Vol. 70, No. 1, 1977

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On the measurability of conditional expectations

Albrecht Irle

Vol. 70 (1977), No. 1, 177–178
Abstract

It is shown that for a measurable stochastic process V and a nondecreasing family of σ-algebras 𝒜t there exists a measurable stochastic process V such that V (t,) is a version of E(V (t,)|𝒜t) for all t.

Mathematical Subject Classification 2000
Primary: 60G05
Milestones
Received: 25 February 1975
Revised: 22 February 1977
Published: 1 May 1977
Authors
Albrecht Irle