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Conditional expectations and submartingale sequences of random Schwartz distributions

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  • Chi, G. Y. H.

Abstract

Let ([Omega], [Sigma], P) be a fixed complete probability space, the real Schwartz space, and its strong dual. and are partially ordered by and respectively, where is the positive cone of nonnegative functions in and its dual in . is a strict -cone and is normal, where is the family of all bounded subsets of . If X, Y are two random Schwartz distributions, then X

Suggested Citation

  • Chi, G. Y. H., 1973. "Conditional expectations and submartingale sequences of random Schwartz distributions," Journal of Multivariate Analysis, Elsevier, vol. 3(1), pages 71-92, March.
    • Handle: RePEc:eee:jmvana:v:3:y:1973:i:1:p:71-92
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