Open Access
August, 1972 Short Proofs of Two Convergence Theorems for Conditional Expectations
D. Landers, L. Rogge
Ann. Math. Statist. 43(4): 1372-1373 (August, 1972). DOI: 10.1214/aoms/1177692493


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 $P_n$.


Download Citation

D. Landers. L. Rogge. "Short Proofs of Two Convergence Theorems for Conditional Expectations." Ann. Math. Statist. 43 (4) 1372 - 1373, August, 1972.


Published: August, 1972
First available in Project Euclid: 27 April 2007

zbMATH: 0241.60022
MathSciNet: MR315748
Digital Object Identifier: 10.1214/aoms/1177692493

Rights: Copyright © 1972 Institute of Mathematical Statistics

Vol.43 • No. 4 • August, 1972
Back to Top