=+21 8. Suppose that X is irrational with probability 1. Let u ,, be the distribution of
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=+21 8. Suppose that X is irrational with probability 1. Let u ,, be the distribution of the fractional part {n.X}. Use the continuity theorem and Theorem 25.1 to show that n Et-14, converges weakly to the uniform distribution on [0,1].
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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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