Suppose Xn is a tight sequence and Yn P 0. Show that XnYn P 0.

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Suppose Xn is a tight sequence and Yn P

→ 0. Show that XnYn P

→ 0.

If it is assumed Yn → 0 almost surely, can you conclude XnYn → 0 almost surely?

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Testing Statistical Hypotheses Volume I

ISBN: 9783030705770

4th Edition

Authors: E.L. Lehmann, Joseph P. Romano

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