shown that a perfect mixture of perfect probability measures need not be perfect and that a perfect mixture of nonperfect measures can be perfect. Perfect mixtures of discrete measures are shown to be perfect.
Publié le : 1974-06-14
Classification:
2813,
2825,
2840,
6005,
Atoms of a $\sigma$-algebra,
atoms of a measure,
discrete measure,
mixture,
perfect measure
@article{1176996666,
author = {Ramachandran, D.},
title = {Mixtures of Perfect Probability Measures},
journal = {Ann. Probab.},
volume = {2},
number = {6},
year = {1974},
pages = { 495-500},
language = {en},
url = {http://dml.mathdoc.fr/item/1176996666}
}
Ramachandran, D. Mixtures of Perfect Probability Measures. Ann. Probab., Tome 2 (1974) no. 6, pp. 495-500. http://gdmltest.u-ga.fr/item/1176996666/