2003 | OriginalPaper | Buchkapitel
Convergence to a Process with Independent Increments
verfasst von : Jean Jacod, Albert N. Shiryaev
Erschienen in: Limit Theorems for Stochastic Processes
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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This chapter constitutes the second step on our way to general limit theorems. We consider a sequence (Xn) of semimartingales, with characteristics (Bn, Cn, vn), and a limiting process X which is a PII with characteristics (B, C, v). Our main objective is to prove that the various conditions of Chapter VII still insure the (functional or finite-dimensional) convergence of (Xn) to X, although the Xn’s are no longer PII.