Geodesic
On the relative compactness for the families of distributions of semimartingales
Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 1, pp. 143-151

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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), 
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     author = {V. A. Lebedev},
     title = {On the relative compactness for the families of distributions of semimartingales},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     volume = {26},
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     year = {1981},
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V. A. Lebedev. On the relative compactness for the families of distributions of semimartingales. Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 1, pp. 143-151. http://geodesic.mathdoc.fr/item/TVP_1981_26_1_a11/