Short Proofs of Two Convergence Theorems for Conditional Expectations

Landers, D.; Rogge, L.

Landers, D. ; Rogge, L.

Ann. Math. Statist., Tome 43 (1972) no. 6, p. 1372-1373 / Harvested from Project Euclid

Résumé

In this paper there are given new proofs of two convergence theorems for conditional expectations, concerning convergence in measure and convergence almost everywhere of a sequence of conditional expectations $P_n^\mathscr{F}0f$ of a bounded function $f$, given a $\sigma$-field $\mathscr{F}_0$, with respect to varying probability measures $P_n$.

Publié le : 1972-08-14
Classification:

@article{1177692493,
     author = {Landers, D. and Rogge, L.},
     title = {Short Proofs of Two Convergence Theorems for Conditional Expectations},
     journal = {Ann. Math. Statist.},
     volume = {43},
     number = {6},
     year = {1972},
     pages = { 1372-1373},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177692493}
}

Landers, D.; Rogge, L. Short Proofs of Two Convergence Theorems for Conditional Expectations. Ann. Math. Statist., Tome 43 (1972) no. 6, pp.  1372-1373. http://gdmltest.u-ga.fr/item/1177692493/