=+20.23. If X, - 0 with probability 1, then n-1C_ Xx -> 0 with probability 1 by
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=+20.23. If X, - 0 with probability 1, then n-1C"_ Xx -> 0 with probability 1 by the standard theorem on Cesaro means [A30]. Show by example that this is not so if convergence with probability 1 is replaced by convergence in probability.
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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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