Let (left(B_{t}, mathscr{F}_{t}ight)_{t geqslant 0}) be a (mathrm{BM}^{d}). Show that (X_{t}=frac{1}{d}left|B_{t}ight|^{2}-t, t geqslant 0), is a martingale.
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Let \(\left(B_{t}, \mathscr{F}_{t}ight)_{t \geqslant 0}\) be a \(\mathrm{BM}^{d}\). Show that \(X_{t}=\frac{1}{d}\left|B_{t}ight|^{2}-t, t \geqslant 0\), is a martingale.
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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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