=+ (c) Suppose that ((t)|=(((')| =1 for incommensurable t and t' (t=0, [' +0, t/t' irrational). Show
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(c) Suppose that ((t)|=(((')| =1 for incommensurable t and t' (t=0,
[' +0, t/t' irrational). Show that P[X = c] = 1 for some constant c.
26.2. If p( -, x] =p[ -x, ) for all x (which implies that u( A) = p(-A) for all A € 22 ), then u is symmetric. Show that this holds if and only if the characteristic function is real.
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Related Book For
Probability And Measure Wiley Series In Probability And Mathematical Statistics
ISBN: 9788126517718
3rd Edition
Authors: Patrick Billingsley
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