=+(iv) Use the result of (iii) and Kroneckers lemma to show that n1n i=1 Zi a.s.

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=+(iv) Use the result of (iii) and Kronecker’s lemma to show that n−1n i=1 Zi a.s. −→ 0, n−1n i=1 Wi a.s. −→ 0;

hence, (8.26) can be strengthened to a.s. convergence under the stronger moment condition.

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