=+36.4. Suppose that the random variables X1, X2, ... assume the values 0 and 1 and P[X]
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=+36.4. Suppose that the random variables X1, X2, ... assume the values 0 and 1 and P[X] = 1 i.o.] = 1. Let u be the distribution over (0, 1] of L" _, X ,, /2". Show that on the unit interval with the measure u, the digits of the nonterminating dyadic expansion form a stochastic process with the same finite-dimensional distributions as X 1, X2 ,. . . .
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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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