This article is cited in 3 papers

Short Communications

On the relative compactness for the families of distributions of semimartingales

V. A. Lebedev

Moscow

Abstract: For the sets of semimartingales on $[0,T]$ or on $[0,\infty[$ we give sufficient conditions for the relative compactness of families of their distributions on $D_{[0,T]}(R^d)$ or $D_{[0,\infty[}(R^d)$ (with the $J_1$-topology of Skorohod) in the terms of characteristics of the decomposition (1),

Received: 24.08.1978

 English version: Theory of Probability and its Applications, 1981, 26:1, 140–148

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