ON THE COMMUTABILITY OF ESSENTIAL INFIMUM AND CONDITIONAL EXPECTATION OPERATIONS;
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Ⅰ. MAIN RESULT Let (Ω,P) be a probability space, and H a nonempty family of random variables. We denote by ess. inf H or ess. inf ξ∈ H the essential infimum of H, which always exists. In this note we only deal with the ess. inf case, the transplantation of results to the ess. sup case being trivial.
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B3,Praca Antonio Prado 48, BR-01010901 Sao Paulo, BrazilB3,Praca Antonio Prado 48, BR-01010901 Sao Paulo, Brazil
Fernandez, Mariela
Gonzalez-Lopez, Veronica Andrea
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Univ Estadual Campinas, Dept Stat, Rua Sergio Buarque de Holanda 651, BR-13083859 Sao Paulo, BrazilB3,Praca Antonio Prado 48, BR-01010901 Sao Paulo, Brazil