Prove the converse of Corollary 23.20. Data From Corollary 23.20 23.20 Corollary (Lvy 1948). Let (Xt, Ft)to
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Prove the converse of Corollary 23.20.
Data From Corollary 23.20
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23.20 Corollary (Lvy 1948). Let (Xt, Ft)to be a stochastic process with values in Rd and continuous sample paths. If for all j, k = 1,..., d, the processes (X), Ft)tzo and (X)X() - 8jkt, Ft) 20 (X)X()-8jkt, are local martingales, then (Xt, Ft)tzo is a d-dimensional Brownian motion.
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Related Book For
Brownian Motion A Guide To Random Processes And Stochastic Calculus De Gruyter Textbook
ISBN: 9783110741254
3rd Edition
Authors: René L. Schilling, Björn Böttcher
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