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4. Show that Xt = Jo sign( Bs)dBs is a Brownian motion, where sign(x) = -1 if x 0 4. Show that Xt Jot is

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4. Show that Xt = Jo sign( Bs)dBs is a Brownian motion, where sign(x) = -1 if x 0

4. Show that Xt Jot is a Brownian motion, where sign@) 1 1 if < 0, if a; > 0.

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