=+37.5. Suppose that [W ,: t 0] is some stochastic process having independent, sta- tionary increments
Question:
=+37.5. Suppose that [W ,: t ≥ 0] is some stochastic process having independent, sta-
tionary increments satisfying E[W,] - 0 and E[W,2] =t. Show that if the finite-dimensional distributions are preserved by the transformation (37.11), then they must be those of Brownian motion.
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Probability And Measure Wiley Series In Probability And Mathematical Statistics
ISBN: 9788126517718
3rd Edition
Authors: Patrick Billingsley
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